# Mass Limits on $\boldsymbol M_{\boldsymbol TT}$ INSPIRE search

This section includes limits on the cut-off mass scale, $\mathit M_{\mathit TT}$, of dimension-8 operators from KK graviton exchange in models of large extra dimensions. Ambiguities in the UV-divergent summation are absorbed into the parameter $\lambda$, which is taken to be $\lambda$ = $\pm{}$1 in the following analyses. Bounds for $\lambda$ = $-1$ are shown in parenthesis after the bound for $\lambda$ = $+1$, if appropriate. Different papers use slightly different definitions of the mass scale. The definition used here is related to another popular convention by $\mathit M{}^{4}_{TT}$ = (2/${{\mathit \pi}}$) $\Lambda {}^{4}_{T}$, as discussed in the above Review on Extra Dimensions.''

VALUE (TeV) CL% DOCUMENT ID TECN  COMMENT
$\bf{> 8.4}$ 95 1
 2017 F
CMS ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ dijet, ang. distrib.
$\bf{>20.6}$ $\bf{\text{(>15.7)}}$ 95 2
 2003
RVUE Dim-6 operators
• • • We do not use the following data for averages, fits, limits, etc. • • •
$> 7.2$ 95 3
 2017 AP
ATLS ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \gamma}}$
$>3.7$ 95 4
 2015 AE
CMS ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit e}^{+}}{{\mathit e}^{-}}$ , ${{\mathit \mu}^{+}}{{\mathit \mu}^{-}}$
$>6.3$ 95 5
 2015 J
CMS ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ dijet, ang. distrib.
$> 3.8$ 95 6
 2014 BE
ATLS ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit e}^{+}}{{\mathit e}^{-}}$ , ${{\mathit \mu}^{+}}{{\mathit \mu}^{-}}$
$> 2.94$ $\text{(>2.52)}$ 95 7
 2013 AS
ATLS ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \gamma}}$
$> 3.2$ 95 8
 2013 E
ATLS ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit e}^{+}}{{\mathit e}^{-}}$ , ${{\mathit \mu}^{+}}{{\mathit \mu}^{-}}$ , ${{\mathit \gamma}}{{\mathit \gamma}}$
$>2.66$ $\text{(>2.27)}$ 95 9
 2012 Y
ATLS ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \gamma}}$
10
 2012
RVUE Electroweak
$> 2.86$ 95 11
 2012 J
CMS ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit e}^{+}}{{\mathit e}^{-}}$ , ${{\mathit \mu}^{+}}{{\mathit \mu}^{-}}$
$> 2.84$ $\text{(>2.41)}$ 95 12
 2012 R
CMS ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \gamma}}$
$> 0.90$ $\text{(>0.92)}$ 95 13
 2011 C
H1 ${{\mathit e}^{\pm}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit e}^{\pm}}{{\mathit X}}$
$> 1.74$ $\text{(>1.71)}$ 95 14
 2011 A
CMS ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \gamma}}$
$> 1.48$ 95 15
 2009 AE
D0 ${{\mathit p}}$ ${{\overline{\mathit p}}}$ $\rightarrow$ dijet, ang. distrib.
$> 1.45$ 95 16
 2009 D
D0 ${{\mathit p}}$ ${{\overline{\mathit p}}}$ $\rightarrow$ ${{\mathit e}^{+}}{{\mathit e}^{-}}$ , ${{\mathit \gamma}}{{\mathit \gamma}}$
$> 1.1$ $\text{(> 1.0)}$ 95 17
 2007 A
ALEP ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit e}^{+}}{{\mathit e}^{-}}$
$> 0.898$ $\text{(> 0.998)}$ 95 18
 2006 C
DLPH ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \ell}^{+}}{{\mathit \ell}^{-}}$
$> 0.853$ $\text{(> 0.939)}$ 95 19
 2006
${{\mathit p}}$ ${{\overline{\mathit p}}}$ $\rightarrow$ ${{\mathit e}^{+}}{{\mathit e}^{-}}$ , ${{\mathit \gamma}}{{\mathit \gamma}}$
$> 0.96$ $\text{(>0.93)}$ 95 20
 2005 V
D0 ${{\mathit p}}$ ${{\overline{\mathit p}}}$ $\rightarrow$ ${{\mathit \mu}^{+}}{{\mathit \mu}^{-}}$
$>0.78$ $\text{(>0.79)}$ 95 21
 2004 B
ZEUS ${{\mathit e}^{\pm}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit e}^{\pm}}{{\mathit X}}$
$>0.805$ $\text{(>0.956)}$ 95 22
 2003 D
OPAL ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \gamma}}$
$>0.7$ $\text{(>0.7)}$ 95 23
 2003 D
L3 ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit Z}}{{\mathit Z}}$
$>0.82$ $\text{(>0.78)}$ 95 24
 2003
H1 ${{\mathit e}^{\pm}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit e}^{\pm}}{{\mathit X}}$
$>1.28$ $\text{(>1.25)}$ 95 25
 2003
RVUE
$>0.80$ $\text{(>0.85)}$ 95 26
 2003 C
ALEP ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \gamma}}$
$>0.84$ $\text{(>0.99)}$ 95 27
 2002 D
L3 ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \gamma}}$
$>1.2$ $\text{(>1.1)}$ 95 28
 2001
D0 ${{\mathit p}}$ ${{\overline{\mathit p}}}$ $\rightarrow$ ${{\mathit e}^{+}}{{\mathit e}^{-}}$ , ${{\mathit \gamma}}{{\mathit \gamma}}$
$>0.60$ $\text{(>0.63)}$ 95 29
 2000 R
OPAL ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \mu}^{+}}{{\mathit \mu}^{-}}$
$>0.63$ $\text{(>0.50)}$ 95 29
 2000 R
OPAL ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \tau}^{+}}{{\mathit \tau}^{-}}$
$>0.68$ $\text{(>0.61)}$ 95 29
 2000 R
OPAL ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \mu}^{+}}{{\mathit \mu}^{-}}$ , ${{\mathit \tau}^{+}}{{\mathit \tau}^{-}}$
30
 2000 A
DLPH ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \gamma}}$
$>0.680$ $\text{(>0.542)}$ 95 31
 2000 S
DLPH ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \mu}^{+}}{{\mathit \mu}^{-}}$ , ${{\mathit \tau}^{+}}{{\mathit \tau}^{-}}$
$\text{>15 - 28}$ 100 32
 2000 B
RVUE Electroweak
$>0.98$ 95 33
 2000
RVUE ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \gamma}}$
$\text{>0.29 - 0.38}$ 95 34
 2000
RVUE ($\mathit g–2)_{\mu }$
$\text{>0.50 - 1.1}$ 95 35
 2000
RVUE Electroweak
$>2.0$ $\text{(>2.0)}$ 95 36
 2000
RVUE ${{\overline{\mathit p}}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit j}}{{\mathit j}}$
$>1.0$ $\text{(>1.1)}$ 95 37
 2000
RVUE ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit V}}{{\mathit V}}$
38
 1999 P
OPAL
39
 1999 M
L3
40
 1999 S
L3
$>1.412$ $\text{(>1.077)}$ 95 41
 1999
${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit e}^{+}}{{\mathit e}^{-}}$
1  SIRUNYAN 2017F use dijet angular distributions in 2.6 fb${}^{-1}$ of data from ${{\mathit p}}{{\mathit p}}$ collisions at $\sqrt {s }$ = 13 TeV to place a lower bound on ${{\mathit \Lambda}_{{T}}}$, here converted to ${{\mathit M}_{{TT}}}$.
2  GIUDICE 2003 place bounds on $\Lambda _{6}$, the coefficient of the gravitationally-induced dimension-6 operator (2$\pi \lambda /\Lambda {}^{2}_{6})(\sum{{\overline{\mathit f}}}\gamma _{\mu }\gamma {}^{5}\mathit f)(\sum{{\overline{\mathit f}}}\gamma {}^{\mu }\gamma {}^{5}\mathit f$), using data from a variety of experiments. Results are quoted for $\lambda =\pm1$ and are independent of $\delta$.
3  AABOUD 2017AP use 36.7 fb${}^{-1}$ of data from ${{\mathit p}}{{\mathit p}}$ collisions at $\sqrt {s }$ = 13 TeV to place lower limits on ${{\mathit M}_{{TT}}}$ (equivalent to their ${{\mathit M}_{{S}}}$).
4  KHACHATRYAN 2015AE use 20.6 (19.7) fb${}^{-1}$ of data from ${{\mathit p}}{{\mathit p}}$ collisions at $\sqrt {s }$ = 8 TeV in the dimuon (dielectron) channel to place a lower limit on ${{\mathit \Lambda}_{{T}}}$, here converted to ${{\mathit M}_{{TT}}}$.
5  KHACHATRYAN 2015J use dijet angular distributions in 19.7 fb${}^{-1}$ of data from ${{\mathit p}}{{\mathit p}}$ collisions at $\sqrt {s }$ = 8 TeV to place a lower bound on ${{\mathit \Lambda}_{{T}}}$, here converted to ${{\mathit M}_{{TT}}}$.
6  AAD 2014BE use 20 fb${}^{-1}$ of data from ${{\mathit p}}{{\mathit p}}$ collisions at $\sqrt {s }$ = 8 TeV in the dilepton channel to place lower limits on ${{\mathit M}_{{TT}}}$ (equivalent to their ${{\mathit M}_{{S}}}$).
7  AAD 2013AS use 4.9 fb${}^{-1}$ of data from ${{\mathit p}}{{\mathit p}}$ collisions at $\sqrt {s }$ = 7 TeV to place lower limits on ${{\mathit M}_{{TT}}}$ (equivalent to their ${{\mathit M}_{{S}}}$).
8  AAD 2013E use 4.9 and 5.0 fb${}^{-1}$ of data from ${{\mathit p}}{{\mathit p}}$ collisions at $\sqrt {s }$ = 7 TeV in the dielectron and dimuon channels, respectively, to place lower limits on ${{\mathit M}_{{TT}}}$ (equivalent to their ${{\mathit M}_{{S}}}$). The dielectron and dimuon channels are combined with previous results in the diphoton channel to set the best limit. Bounds on individual channels and different priors can be found in their Table VIII.
9  AAD 2012Y use 2.12 fb${}^{-1}$ of data from ${{\mathit p}}{{\mathit p}}$ collisions at $\sqrt {s }$ = 7 TeV to place lower limits on ${{\mathit M}_{{TT}}}$ (equivalent to their ${{\mathit M}_{{S}}}$).
10  BAAK 2012 use electroweak precision observables to place bounds on the ratio ${{\mathit \Lambda}_{{T}}}/{{\mathit M}_{{D}}}$ as a function of ${{\mathit M}_{{D}}}$. See their Fig. 22 for constraints with a Higgs mass of 120 GeV.
11  CHATRCHYAN 2012J use approximately 2 fb${}^{-1}$ of data from ${{\mathit p}}{{\mathit p}}$ collisions at $\sqrt {s }$ = 7 TeV in the dielectron and dimuon channels to place lower limits on ${{\mathit \Lambda}_{{T}}}$, here converted to ${{\mathit M}_{{TT}}}$.
12  CHATRCHYAN 2012R use 2.2 fb${}^{-1}$ of data from ${{\mathit p}}{{\mathit p}}$ collisions at $\sqrt {s }$ = 7 TeV to place lower limits on ${{\mathit M}_{{TT}}}$ (equivalent to their ${{\mathit M}_{{S}}}$).
13  AARON 2011C search for deviations in the differential cross section of ${{\mathit e}^{\pm}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit e}^{\pm}}{{\mathit X}}$ in 446 pb${}^{-1}$ of data taken at $\sqrt {s }$ = 301 and 319 GeV to place a bound on ${{\mathit M}_{{TT}}}$.
14  CHATRCHYAN 2011A use 36 pb${}^{-1}$ of data from ${{\mathit p}}{{\mathit p}}$ collisions at $\sqrt {s }$ = 7 TeV to place lower limits on ${{\mathit \Lambda}_{{T}}}$, here converted to ${{\mathit M}_{{TT}}}$.
15  ABAZOV 2009AE use dijet angular distributions in 0.7 fb${}^{-1}$ of data from ${{\mathit p}}{{\overline{\mathit p}}}$ collisions at $\sqrt {s }$ = 1.96 TeV to place lower bounds on $\Lambda _{T}$ (equivalent to their $\mathit M_{S}$), here converted to $\mathit M_{TT}$.
16  ABAZOV 2009D use 1.05 fb${}^{-1}$ of data from ${{\mathit p}}{{\overline{\mathit p}}}$ collisions at $\sqrt {s }$ = 1.96 TeV to place lower bounds on ${{\mathit \Lambda}_{{T}}}$ (equivalent to their ${{\mathit M}_{{s}}}$), here converted to ${{\mathit M}_{{TT}}}$.
17  SCHAEL 2007A use ${{\mathit e}^{+}}{{\mathit e}^{-}}$ collisions at $\sqrt {s }$ = $189 - 209$ GeV to place lower limits on ${{\mathit \Lambda}_{{T}}}$, here converted to limits on ${{\mathit M}_{{TT}}}$.
18  ABDALLAH 2006C use ${{\mathit e}^{+}}{{\mathit e}^{-}}$ collisions at $\sqrt {s }\sim{}130 - 207$ GeV to place lower limits on ${{\mathit M}_{{TT}}}$, which is equivalent to their definition of ${{\mathit M}_{{s}}}$. Bound shown includes all possible final state leptons, ${{\mathit \ell}}$ = ${{\mathit e}}$, ${{\mathit \mu}}$, ${{\mathit \tau}}$. Bounds on individual leptonic final states can be found in their Table 31.
19  GERDES 2006 use 100 to 110 pb${}^{-1}$ of data from ${{\mathit p}}{{\overline{\mathit p}}}$ collisions at $\sqrt {s }$ = 1.8 TeV, as recorded by the CDF Collaboration during Run I of the Tevatron. Bound shown includes a ${{\mathit K}}$-factor of 1.3. Bounds on individual ${{\mathit e}^{+}}{{\mathit e}^{-}}$ and ${{\mathit \gamma}}{{\mathit \gamma}}$ final states are found in their Table I.
20  ABAZOV 2005V use 246 pb${}^{-1}$ of data from ${{\mathit p}}{{\overline{\mathit p}}}$ collisions at $\sqrt {s }$ = 1.96 TeV to search for deviations in the differential cross section to ${{\mathit \mu}^{+}}{{\mathit \mu}^{-}}$ from graviton exchange.
21  CHEKANOV 2004B search for deviations in the differential cross section of ${{\mathit e}^{\pm}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit e}^{\pm}}{{\mathit X}}$ with 130~$\mathit pb{}^{-1}$ of combined data and ${{\mathit Q}^{2}}$ values up to 40,000~GeV${}^{2}$ to place a bound on ${{\mathit M}}_{TT}$.
22  ABBIENDI 2003D use ${{\mathit e}^{+}}{{\mathit e}^{-}}$ collisions at $\sqrt {\mathit s }=181 - 209$ GeV to place bounds on the ultraviolet scale $\mathit M_{\mathit TT}$, which is equivalent to their definition of $\mathit M_{\mathit s}$.
23  ACHARD 2003D look for deviations in the cross section for ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit Z}}{{\mathit Z}}$ from $\sqrt {\mathit s }$ = $200 - 209$ GeV to place a bound on $\mathit M_{\mathit TT}$.
24  ADLOFF 2003 search for deviations in the differential cross section of ${{\mathit e}^{\pm}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit e}^{\pm}}{{\mathit X}}$ at $\sqrt {\mathit s }$=301 and 319 GeV to place bounds on $\mathit M_{\mathit TT}$.
25  GIUDICE 2003 review existing experimental bounds on $\mathit M_{\mathit TT}$ and derive a combined limit.
26  HEISTER 2003C use ${{\mathit e}^{+}}{{\mathit e}^{-}}$ collisions at $\sqrt {\mathit s }$= $189 - 209$ GeV to place bounds on the scale of dim-8 gravitational interactions. Their $\mathit M{}^{\pm{}}_{\mathit s}$ is equivalent to our $\mathit M_{\mathit TT}$ with $\lambda =\pm1$.
27  ACHARD 2002 search for $\mathit s$-channel graviton exchange effects in ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \gamma}}$ at $\mathit E_{{\mathrm {cm}}}$ = $192 - 209$ GeV.
28  ABBOTT 2001 search for variations in differential cross sections to ${{\mathit e}^{+}}{{\mathit e}^{-}}$ and ${{\mathit \gamma}}{{\mathit \gamma}}$ final states at the Tevatron.
29  ABBIENDI 2000R uses ${{\mathit e}^{+}}{{\mathit e}^{-}}$ collisions at $\sqrt {\mathit s }$= 189 GeV.
30  ABREU 2000A search for $\mathit s$-channel graviton exchange effects in ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \gamma}}$ at $\mathit E_{{\mathrm {cm}}}$= $189 - 202$ GeV.
31  ABREU 2000S uses ${{\mathit e}^{+}}{{\mathit e}^{-}}$ collisions at $\sqrt {\mathit s }$=183 and 189 GeV. Bounds on ${{\mathit \mu}}$ and ${{\mathit \tau}}$ individual final states given in paper.
32  CHANG 2000B derive 3$\sigma$ limit on $\mathit M_{\mathit TT}$ of (28,19,15) TeV for $\delta$=(2,4,6) respectively assuming the presence of a torsional coupling in the gravitational action. Highly model dependent.
33  CHEUNG 2000 obtains limits from anomalous diphoton production at OPAL due to graviton exchange. Original limit for $\delta$=4. However, unknown $\mathit UV$ theory renders $\delta ~$dependence unreliable. Original paper works in HLZ convention.
34  GRAESSER 2000 obtains a bound from graviton contributions to $\mathit g–$2 of the muon through loops of 0.29 TeV for $\delta$=2 and 0.38 TeV for $\delta$=4,6. Limits scale as $\lambda {}^{1/2}$. However calculational scheme not well-defined without specification of high-scale theory. See the Extra Dimensions Review.''
35  HAN 2000 calculates corrections to gauge boson self-energies from KK graviton loops and constrain them using $\mathit S$ and $\mathit T$. Bounds on $\mathit M_{\mathit TT}$ range from 0.5 TeV ($\delta$=6) to 1.1 TeV ($\delta$=2); see text. Limits have strong dependence, $\lambda {}^{\delta +2}$, on unknown $\lambda$ coefficient.
36  MATHEWS 2000 search for evidence of graviton exchange in CDF and ${D0}$ dijet production data. See their Table$~$2 for slightly stronger $\delta$-dependent bounds. Limits expressed in terms of ${{\widetilde{\mathit M}}}{}^{4}_{\mathit S}$ = $\mathit M{}^{4}_{\mathit TT}$/8.
37  MELE 2000 obtains bound from KK graviton contributions to ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit V}}{{\mathit V}}$ (${{\mathit V}}={{\mathit \gamma}},{{\mathit W}},{{\mathit Z}}$) at LEP. Authors use Hewett conventions.
38  ABBIENDI 1999P search for $\mathit s$-channel graviton exchange effects in ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \gamma}}$ at $\mathit E_{{\mathrm {cm}}}$=189 GeV. The limits $\mathit G_{+}>660$ GeV and $\mathit G_{−}>634$ GeV are obtained from combined $\mathit E_{{\mathrm {cm}}}$=183 and 189 GeV data, where $\mathit G_{\pm{}}$ is a scale related to the fundamental gravity scale.
39  ACCIARRI 1999M search for the reaction ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit G}}$ and $\mathit s$-channel graviton exchange effects in ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \gamma}}$ , ${{\mathit W}^{+}}{{\mathit W}^{-}}$ , ${{\mathit Z}}{{\mathit Z}}$ , ${{\mathit e}^{+}}{{\mathit e}^{-}}$ , ${{\mathit \mu}^{+}}{{\mathit \mu}^{-}}$ , ${{\mathit \tau}^{+}}{{\mathit \tau}^{-}}$ , ${{\mathit q}}{{\overline{\mathit q}}}$ at $\mathit E_{{\mathrm {cm}}}$=183 GeV. Limits on the gravity scale are listed in their Tables$~$1 and 2.
40  search for the reaction ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit Z}}{{\mathit G}}$ and $\mathit s$-channel graviton exchange effects in ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \gamma}}$ , ${{\mathit W}^{+}}{{\mathit W}^{-}}$ , ${{\mathit Z}}{{\mathit Z}}$ , ${{\mathit e}^{+}}{{\mathit e}^{-}}$ , ${{\mathit \mu}^{+}}{{\mathit \mu}^{-}}$ , ${{\mathit \tau}^{+}}{{\mathit \tau}^{-}}$ , ${{\mathit q}}{{\overline{\mathit q}}}$ at $\mathit E_{{\mathrm {cm}}}$=189 GeV. Limits on the gravity scale are listed in their Tables$~$1 and 2.
41  BOURILKOV 1999 performs global analysis of LEP data on ${{\mathit e}^{+}}{{\mathit e}^{-}}$ collisions at $\sqrt {\mathit s }$=183 and 189 GeV. Bound is on $\Lambda _{\mathit T}$.
References:
 AABOUD 2017AP
PL B775 105 Search for New Phenomena in High-Mass Diphoton Final States using 37 ${\mathrm {fb}}{}^{-1}$ of Proton-Proton Collisions Collected at $\sqrt {s }$ = 13 TeV with the ATLAS Detector
 SIRUNYAN 2017F
JHEP 1707 013 Search for New Physics with Dijet Angular Distributions in Proton-Proton Collisions at $\sqrt {s }$ = 13 TeV
 KHACHATRYAN 2015AE
JHEP 1504 025 Search for Physics Beyond the Standard Model in Dilepton Mass Spectra in Proton-Proton Collisions at $\sqrt {s }$ = 8 TeV
 KHACHATRYAN 2015J
PL B746 79 Search for Quark Contact Interactions and Extra Spatial Dimensions using Dijet Angular Distributions in Proton-Proton Collisions at $\sqrt {s }$ = 8 TeV
EPJ C74 3134 Search for Contact Interactions and Large Extra Dimensions in the Dilepton Channel using Proton-Proton Collisions at $\sqrt {s }$ = 8 TeV with the ATLAS Detector
NJP 15 043007 Search for Extra Dimensions in Diphoton Events Using Proton$−$Proton Collisions Recorded at $\sqrt {s }$ = 7 TeV with the ATLAS Detector at the LHC
PR D87 015010 Search for Contact Interactions and Large Extra Dimensions in Dilepton Events from ${{\mathit p}}{{\mathit p}}$ Collisions at $\sqrt {s }$ = 7 TeV with the ATLAS Detector
PL B710 538 Search for Extra Dimensions using Diphoton Events in 7 TeV Proton$−$Proton Collisions with the ATLAS Detector
 BAAK 2012
EPJ C72 2003 Updated Status of the Global Electroweak Fit and Constraints on New Physics
 CHATRCHYAN 2012R
PRL 108 111801 Search for Signatures of Extra Dimensions in the Diphoton Mass Spectrum at the Large Hadron Collider
 CHATRCHYAN 2012J
PL B711 15 Search for Large Extra Dimensions in Dimuon and Dielectron Events in ${{\mathit p}}{{\mathit p}}$ Collisions at $\sqrt {s }$ = 7 TeV
 AARON 2011C
PL B705 52 Search for Contact Interactions in ${{\mathit e}^{\pm}}{{\mathit p}}$ Collisions at HERA
 CHATRCHYAN 2011A
JHEP 1105 085 Search for Large Extra Dimensions in the Diphoton Final State at the Large Hadron Collider
 ABAZOV 2009AE
PRL 103 191803 Measurement of Dijet Angular Distributions at $\sqrt {s }$=1.96 TeV and Searches for Quark Compositeness and Extra Spatial Dimensions
 ABAZOV 2009D
PRL 102 051601 Search for Large Extra Spatial Dimensions in the Dielectron and Diphoton Channels in ${{\mathit p}}{{\overline{\mathit p}}}$ Collisions at $\sqrt {s }$ = 1.96 TeV
 SCHAEL 2007A
EPJ C49 411 Fermion Pair Production in ${{\mathit e}^{+}}{{\mathit e}^{-}}$ Collisions at $189 - 209$ GeV and Constraints on Physics Beyond the Standard Model
 ABDALLAH 2006C
EPJ C45 589 Measurement and Interpretation of Fermion-Pair Production at LEP Energies above the ${{\mathit Z}}$ Resonance
 GERDES 2006
PR D73 112008 Search for Large Extra Dimensions using Dielectron and Diphoton Events in ${{\mathit p}}{{\overline{\mathit p}}}$ Collisions at $\sqrt {s }$ = 1.8 TeV
 ABAZOV 2005V
PRL 95 161602 Search for Large Extra Spatial Dimensions in Dimuon Production with the ${D0}$ Detector
 CHEKANOV 2004B
PL B591 23 Search for Contact Interactions, Large Extra Dimensions and Finite Quark Radius in ${{\mathit e}}{{\mathit p}}$ Collisions at HERA
 ABBIENDI 2003D
EPJ C26 331 Multiphoton Production in ${{\mathit e}^{+}}{{\mathit e}^{-}}$ Collisions at $\sqrt {s }$ = 181 to 209 GeV
 ACHARD 2003D
PL B572 133 ${{\mathit Z}}$ Boson Pair Production at LEP
PL B568 35 Search for New Physics in ${{\mathit e}^{\pm}}{{\mathit q}}$ Contact Interactions at HERA
 GIUDICE 2003
NP B663 377 Constraints on Extra Dimensional Theories from Virtual Graviton Exchange
 HEISTER 2003C
EPJ C28 1 Single Photon and Multiphoton Production in ${{\mathit e}^{+}}{{\mathit e}^{-}}$ Collisions at $\sqrt {s }$ up to 209 GeV
 ACHARD 2002D
PL B531 28 Study of Multiphoton Final States and Tests of QED in ${{\mathit e}^{+}}{{\mathit e}^{-}}$ Collisions at $\sqrt {s }$ up to 209 GeV
 ABBOTT 2001
PRL 86 1156 Search for Large Extra Dimensions in Dielectron and Diphoton Production
 ABBIENDI 2000R
EPJ C13 553 Tests of the Standard Model and Constraints on New Physics from Measurements of Fermion Pair Production at 189 GeV at LEP
 ABREU 2000A
PL B491 67 Determination of the ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \gamma}}$( ${{\mathit \gamma}}$) Cross Section at $\mathit E_{{\mathrm {cm}}}$ Ranging from 189 to 202 GeV
 ABREU 2000S
PL B485 45 Measurement and Interpretation of Fermion-Pair Production at LEP Energies of 183 and 189 GeV
 CHANG 2000B
PRL 85 3765 Universal Torsion Induced Interaction from Large Extra Dimensions
 CHEUNG 2000
PR D61 015005 Diphoton Signals for Low Scale Gravity in Extra Dimensions
 GRAESSER 2000
PR D61 074019 Extra Dimensions and the Muon Anomalous Magnetic Moment
 HAN 2000
PR D62 125018 Oblique Parameter Constraints on Large Extra Dimensions
 MATHEWS 2000
JHEP 0007 008 Testing TeV Scale Quantum Gravity using Dijet Production at the Tevatron
 MELE 2000
PR D61 117901 Study of Extra Space Dimensions in Vector Boson Pair Production at LEP
 ABBIENDI 1999P
PL B465 303 Multiphoton Production in ${{\mathit e}^{+}}{{\mathit e}^{-}}$ Collisions at $\sqrt {s }$ = 189 GeV
 ACCIARRI 1999M
PL B464 135 Search for Low Scale Gravity Effects in ${{\mathit e}^{+}}{{\mathit e}^{-}}$ Collisions at LEP
 ACCIARRI 1999S
PL B470 281 Search for Extra Dimensions in Boson and Fermion Pair Production in ${{\mathit e}^{+}}{{\mathit e}^{-}}$ Interactions at LEP
 BOURILKOV 1999
JHEP 9908 006 Global Analysis of Bhabha Scattering at LEP-2 and Limits on Low Scale Gravity Models