This section places limits on the mass of the first Kaluza-Klein (KK) excitation of the graviton in the warped extra dimension model of Randall and Sundrum. Bounds in parenthesis assume Standard Model fields propagate in the bulk. Experimental bounds depend strongly on the warp parameter, $\mathit k$. See the “Extra Dimensions” review for a full discussion.

Here we list limits for the value of the warp parameter $\mathit k/{{\overline{\mathit M}}_{{{P}}}}$ = 0.1.

VALUE (TeV) CL% DOCUMENT ID TECN  COMMENT $\bf{> 4.78}$ 95 1 SIRUNYAN 2021 N CMS ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit G}}$ $\rightarrow$ ${{\mathit e}^{+}}{{\mathit e}^{-}}$, ${{\mathit \mu}^{+}}{{\mathit \mu}^{-}}$ • • We do not use the following data for averages, fits, limits, etc. • • 2 HAYRAPETYAN 2024 AE CMS ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit G}}$ $\rightarrow$ ${{\mathit H}}{{\mathit H}}$ $> 4.8$ 95 3 HAYRAPETYAN 2024 AJ CMS ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit G}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \gamma}}$ 4 TUMASYAN 2024 B CMS ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit G}}$ $\rightarrow$ ${{\mathit H}}{{\mathit H}}$ 5 TUMASYAN 2023 AP CMS ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit G}}$ $\rightarrow$ ${{\mathit W}}{{\mathit W}}$ , ${{\mathit Z}}{{\mathit Z}}$ 6 AAD 2022 F ATLS ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit G}}$ $\rightarrow$ ${{\mathit H}}{{\mathit H}}$ 7 TUMASYAN 2022 D CMS ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit G}}$ $\rightarrow$ ${{\mathit W}}{{\mathit W}}$ 8 TUMASYAN 2022 J CMS ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit G}}$ $\rightarrow$ ${{\mathit Z}}{{\mathit Z}}$ 9 TUMASYAN 2022 R CMS ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit G}}$ $\rightarrow$ ${{\mathit Z}}{{\mathit Z}}$ 10 TUMASYAN 2022 U CMS ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit G}}$ $\rightarrow$ ${{\mathit H}}{{\mathit H}}$ 11 AAD 2021 AF ATLS ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit G}}$ $\rightarrow$ ${{\mathit Z}}{{\mathit Z}}$ $> 4.5$ 95 12 AAD 2021 AY ATLS ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit G}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \gamma}}$ 13 AAD 2020 AT ATLS ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit G}}$ $\rightarrow$ ${{\mathit W}}{{\mathit W}}$ , ${{\mathit Z}}{{\mathit Z}}$ 14 AAD 2020 C ATLS ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit G}}$ $\rightarrow$ ${{\mathit H}}{{\mathit H}}$ 15 AAD 2020 T ATLS ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit G}}$ $\rightarrow$ ${{\mathit b}}{{\overline{\mathit b}}}$ $> 2.6$ 95 16 SIRUNYAN 2020 AI CMS ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit G}}$ $\rightarrow$ ${{\mathit j}}{{\mathit j}}$ 17 SIRUNYAN 2020 F CMS ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit G}}$ $\rightarrow$ ${{\mathit H}}{{\mathit H}}$ 18 AABOUD 2019 O ATLS ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit G}}$ $\rightarrow$ ${{\mathit H}}{{\mathit H}}$ 19 AAD 2019 D ATLS ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit G}}$ $\rightarrow$ ${{\mathit W}}{{\mathit W}}$ , ${{\mathit Z}}{{\mathit Z}}$ 20 SIRUNYAN 2019 BE CMS ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit G}}$ $\rightarrow$ ${{\mathit H}}{{\mathit H}}$ 21 AABOUD 2018 BI ATLS ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit G}}$ $\rightarrow$ ${{\mathit t}}{{\overline{\mathit t}}}$ 22 AABOUD 2018 CJ ATLS ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit G}}$ $\rightarrow$ ${{\mathit V}}{{\mathit V}},{{\mathit V}}{{\mathit H}},{{\mathit \ell}}{{\overline{\mathit \ell}}}$ 23 AABOUD 2018 CQ ATLS ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit G}}$ $\rightarrow$ ${{\mathit H}}{{\mathit H}}$ 24 AABOUD 2018 CW ATLS ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit G}}$ $\rightarrow$ ${{\mathit H}}{{\mathit H}}$ 25 SIRUNYAN 2018 AF CMS ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit G}}$ $\rightarrow$ ${{\mathit H}}{{\mathit H}}$ 26 SIRUNYAN 2018 AS CMS ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit G}}$ $\rightarrow$ ${{\mathit Z}}{{\mathit Z}}$ 27 SIRUNYAN 2018 CW CMS ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit G}}$ $\rightarrow$ ${{\mathit H}}{{\mathit H}}$ 28 SIRUNYAN 2018 I CMS ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit G}}$ $\rightarrow$ ${{\mathit b}}{{\overline{\mathit b}}}$ 29 AAD 2016 R ATLS ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit G}}$ $\rightarrow$ ${{\mathit W}}{{\mathit W}},{{\mathit Z}}{{\mathit Z}}$ 30 AAD 2015 AZ ATLS ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit G}}$ $\rightarrow$ ${{\mathit W}}{{\mathit W}}$ 31 AAD 2015 CP ATLS ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit G}}$ $\rightarrow$ ${{\mathit W}}{{\mathit W}},{{\mathit Z}}{{\mathit Z}}$ $> 2.68$ 95 32 AAD 2014 V ATLS ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit G}}$ $\rightarrow$ ${{\mathit e}^{+}}{{\mathit e}^{-}}$, ${{\mathit \mu}^{+}}{{\mathit \mu}^{-}}$ $\text{>1.23 (>0.84)}$ 95 33 AAD 2013 A ATLS ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit G}}$ $\rightarrow$ ${{\mathit W}}{{\mathit W}}$ $\text{>0.94 (>0.71)}$ 95 34 AAD 2013 AO ATLS ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit G}}$ $\rightarrow$ ${{\mathit W}}{{\mathit W}}$ $> 2.23$ 95 35 AAD 2013 AS ATLS ${{\mathit p}}$ ${{\mathit p}}$ ${{\mathit \gamma}}$, ${{\mathit e}^{+}}{{\mathit e}^{-}}$, ${{\mathit \mu}^{+}}{{\mathit \mu}^{-}}$ $> 0.845$ 95 36 AAD 2012 AD ATLS ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit G}}$ $\rightarrow$ ${{\mathit Z}}{{\mathit Z}}$ 37 AALTONEN 2012 V CDF ${{\mathit p}}$ ${{\overline{\mathit p}}}$ $\rightarrow$ ${{\mathit G}}$ $\rightarrow$ ${{\mathit Z}}{{\mathit Z}}$ 38 BAAK 2012 RVUE Electroweak 39 AALTONEN 2011 G CDF ${{\mathit p}}$ ${{\overline{\mathit p}}}$ $\rightarrow$ ${{\mathit G}}$ $\rightarrow$ ${{\mathit Z}}{{\mathit Z}}$ $> 1.058$ 95 40 AALTONEN 2011 R CDF ${{\mathit p}}$ ${{\overline{\mathit p}}}$ $\rightarrow$ ${{\mathit G}}$ $\rightarrow$ ${{\mathit e}^{+}}{{\mathit e}^{-}}$, ${{\mathit \gamma}}{{\mathit \gamma}}$ $> 0.754$ 95 41 ABAZOV 2011 H D0 ${{\mathit p}}$ ${{\overline{\mathit p}}}$ $\rightarrow$ ${{\mathit G}}$ $\rightarrow$ ${{\mathit W}}{{\mathit W}}$ $> 0.607$ 42 AALTONEN 2010 N CDF ${{\mathit p}}$ ${{\overline{\mathit p}}}$ $\rightarrow$ ${{\mathit G}}$ $\rightarrow$ ${{\mathit W}}{{\mathit W}}$ $> 1.05$ 43 ABAZOV 2010 F D0 ${{\mathit p}}$ ${{\overline{\mathit p}}}$ $\rightarrow$ ${{\mathit G}}$ $\rightarrow$ ${{\mathit e}^{+}}{{\mathit e}^{-}}$ , ${{\mathit \gamma}}{{\mathit \gamma}}$ 44 AALTONEN 2008 S CDF ${{\mathit p}}$ ${{\overline{\mathit p}}}$ $\rightarrow$ ${{\mathit G}}$ $\rightarrow$ ${{\mathit Z}}{{\mathit Z}}$ $> 0.90$ 45 ABAZOV 2008 J D0 ${{\mathit p}}$ ${{\overline{\mathit p}}}$ $\rightarrow$ ${{\mathit G}}$ $\rightarrow$ ${{\mathit e}^{+}}{{\mathit e}^{-}}$, ${{\mathit \gamma}}{{\mathit \gamma}}$ 46 AALTONEN 2007 G CDF ${{\mathit p}}$ ${{\overline{\mathit p}}}$ $\rightarrow$ ${{\mathit G}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \gamma}}$ $> 0.889$ 47 AALTONEN 2007 H CDF ${{\mathit p}}$ ${{\overline{\mathit p}}}$ $\rightarrow$ ${{\mathit G}}$ $\rightarrow$ ${{\mathit e}}{{\overline{\mathit e}}}$ $> 0.785$ 48 ABAZOV 2005 N D0 ${{\mathit p}}$ ${{\overline{\mathit p}}}$ $\rightarrow$ ${{\mathit G}}$ $\rightarrow$ ${{\mathit \ell}}{{\mathit \ell}}$, ${{\mathit \gamma}}{{\mathit \gamma}}$ $> 0.71$ 49 ABULENCIA 2005 A CDF ${{\mathit p}}$ ${{\overline{\mathit p}}}$ $\rightarrow$ ${{\mathit G}}$ $\rightarrow$ ${{\mathit \ell}}{{\overline{\mathit \ell}}}$ 1  SIRUNYAN 2021N use 137 (140) fb${}^{-1}$ of data from ${{\mathit p}}{{\mathit p}}$ collisions at $\sqrt {s }$ = 13 TeV to search for dilepton resonances in the dielectron (dimuon) channel. See Table 6 for other limits with warp parameter values $\mathit k/{{\overline{\mathit M}}_{{{P}}}}$ = 0.01 and 0.05. This updates the results of SIRUNYAN 2018BB. 2  HAYRAPETYAN 2024AE use 138 fb${}^{-1}$ of data from ${{\mathit p}}{{\mathit p}}$ collisions at $\sqrt {s }$ = 13 TeV to search for Higgs boson pair production in the ${{\mathit b}}{{\overline{\mathit b}}}{{\mathit W}}{{\mathit W}}$ final state. See their Figure 19 for limits on the cross section times branching fraction as a function of the KK graviton mass for $\mathit k/{{\overline{\mathit M}}_{{{P}}}}$ = 0.3, 0.5 and 1. 3  HAYRAPETYAN 2024AJ use 138 fb${}^{-1}$ of data from ${{\mathit p}}{{\mathit p}}$ collisions at $\sqrt {s }$ = 13 TeV, in the diphoton channel to place a lower limit on the mass of the lightest KK graviton. See their paper for limits with other warp parameter values $\mathit k/{{\overline{\mathit M}}_{{{P}}}}$ = 0.01 and 0.2. This updates the results of SIRUNYAN 2018DU. 4  TUMASYAN 2024B use 138 fb${}^{-1}$ of data from ${{\mathit p}}{{\mathit p}}$ collisions at $\sqrt {s }$ = 13 TeV to search for Higgs boson pair production in the ${{\mathit \gamma}}{{\mathit \gamma}}{{\mathit b}}{{\overline{\mathit b}}}$ final state. See their Figure 6 for limits on the cross section times branching fraction as a function of the KK graviton mass assuming $\mathit k/{{\overline{\mathit M}}_{{{P}}}}$ = 0.5 and 1. This updates the result of SIRUNYAN 2019. 5  TUMASYAN 2023AP use 138 fb${}^{-1}$ of data from ${{\mathit p}}{{\mathit p}}$ collisions at $\sqrt {s }$ = 13 TeV to search for ${{\mathit W}}{{\mathit W}}$ , ${{\mathit Z}}{{\mathit Z}}$ diboson resonances in ${{\mathit q}}{{\overline{\mathit q}}}{{\mathit q}}{{\overline{\mathit q}}}$ final states. See their Figure 7 for the limit on the cross section times branching fraction as a function of the KK graviton mass. Assuming $\mathit k/{{\overline{\mathit M}}_{{{P}}}}$ = 0.5, a graviton mass is excluded below 1400 GeV. This updates the result of SIRUNYAN 2020Q. 6  AAD 2022F use $126 - 139$ fb${}^{-1}$ of data from ${{\mathit p}}{{\mathit p}}$ collisions at $\sqrt {s }$ = 13 TeV to search for Higgs boson pair production in the ${{\mathit b}}{{\overline{\mathit b}}}{{\mathit b}}{{\overline{\mathit b}}}$ final state. See their Figure 14 for limits on the cross section times branching fraction as a function of the KK graviton mass. Assuming $\mathit k/{{\overline{\mathit M}}_{{{P}}}}$ = 1, gravitons in the mass range $298 - 1460$ GeV are excluded. This updates the results of AABOUD 2019A. 7  TUMASYAN 2022D use 137 fb${}^{-1}$ of data from ${{\mathit p}}{{\mathit p}}$ collisions at $\sqrt {s }$ = 13 TeV to search for ${{\mathit W}}{{\mathit W}}$ resonances in ${{\mathit \ell}}{{\mathit \nu}}{{\mathit q}}{{\mathit q}}$ final states (${{\mathit \ell}}$ = ${{\mathit e}}$, ${{\mathit \mu}}$). See their Figure 6 for the limit on the KK graviton mass as a function of the cross section times branching fraction, including theoretical values for $\mathit k/{{\overline{\mathit M}}_{{{P}}}}$ = 0.5. This updates the results of SIRUNYAN 2018AX. 8  TUMASYAN 2022J use 137 fb${}^{-1}$ of data from ${{\mathit p}}{{\mathit p}}$ collisions at $\sqrt {s }$ = 13 TeV to search for ${{\mathit Z}}{{\mathit Z}}$ resonances in the ${{\mathit \nu}}{{\overline{\mathit \nu}}}{{\mathit q}}{{\overline{\mathit q}}}$ final state. See their Figure 10 for the limit on the KK graviton mass as a function of the cross section times branching fraction, assuming $\mathit k/{{\overline{\mathit M}}_{{{P}}}}$ = 0.5 . This updates the result of SIRUNYAN 2018BK. 9  TUMASYAN 2022R use 138 fb${}^{-1}$ of data from ${{\mathit p}}{{\mathit p}}$ collisions at $\sqrt {s }$ = 13 TeV to search for ${{\mathit Z}}{{\mathit Z}}$ resonances in 2 ${{\mathit \ell}}$2 ${{\mathit q}}$ final states (${{\mathit \ell}}$ = ${{\mathit e}}$, ${{\mathit \mu}}$). See their Figure 8 for the limit on the KK graviton mass as a function of the cross section times branching fraction. Assuming $\mathit k/{{\overline{\mathit M}}_{{{P}}}}$ = 0.5, a graviton mass is excluded below 1200 GeV. This updates the result of SIRUNYAN 2018DJ. 10  TUMASYAN 2022U use 138 fb${}^{-1}$ of data from ${{\mathit p}}{{\mathit p}}$ collisions at $\sqrt {s }$ = 13 TeV to search for Higgs boson pair production in the ${{\mathit b}}{{\overline{\mathit b}}}{{\mathit q}}{{\overline{\mathit q}}^{\,'}}{{\mathit \ell}}{{\mathit \nu}}$, ${{\mathit b}}{{\overline{\mathit b}}}{{\mathit \ell}}{{\mathit \nu}}{{\mathit \ell}}{{\mathit \nu}}$ and ${{\mathit b}}{{\overline{\mathit b}}}{{\mathit \ell}}{{\mathit \nu}}{{\mathit \nu}}{{\mathit \ell}}{{\mathit \nu}}{{\mathit \nu}}$ final states (${{\mathit \ell}}$ = ${{\mathit e}}$, ${{\mathit \mu}}$). See their Figure 7 for limits on the cross section times branching fraction as a function of the KK graviton mass, including theoretical values for $\mathit k/{{\overline{\mathit M}}_{{{P}}}}$ = 0.3 and 0.5. This updates the results of SIRUNYAN 2019CF and SIRUNYAN 2018F. 11  AAD 2021AF use 139 fb${}^{-1}$ of data from ${{\mathit p}}{{\mathit p}}$ collisions at $\sqrt {s }$ = 13 TeV to search for ${{\mathit Z}}{{\mathit Z}}$ resonances in the ${{\mathit \ell}}{{\mathit \ell}}{{\mathit \ell}}{{\mathit \ell}}$ and ${{\mathit \ell}}{{\mathit \ell}}{{\mathit \nu}}{{\overline{\mathit \nu}}}$ final states (${{\mathit \ell}}={{\mathit e}}$, ${{\mathit \mu}}$). See their Figure 8 for the limit on the cross section times branching fraction as a function of the KK graviton mass, including theoretical values for $\mathit k/{{\overline{\mathit M}}_{{{P}}}}$ = 1. This updates the results of AAD 2015AU and AABOUD 2018BF. 12  AAD 2021AY use 139 fb${}^{-1}$ of data from ${{\mathit p}}{{\mathit p}}$ collisions at $\sqrt {s }$ = 13 TeV in the diphoton channel to place a lower limit on the mass of the lightest KK graviton. This updates the results of AABOUD 2017AP. 13  AAD 2020AT use 139 fb${}^{-1}$ of data from ${{\mathit p}}{{\mathit p}}$ collisions at $\sqrt {s }$ = 13 TeV to search for diboson resonances in semileptonic final states (${{\mathit \ell}}{{\mathit \nu}}{{\mathit q}}{{\mathit q}},{{\mathit \ell}}{{\mathit \ell}}{{\mathit q}}{{\mathit q}}$, ${{\mathit \nu}}{{\mathit \nu}}{{\mathit q}}{{\mathit q}}$). See their Figure 15 for the limit on the cross section times branching fraction as a function of the KK graviton mass. Lower limits on the graviton mass are also given for $\mathit k/{{\overline{\mathit M}}_{{{P}}}}$ = 1. This updates the results of AABOUD 2018AK and AABOUD 2018AL. 14  AAD 2020C use 36.1 fb${}^{-1}$ of data from ${{\mathit p}}{{\mathit p}}$ collisions at $\sqrt {s }$ = 13 TeV to search for Higgs boson pair production in the ${{\mathit b}}{{\overline{\mathit b}}}{{\mathit b}}{{\overline{\mathit b}}}$, ${{\mathit b}}{{\overline{\mathit b}}}{{\mathit W}^{+}}{{\mathit W}^{-}}$, and ${{\mathit b}}{{\overline{\mathit b}}}{{\mathit \tau}^{+}}{{\mathit \tau}^{-}}$ final states. See their Figure 5(b)(c) for limits on the cross section as a function of the KK graviton mass. In the case of $\mathit k/{{\overline{\mathit M}}_{{{P}}}}$ = 1 and 2, gravitons are excluded in the mass range $260 - 3000$ GeV and $260 - 1760$ GeV, respectively. 15  AAD 2020T use 139 fb${}^{-1}$ of data from ${{\mathit p}}{{\mathit p}}$ collisions at $\sqrt {s }$ = 13 TeV to search for narrow resonances decaying to bottom quark pairs. See their Figure 7 for the limit on the product of the cross section, branching fraction, acceptance and ${{\mathit b}}$-tagging efficiency as a function of the KK graviton mass. In the case of $\mathit k/{{\overline{\mathit M}}_{{{P}}}}$ = 0.2, KK gravitons in the mass range $1.25 - 2.8$ TeV are excluded. 16  SIRUNYAN 2020AI use 137 fb${}^{-1}$ of data from ${{\mathit p}}{{\mathit p}}$ collisions at $\sqrt {s }$ = 13 TeV to search for dijet resonances. See their Figure 6 for the limit on the product of the cross section, branching fraction and acceptance as a function of the KK graviton mass. This updates the results of SIRUNYAN 2018BO. 17  SIRUNYAN 2020F use 35.9 fb${}^{-1}$ of data from ${{\mathit p}}{{\mathit p}}$ collisions at $\sqrt {s }$ = 13 TeV to search for Higgs boson pair production in the ${{\mathit b}}{{\overline{\mathit b}}}{{\mathit Z}}{{\mathit Z}}$ final state. See their Figure 4 for limits on the cross section times branching fraction as a function of the KK graviton mass, and Figure 5 for limits as a function of $\mathit k/{{\overline{\mathit M}}_{{{P}}}}$. 18  AABOUD 2019O use 36.1 fb${}^{-1}$ of data from ${{\mathit p}}{{\mathit p}}$ collisions at $\sqrt {s }$ = 13 TeV to search for Higgs boson pair production in the ${{\mathit b}}{{\overline{\mathit b}}}{{\mathit W}}{{\mathit W}}$ final state. See their Figure 12 for limits on the cross section times branching fraction as a function of the KK graviton mass for $\mathit k/{{\overline{\mathit M}}_{{{P}}}}$ = 1 and $\mathit k/{{\overline{\mathit M}}_{{{P}}}}$ = 2. 19  AAD 2019D use 139 fb${}^{-1}$ of data from ${{\mathit p}}{{\mathit p}}$ collisions at $\sqrt {s }$ = 13 TeV to search for diboson resonances in the all-hadronic final state. See their Figure 9(b) for the limit on the cross section times branching fraction as a function of the KK graviton mass, including theoretical values for $\mathit k/{{\overline{\mathit M}}_{{{P}}}}$ = 1. This updates the results of AABOUD 2018F. 20  SIRUNYAN 2019BE use 35.9 fb${}^{-1}$ of data from ${{\mathit p}}{{\mathit p}}$ collisions at $\sqrt {s }$ = 13 TeV to search for Higgs boson pair production by combining the results from four final states: ${{\mathit b}}{{\overline{\mathit b}}}{{\mathit \gamma}}{{\mathit \gamma}}$, ${{\mathit b}}{{\overline{\mathit b}}}{{\mathit \tau}}{{\overline{\mathit \tau}}}$, ${{\mathit b}}{{\overline{\mathit b}}}{{\mathit b}}{{\overline{\mathit b}}}$, and ${{\mathit b}}{{\overline{\mathit b}}}{{\mathit V}}{{\mathit V}}$. See their Figure 7 for limits on the cross section times branching fraction as a function of the KK graviton mass. 21  AABOUD 2018BI use 36.1 fb${}^{-1}$ of data from ${{\mathit p}}{{\mathit p}}$ collisions at $\sqrt {s }$ = 13 TeV to search for top-quark pairs decaying into the lepton-plus jets topology. See their Figure 16 for the limit on the KK graviton mass as a function of the cross section times branching fraction, including theoretical values for $\mathit k/{{\overline{\mathit M}}_{{{P}}}}$ = 1. 22  AABOUD 2018CJ combine the searches for heavy resonances decaying into bosonic and leptonic final states from 36.1 fb${}^{-1}$ of ${{\mathit p}}{{\mathit p}}$ collision data at $\sqrt {s }$ = 13 TeV. The lower limit on the KK graviton mass, with $\mathit k/{{\overline{\mathit M}}_{{{P}}}}$ = 1, is 2.3 TeV. 23  AABOUD 2018CQ use 36.1 fb${}^{-1}$ of data from ${{\mathit p}}{{\mathit p}}$ collisions at $\sqrt {s }$ = 13 TeV to search for Higgs boson pair production in the ${{\mathit b}}{{\overline{\mathit b}}}{{\mathit \tau}^{+}}{{\mathit \tau}^{-}}$ final state. See their Figure 2 for limits on the cross section times branching fraction as a function of the KK graviton mass. Assuming $\mathit k/{{\overline{\mathit M}}_{{{P}}}}$ = 1, gravitons in the mass range $325 - 885$ GeV are excluded. 24  AABOUD 2018CW use 36.1 fb${}^{-1}$ of data from ${{\mathit p}}{{\mathit p}}$ collisions at $\sqrt {s }$ = 13 TeV to search for Higgs boson pair production in the ${{\mathit \gamma}}{{\mathit \gamma}}{{\mathit b}}{{\overline{\mathit b}}}$ final state. See their Figure 7 for limits on the cross section times branching fraction as a function of the KK graviton mass. 25  SIRUNYAN 2018AF use 35.9 fb${}^{-1}$ of data from ${{\mathit p}}{{\mathit p}}$ collisions at $\sqrt {s }$ = 13 TeV to search for Higgs boson pair production in the ${{\mathit b}}{{\overline{\mathit b}}}{{\mathit b}}{{\overline{\mathit b}}}$ final state. See their Figure 9 for limits on the cross section times branching fraction as a function of the KK graviton mass, including theoretical values for $\mathit k/{{\overline{\mathit M}}_{{{P}}}}$ = 0.5. This updates the results of KHACHATRYAN 2015R. 26  SIRUNYAN 2018AS use 35.9 fb${}^{-1}$ of data from ${{\mathit p}}{{\mathit p}}$ collisions at $\sqrt {s }$ = 13 TeV to search for ${{\mathit Z}}{{\mathit Z}}$ resonances in the ${{\mathit \ell}}{{\mathit \ell}}{{\mathit \nu}}{{\overline{\mathit \nu}}}$ final state (${{\mathit \ell}}={{\mathit e}}$, ${{\mathit \mu}}$). See their Figure 5 for the limit on the KK graviton mass as a function of the cross section times branching fraction, including theoretical values for $\mathit k/{{\overline{\mathit M}}_{{{P}}}}$ = 0.1, 0.5, and 1.0. 27  SIRUNYAN 2018CW use 35.9 fb${}^{-1}$ of data from ${{\mathit p}}{{\mathit p}}$ collisions at $\sqrt {s }$ = 13 TeV to search for Higgs boson pair production in the ${{\mathit b}}{{\overline{\mathit b}}}{{\mathit b}}{{\overline{\mathit b}}}$ final state. See their Figure 8 for limits on the cross section times branching fraction as a function of the KK graviton mass, including theoretical values for $\mathit k/{{\overline{\mathit M}}_{{{P}}}}$ = 0.5. 28  SIRUNYAN 2018I use 19.7 fb${}^{-1}$ of data from ${{\mathit p}}{{\mathit p}}$ collisions at $\sqrt {s }$ = 8 TeV to search for narrow resonances decaying to bottom quark pairs. See their Figure 3 for the limit on the KK graviton mass as a function of the cross section times branching fraction in the mass range of $325 - 1200$ GeV. 29  AAD 2016R use 20.3 fb${}^{-1}$ of data from ${{\mathit p}}{{\mathit p}}$ collisions at $\sqrt {s }$ = 8 TeV to place a lower bound on the mass of the lightest KK graviton. See their Figure 4 for the limit on the KK graviton mass as a function of the cross section times branching fraction. 30  AAD 2015AZ use 20.3 fb${}^{-1}$ of data from ${{\mathit p}}{{\mathit p}}$ collisions at $\sqrt {s }$ = 8 TeV to place a lower bound on the mass of the lightest KK graviton. See their Figure 2 for limits on the KK graviton mass as a function of the cross section times branching ratio. 31  AAD 2015CP use 20.3 fb${}^{-1}$ of data from ${{\mathit p}}{{\mathit p}}$ collisions at $\sqrt {s }$ = 8 TeV to place a lower bound on the mass of the lightest KK graviton. See their Figures 6b and 6c for the limit on the KK graviton mass as a function of the cross section times branching fraction. 32  AAD 2014V use 20.3 (20.5) fb${}^{-1}$ of data from ${{\mathit p}}{{\mathit p}}$ collisions at $\sqrt {s }$ = 8 TeV in the dielectron (dimuon) channels to place a lower bound on the mass of the lightest KK graviton. This updates the results of AAD 2012CC . 33  AAD 2013A use 4.7 fb${}^{-1}$ of data from ${{\mathit p}}{{\mathit p}}$ collisions at $\sqrt {s }$ = 7 TeV in the ${{\mathit \ell}}{{\mathit \nu}}{{\mathit \ell}}{{\mathit \nu}}$ channel, to place a lower bound on the mass of the lightest KK graviton. 34  AAD 2013AO use 4.7 fb${}^{-1}$ of data from ${{\mathit p}}{{\mathit p}}$ collisions at $\sqrt {s }$ = 7 TeV in the ${{\mathit \ell}}{{\mathit \nu}}{{\mathit j}}{{\mathit j}}$ channel, to place a lower bound on the mass of the lightest KK graviton. 35  AAD 2013AS use 4.9 fb${}^{-1}$ of data from ${{\mathit p}}{{\mathit p}}$ collisions at $\sqrt {s }$ = 7 TeV in the diphoton channel to place lower limits on the mass of the lightest KK graviton. The diphoton channel is combined with previous results in the dielectron and dimuon channels to set the best limit. See their Table 2 for warp parameter values $\mathit k/{{\overline{\mathit M}}_{{{P}}}}$ between 0.01 and 0.1. This updates the results of AAD 2012Y . 36  AAD 2012AD use 1.02 fb${}^{-1}$ of data from ${{\mathit p}}{{\mathit p}}$ collisions at $\sqrt {s }$ = 7 TeV to search for KK gravitons in a warped extra dimension decaying to ${{\mathit Z}}{{\mathit Z}}$ dibosons in the ${{\mathit l}}{{\mathit l}}{{\mathit j}}{{\mathit j}}$ and ${{\mathit l}}{{\mathit l}}{{\mathit l}}{{\mathit l}}$ channels (${{\mathit \ell}}={{\mathit e}}$, ${{\mathit \mu}}$). The limit is quoted for the combined ${{\mathit l}}{{\mathit l}}{{\mathit j}}{{\mathit j}}$ + ${{\mathit l}}{{\mathit l}}{{\mathit l}}{{\mathit l}}$ channels. See their Figure 5 for limits on the cross section ${\mathit \sigma (}{{\mathit G}}$ $\rightarrow$ ${{\mathit Z}}{{\mathit Z}}{)}$ as a function of the graviton mass. 37  AALTONEN 2012V use 6 fb${}^{-1}$ of data from ${{\mathit p}}{{\overline{\mathit p}}}$ collisions at $\sqrt {s }$ = 1.96 TeV to search for KK gravitons in a warped extra dimension decaying to ${{\mathit Z}}{{\mathit Z}}$ dibosons in the ${{\mathit l}}{{\mathit l}}{{\mathit j}}{{\mathit j}}$ and ${{\mathit l}}{{\mathit l}}{{\mathit l}}{{\mathit l}}$ channels (${{\mathit \ell}}={{\mathit e}}$, ${{\mathit \mu}}$). It provides improved limits over the previous analysis in AALTONEN 2011G. See their Figure 16 for limits from all channels combined on the cross section times branching ratio ${\mathit \sigma (}{{\mathit p}}$ ${{\overline{\mathit p}}}$ $\rightarrow$ ${{\mathit G}^{*}}$ $\rightarrow$ ${{\mathit Z}}{{\mathit Z}}{)}$ as a function of the graviton mass. 38  BAAK 2012 use electroweak precision observables to place a lower bound on the compactification scale $\mathit k$ $\mathit e{}^{-{{\mathit \pi}} {{\mathit k}} {{\mathit R}}}$, assuming Standard Model fields propagate in the bulk and the Higgs is confined to the IR brane. See their Fig. 27 for more details. 39  AALTONEN 2011G use $2.5 - 2.9$ fb${}^{-1}$ of data from ${{\mathit p}}{{\overline{\mathit p}}}$ collisions at $\sqrt {s }$ = 1.96 TeV to search for KK gravitons in a warped extra dimension decaying to ${{\mathit Z}}{{\mathit Z}}$ dibosons via the ${{\mathit e}}{{\mathit e}}{{\mathit e}}{{\mathit e}}$, ${{\mathit e}}{{\mathit e}}{{\mathit \mu}}{{\mathit \mu}}$, ${{\mathit \mu}}{{\mathit \mu}}{{\mathit \mu}}{{\mathit \mu}}$, ${{\mathit e}}{{\mathit e}}{{\mathit j}}{{\mathit j}}$, and ${{\mathit \mu}}{{\mathit \mu}}{{\mathit j}}{{\mathit j}}$ channels. See their Fig. 20 for limits on the cross section ${\mathit \sigma (}{{\mathit G}}$ $\rightarrow$ ${{\mathit Z}}{{\mathit Z}}{)}$ as a function of the graviton mass. 40  AALTONEN 2011R uses 5.7 fb${}^{-1}$ of data from ${{\mathit p}}{{\overline{\mathit p}}}$ collisions at $\sqrt {s }$ = 1.96 TeV in the dielectron channel to place a lower bound on the mass of the lightest graviton. It provides combined limits with the diphoton channel analysis of AALTONEN 2011U. For warp parameter values ${{\mathit k}}/{{\overline{\mathit M}}_{{{P}}}}$ between 0.01 to 0.1 the lower limit on the mass of the lightest graviton is between 612 and 1058 GeV. See their Table I for more details. 41  ABAZOV 2011H use 5.4 fb${}^{-1}$ of data from ${{\mathit p}}{{\overline{\mathit p}}}$ collisions at $\sqrt {s }$ = 1.96 TeV to place a lower bound on the mass of the lightest graviton. Their 95$\%$ C.L. exclusion limit does not include masses less than 300 GeV. 42  AALTONEN 2010N use 2.9 fb${}^{-1}$ of data from ${{\mathit p}}{{\overline{\mathit p}}}$ collisions at $\sqrt {s }$ = 1.96 TeV to place a lower bound on the mass of the lightest graviton. 43  ABAZOV 2010F use 5.4 fb${}^{-1}$ of data from ${{\mathit p}}{{\overline{\mathit p}}}$ collisions at $\sqrt {s }$ = 1.96 TeV to place a lower bound on the mass of the lightest graviton. For warp parameter values of $\mathit k/{{\overline{\mathit M}}_{{{P}}}}$ between 0.01 and 0.1 the lower limit on the mass of the lightest graviton is between 560 and 1050 GeV. See their Fig. 3 for more details. 44  AALTONEN 2008S use ${{\mathit p}}{{\overline{\mathit p}}}$ collisions at $\sqrt {s }$ = 1.96 TeV to search for KK gravitons in warped extra dimensions. They search for graviton resonances decaying to four electrons via two ${{\mathit Z}}$ bosons using 1.1 fb${}^{-1}$ of data. See their Fig. 8 for limits on $\sigma \cdot{}B({{\mathit G}}$ $\rightarrow$ ${{\mathit Z}}{{\mathit Z}}$) versus the graviton mass. 45  ABAZOV 2008J use ${{\mathit p}}{{\overline{\mathit p}}}$ collisions at $\sqrt {s }$ = 1.96 TeV to search for KK gravitons in warped extra dimensions. They search for graviton resonances decaying to electrons and photons using 1 fb${}^{-1}$ of data. For warp parameter values of $\mathit k/{{\overline{\mathit M}}_{{{P}}}}$ between 0.01 and 0.1 the lower limit on the mass of the lightest excitation is between 300 and 900 GeV. See their Fig. 4 for more details. 46  AALTONEN 2007G use ${{\mathit p}}{{\overline{\mathit p}}}$ collisions at $\sqrt {s }$ = 1.96 TeV to search for KK gravitons in warped extra dimensions. They search for graviton resonances decaying to photons using 1.2 fb${}^{-1}$ of data. For warp parameter values of $\mathit k/{{\overline{\mathit M}}_{{{P}}}}$ = 0.1, 0.05, and 0.01 the bounds on the graviton mass are 850, 694, and 230 GeV, respectively. See their Fig. 3 for more details. See also AALTONEN 2007H. 47  AALTONEN 2007H use ${{\mathit p}}{{\overline{\mathit p}}}$ collisions at $\sqrt {s }$ = 1.96 TeV to search for KK gravitons in warped extra dimensions. They search for graviton resonances decaying to electrons using 1.3 fb${}^{-1}$ of data. For a warp parameter value of $\mathit k/{{\overline{\mathit M}}_{{{P}}}}$ = 0.1 the bound on the graviton mass is 807 GeV. See their Fig. 4 for more details. A combined analysis with the diphoton data of AALTONEN 2007G yields for $\mathit k/{{\overline{\mathit M}}_{{{P}}}}$ = 0.1 a graviton mass lower bound of 889 GeV. 48  ABAZOV 2005N use ${{\mathit p}}{{\overline{\mathit p}}}$ collisions at $\sqrt {s }$ = 1.96 TeV to search for KK gravitons in warped extra dimensions. They search for graviton resonances decaying to muons, electrons or photons, using 260~pb${}^{-1}$ of data. For warp parameter values of $\mathit k/{{\overline{\mathit M}}_{{{P}}}}$ = 0.1, 0.05, and 0.01, the bounds on the graviton mass are 785, 650 and 250$~$GeV respectively. See their Fig.$~$3 for more details. 49  ABULENCIA 2005A use ${{\mathit p}}{{\overline{\mathit p}}}$ collisions at $\sqrt {s }$ = 1.96 TeV to search for KK gravitons in warped extra dimensions. They search for graviton resonances decaying to muons or electrons, using 200~pb${}^{-1}$ of data. For warp parameter values of $\mathit k/{{\overline{\mathit M}}_{{{P}}}}$ = 0.1, 0.05, and 0.01, the bounds on the graviton mass are 710, 510 and 170 GeV respectively.

References