The ${{\mathit W}}$ -mass listed here corresponds to the mass parameter in a Breit-Wigner distribution with mass-dependent width. To obtain the world average, common systematic uncertainties between experiments are properly taken into account. The LEP-2 average ${{\mathit W}}$ mass based on published results from ALEPH, DELPHI, L3, and OPAL is $80.376$ $\pm0.033$ GeV [SCHAEL 2013A]. The combined Tevatron data from CDF and D0 yields an average ${{\mathit W}}$ mass of $80.387$ $\pm16$ GeV [AALTONEN 2013N]. Assuming a common systematic error of 9 MeV due to PDF uncertainty, the combined LHC data from ATLAS [AABOUD 2018J] and LHCb [AAIJ 2022C] yields an average ${{\mathit W}}$ mass of $80.366$ $\pm0.017$ GeV [J. Erler and A. Freitas, " Electroweak Model and Constraints on New Physics" review, PDG 2022 ]. Assuming 7 MeV as the common systematic uncertainty between the LHC and Tevatron results, the average ${{\mathit W}}$ mass from the two hadron colliders is estimated to be $80.377$ $\pm0.013$ GeV. Combining this result with the LEP-2 value assuming no correlations, the world average ${{\mathit W}}$ mass of $80.377$ $\pm0.012$ GeV is obtained [Ibid]; OUR FIT quotes this value for the ${{\mathit W}}$ mass.

In April 2022, after the cut-off of results for this review, the CDF collaboration published a determination of the ${{\mathit W}}$ mass based on their full Run-2 dataset of 8.8 ${\mathrm {fb}}{}^{-1}$ [AALTONEN 2022 ], with much reduced uncertainty: $80433.5$ $\pm9.4$ MeV. This new CDF result, which includes the data of their previous result [AALTONEN 2012E] and thus supersedes it, is of higher precision than our world average quoted above. However, the two determinations disagree significantly. More information is given in M. Grunewald and A. Gurtu, "Mass and Width of the ${{\mathit W}}$ Boson" review [PDG 2022 ].

VALUE (GeV) EVTS DOCUMENT ID TECN  COMMENT $\bf{ 80.377 \pm0.012}$ OUR FIT $80.354$ $\pm0.023$ $\pm0.022$ 2.4M 1 AAIJ 2022 C LHCB ${\it{}E}^{\it{}pp}_{\rm{}cm}$ = 13 TeV $80.370$ $\pm0.007$ $\pm0.017$ 13.7M 2 AABOUD 2018 J ATLS ${\it{}E}^{\it{}pp}_{\rm{}cm}$ = 7 TeV $80.387$ $\pm0.012$ $\pm0.015$ 1095k 3 AALTONEN 2012 E CDF ${\it{}E}^{\it{}p\overline{\it{}p}}_{\rm{}cm}$ = 1.96 TeV $80.375$ $\pm0.011$ $\pm0.020$ 2177k 4 ABAZOV 2012 F D0 ${\it{}E}^{\it{}p\overline{\it{}p}}_{\rm{}cm}$ = 1.96 TeV $80.336$ $\pm0.055$ $\pm0.039$ 10.3k 5 ABDALLAH 2008 A DLPH ${\it{}E}^{\it{}ee}_{\rm{}cm}$ = $161 - 209$ GeV $80.415$ $\pm0.042$ $\pm0.031$ 11830 6 ABBIENDI 2006 OPAL ${\it{}E}^{\it{}ee}_{\rm{}cm}$= $170 - 209$ GeV $80.270$ $\pm0.046$ $\pm0.031$ 9909 7 ACHARD 2006 L3 ${\it{}E}^{\it{}ee}_{\rm{}cm}$= $161 - 209$ GeV $80.440$ $\pm0.043$ $\pm0.027$ 8692 8 SCHAEL 2006 ALEP ${\it{}E}^{\it{}ee}_{\rm{}cm}$= $161 - 209$ GeV $80.483$ $\pm0.084$ 49247 9 ABAZOV 2002 D D0 ${\it{}E}^{\it{}p\overline{\it{}p}}_{\rm{}cm}$= $1.8$ TeV $80.433$ $\pm0.079$ 53841 10 AFFOLDER 2001 E CDF ${\it{}E}^{\it{}p\overline{\it{}p}}_{\rm{}cm}$= 1.8 TeV • • We do not use the following data for averages, fits, limits, etc. • • $80.520$ $\pm0.070$ $\pm0.092$ 11 ANDREEV 2018 A H1 ${{\mathit e}^{\pm}}{{\mathit p}}$ $80.367$ $\pm0.013$ $\pm0.022$ 1677k 12 ABAZOV 2012 F D0 ${\it{}E}^{\it{}p\overline{\it{}p}}_{\rm{}cm}$ = 1.96 TeV $80.401$ $\pm0.021$ $\pm0.038$ 500k 13 ABAZOV 2009 AB D0 ${\it{}E}^{\it{}p\overline{\it{}p}}_{\rm{}cm}$ = 1.96 TeV $80.413$ $\pm0.034$ $\pm0.034$ 115k 14 AALTONEN 2007 F CDF ${\it{}E}^{\it{}p\overline{\it{}p}}_{\rm{}cm}$ = 1.96 TeV $82.87$ $\pm1.82$ ${}^{+0.30}_{-0.16}$ 1500 15 AKTAS 2006 H1 ${{\mathit e}^{\pm}}$ ${{\mathit p}}$ $\rightarrow$ ${{\overline{\mathit \nu}}_{{e}}}$ (${{\mathit \nu}_{{e}}}$ )${{\mathit X}}$ , $\sqrt {s }\approx{}$300 GeV $80.3 \pm2.1 \pm1.2 \pm1.0$ 645 16 CHEKANOV 2002 C ZEUS ${{\mathit e}^{-}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit \nu}_{{e}}}$ X, $\sqrt {\mathit s }$= 318 GeV $81.4 {}^{+2.7}_{-2.6} \pm2.0 {}^{+3.3}_{-3.0}$ 1086 17 BREITWEG 2000 D ZEUS ${{\mathit e}^{+}}$ ${{\mathit p}}$ $\rightarrow$ ${{\overline{\mathit \nu}}_{{e}}}$ X, $\sqrt {\mathit s }\approx{}$ 300 GeV $80.84$ $\pm0.22$ $\pm0.83$ 2065 18 ALITTI 1992 B UA2 See ${{\mathit W}}$ /${{\mathit Z}}$ ratio below $80.79$ $\pm0.31$ $\pm0.84$ 19 ALITTI 1990 B UA2 ${\it{}E}^{\it{}p\overline{\it{}p}}_{\rm{}cm}$= 546,630 GeV $80.0$ $\pm3.3$ $\pm2.4$ 22 20 ABE 1989 I CDF ${\it{}E}^{\it{}p\overline{\it{}p}}_{\rm{}cm}$= $1.8$ TeV $82.7$ $\pm1.0$ $\pm2.7$ 149 21 ALBAJAR 1989 UA1 ${\it{}E}^{\it{}p\overline{\it{}p}}_{\rm{}cm}$= 546,630 GeV $81.8$ ${}^{+6.0}_{-5.3}$ $\pm2.6$ 46 22 ALBAJAR 1989 UA1 ${\it{}E}^{\it{}p\overline{\it{}p}}_{\rm{}cm}$= 546,630 GeV $89$ $\pm3$ $\pm6$ 32 23 ALBAJAR 1989 UA1 ${\it{}E}^{\it{}p\overline{\it{}p}}_{\rm{}cm}$= 546,630 GeV $81.$ $\pm5.$ 6 ARNISON 1983 UA1 ${\it{}E}^{\it{}ee}_{\rm{}cm}$= $546$ GeV $80$ ${}^{+10}_{-6}$ 4 BANNER 1983 B UA2 Repl. by ALITTI 1990B 1  AAIJ 2022C analyse ${{\mathit W}}$ production in the muon decay channel, with the transverse momentum of the muon required to be between 28 and 52 GeV. Analysing the distribution of the muon charge divided by the muon transverse momentum of approximately 2.4 million selected ${{\mathit W}}$ candidates, a value of ${{\mathit M}_{{W}}}$ = $80354$ $\pm23$(stat.)$\pm10$(exp.)$\pm17$(theo.)$\pm9$(PDF) MeV is obtained; we combine the three systematic uncertainties in quadrature. 2  AABOUD 2018J select 4.61M ${{\mathit W}^{+}}$ $\rightarrow$ ${{\mathit \mu}^{+}}{{\mathit \nu}_{{\mu}}}$ , 3.40M ${{\mathit W}^{+}}$ $\rightarrow$ ${{\mathit e}^{+}}{{\mathit \nu}_{{e}}}$ , 3.23M ${{\mathit W}^{-}}$ $\rightarrow$ ${{\mathit \mu}^{-}}{{\overline{\mathit \nu}}_{{\mu}}}$ and 2.49M ${{\mathit W}^{-}}$ $\rightarrow$ ${{\mathit e}^{-}}{{\overline{\mathit \nu}}_{{e}}}$ events in 4.6 fb${}^{-1}$ ${{\mathit p}}{{\mathit p}}$ data at 7 TeV. The ${{\mathit W}}$ mass is determined using the transverse mass and transverse lepton momentum distributions, accounting for correlations. The systematic error includes 0.011 GeV experimental and 0.014 GeV modelling uncertainties. 3  AALTONEN 2012E select 470k ${{\mathit W}}$ ${{\mathit \nu}}$ decays and 625k ${{\mathit W}}$ $\rightarrow$ ${{\mathit \mu}}{{\mathit \nu}}$ decays in 2.2 fb${}^{-1}$ of Run-II data. The mass is determined using the transverse mass, transverse lepton momentum and transverse missing energy distributions, accounting for correlations. This result supersedes AALTONEN 2007F. AALTONEN 2014D gives more details on the procedures followed by the authors. 4  Combination of results from ABAZOV 2012F and ABAZOV 2009AB as quoted in ABAZOV 2012F. 5  ABDALLAH 2008A use direct reconstruction of the kinematics of ${{\mathit W}^{+}}$ ${{\mathit W}^{-}}$ $\rightarrow$ ${{\mathit q}}{{\overline{\mathit q}}}{{\mathit \ell}}{{\mathit \nu}}$ and ${{\mathit W}^{+}}$ ${{\mathit W}^{-}}$ $\rightarrow$ ${{\mathit q}}{{\overline{\mathit q}}}{{\mathit q}}{{\overline{\mathit q}}}$ events for energies 172 GeV and above. The ${{\mathit W}}$ mass was also extracted from the dependence of the ${{\mathit W}}{{\mathit W}}$ cross section close to the production threshold and combined appropriately to obtain the final result. The systematic error includes $\pm0.025$ GeV due to final state interactions and $\pm0.009$ GeV due to LEP energy uncertainty. 6  ABBIENDI 2006 use direct reconstruction of the kinematics of ${{\mathit W}^{+}}$ ${{\mathit W}^{-}}$ $\rightarrow$ ${{\mathit q}}{{\overline{\mathit q}}}{{\mathit \ell}}{{\mathit \nu}_{{{{\mathit \ell}}}}}$ and ${{\mathit W}^{+}}$ ${{\mathit W}^{-}}$ $\rightarrow$ ${{\mathit q}}{{\overline{\mathit q}}}{{\mathit q}}{{\overline{\mathit q}}}$ events. The result quoted here is obtained combining this mass value with the results using ${{\mathit W}^{+}}$ ${{\mathit W}^{-}}$ $\rightarrow$ ${{\mathit \ell}}{{\mathit \nu}_{{{{\mathit \ell}}}}}{{\mathit \ell}^{\,'}}{{\mathit \nu}}$ $_{{{\mathit \ell}^{\,'}} }$ events in the energy range $183 - 207$ GeV (ABBIENDI 2003C) and the dependence of the $WW$ production cross-section on ${\mathit m}_{{{\mathit W}}}$ at threshold. The systematic error includes $\pm0.009$ GeV due to the uncertainty on the LEP beam energy. 7  ACHARD 2006 use direct reconstruction of the kinematics of ${{\mathit W}^{+}}$ ${{\mathit W}^{-}}$ $\rightarrow$ ${{\mathit q}}{{\overline{\mathit q}}}{{\mathit \ell}}{{\mathit \nu}_{{{{\mathit \ell}}}}}$ and ${{\mathit W}^{+}}$ ${{\mathit W}^{-}}$ $\rightarrow$ ${{\mathit q}}{{\overline{\mathit q}}}{{\mathit q}}{{\overline{\mathit q}}}$ events in the C.M. energy range $189 - 209$ GeV. The result quoted here is obtained combining this mass value with the results obtained from a direct ${{\mathit W}}$ mass reconstruction at 172 and 183 GeV and with those from the dependence of the ${{\mathit W}}{{\mathit W}}$ production cross-section on ${\mathit m}_{{{\mathit W}}}$ at 161 and 172 GeV (ACCIARRI 1999 ). 8  SCHAEL 2006 use direct reconstruction of the kinematics of ${{\mathit W}^{+}}$ ${{\mathit W}^{-}}$ $\rightarrow$ ${{\mathit q}}{{\overline{\mathit q}}}{{\mathit \ell}}{{\mathit \nu}_{{{{\mathit \ell}}}}}$ and ${{\mathit W}^{+}}$ ${{\mathit W}^{-}}$ $\rightarrow$ ${{\mathit q}}{{\overline{\mathit q}}}{{\mathit q}}{{\overline{\mathit q}}}$ events in the C.M. energy range $183 - 209$ GeV. The result quoted here is obtained combining this mass value with those obtained from the dependence of the ${{\mathit W}}$ pair production cross-section on ${\mathit m}_{{{\mathit W}}}$ at 161 and 172 GeV (BARATE 1997 and BARATE 1997S respectively). The systematic error includes $\pm0.009$ GeV due to possible effects of final state interactions in the ${{\mathit q}}{{\overline{\mathit q}}}{{\mathit q}}{{\overline{\mathit q}}}$ channel and $\pm0.009$ GeV due to the uncertainty on the LEP beam energy. 9  ABAZOV 2002D improve the measurement of the ${{\mathit W}}$ -boson mass including ${{\mathit W}}$ $\rightarrow$ ${{\mathit e}}{{\mathit \nu}_{{e}}}$ events in which the electron is close to a boundary of a central electromagnetic calorimeter module. Properly combining the results obtained by fitting $\mathit m_{\mathit T}({{\mathit W}}$ ), $\mathit p_{\mathit T}({{\mathit e}}$ ), and $\mathit p_{\mathit T}({{\mathit \nu}}$ ), this sample provides a mass value of $80.574$ $\pm0.405$ GeV. The value reported here is a combination of this measurement with all previous ${D0}{{\mathit W}}$ -boson mass measurements. 10  AFFOLDER 2001E fit the transverse mass spectrum of 30115 ${{\mathit W}}$ $\rightarrow$ ${{\mathit e}}{{\mathit \nu}_{{e}}}$ events ($\mathit M_{{{\mathit W}} }$= $80.473$ $\pm0.065$ $\pm0.092$ GeV) and of 14740 ${{\mathit W}}$ $\rightarrow$ ${{\mathit \mu}}{{\mathit \nu}_{{\mu}}}$ events ($\mathit M_{{{\mathit W}} }$= $80.465$ $\pm0.100$ $\pm0.103$ GeV) obtained in the run IB (1994-95). Combining the electron and muon results, accounting for correlated uncertainties, yields $\mathit M_{{{\mathit W}} }$= $80.470$ $\pm0.089$ GeV. They combine this value with their measurement of ABE 1995P reported in run IA (1992-93) to obtain the quoted value. 11  ANDREEV 2018A obtain this result in a combined electroweak and QCD analysis using all deep-inelastic ${{\mathit e}^{+}}{{\mathit p}}$ and ${{\mathit e}^{-}}{{\mathit p}}$ neutral current and charged current scattering cross sections published by the H1 Collaboration, including data with longitudinally polarized lepton beams. 12  ABAZOV 2012F select 1677k ${{\mathit W}}$ $\rightarrow$ ${{\mathit e}}{{\mathit \nu}}$ decays in 4.3 fb${}^{-1}$ of Run-II data. The mass is determined using the transverse mass and transverse lepton momentum distributions, accounting for correlations. 13  ABAZOV 2009AB study the transverse mass, transverse electron momentum, and transverse missing energy in a sample of 0.5 million ${{\mathit W}}$ $\rightarrow$ ${{\mathit e}}{{\mathit \nu}}$ decays selected in Run-II data. The quoted result combines all three methods, accounting for correlations. 14  AALTONEN 2007F obtain high purity ${{\mathit W}}$ $\rightarrow$ ${{\mathit e}}{{\mathit \nu}_{{e}}}$ and ${{\mathit W}}$ $\rightarrow$ ${{\mathit \mu}}{{\mathit \nu}_{{\mu}}}$ candidate samples totaling 63,964 and 51,128 events respectively. The ${{\mathit W}}$ mass value quoted above is derived by simultaneously fitting the transverse mass and the lepton, and neutrino p$_{T}$ distributions. 15  AKTAS 2006 fit the Q${}^{2}$ dependence (300 $<$ Q${}^{2}$ $<$ 30,000 GeV${}^{2}$) of the charged-current differential cross section with a propagator mass. The first error is experimental and the second corresponds to uncertainties due to input parameters and model assumptions. 16  CHEKANOV 2002C fit the $\mathit Q{}^{2}$ dependence (200$<\mathit Q{}^{2}<$60000 GeV${}^{2}$) of the charged-current differential cross sections with a propagator mass fit. The last error is due to the uncertainty on the probability density functions. 17  BREITWEG 2000D fit the $\mathit Q{}^{2}$ dependence (200 $<$ Q${}^{2}<$ 22500 GeV${}^{2}$) of the charged-current differential cross sections with a propagator mass fit. The last error is due to the uncertainty on the probability density functions. 18  ALITTI 1992B result has two contributions to the systematic error ($\pm0.83$); one ($\pm0.81$) cancels in ${\mathit m}_{{{\mathit W}}}/{\mathit m}_{{{\mathit Z}}}$ and one ($\pm0.17$) is noncancelling. These were added in quadrature. We choose the ALITTI 1992B value without using the LEP ${\mathit m}_{{{\mathit Z}}}$ value, because we perform our own combined fit. 19  There are two contributions to the systematic error ($\pm0.84$): one ($\pm0.81$) which cancels in ${\mathit m}_{{{\mathit W}}}/{\mathit m}_{{{\mathit Z}}}$ and one ($\pm0.21$) which is non-cancelling. These were added in quadrature. 20  ABE 1989I systematic error dominated by the uncertainty in the absolute energy scale. 21  ALBAJAR 1989 result is from a total sample of 299 ${{\mathit W}}$ $\rightarrow$ ${{\mathit e}}{{\mathit \nu}}$ events. 22  ALBAJAR 1989 result is from a total sample of 67 ${{\mathit W}}$ $\rightarrow$ ${{\mathit \mu}}{{\mathit \nu}}$ events. 23  ALBAJAR 1989 result is from ${{\mathit W}}$ $\rightarrow$ ${{\mathit \tau}}{{\mathit \nu}}$ events.

References:

AAIJ 2022C JHEP 2201 036 AABOUD 2018J EPJ C78 110 Measurement of the ${{\mathit W}}$ -boson Mass in ${{\mathit p}}{{\mathit p}}$ Collisions at $\sqrt {s }$ = 7 TeV with the ATLAS Detector Also EPJ C78 898 (errat.) Measurement of the $W$-boson mass in pp collisions at $\sqrt{s}=7$ TeV with the ATLAS detector ANDREEV 2018A EPJ C78 777 Determination of electroweak parameters in polarised deep-inelastic scattering at HERA AALTONEN 2012E PRL 108 151803 Precise Measurement of the ${{\mathit W}}$ -Boson Mass with the CDF II Detector ABAZOV 2012F PRL 108 151804 Measurement of the W Boson Mass with the ${D0}$ Detector Also PR D89 012005 Measurement of the ${{\mathit W}}$ Boson Mass with the ${D0}$ Detector ABAZOV 2009AB PRL 103 141801 Measurement of the ${{\mathit W}}$ Boson Mass ABDALLAH 2008A EPJ C55 1 Measurement of the Mass and Width of the ${{\mathit W}}$ Boson in ${{\mathit e}^{+}}{{\mathit e}^{-}}$ Collisions at $\sqrt {s }$ = $161 - 209$ GeV AALTONEN 2007F PRL 99 151801 First Measurement of the $\mathit W$-Boson Mass in Run II of the Tevatron Also PR D77 112001 First Run II Measurement of the ${{\mathit W}}$ Boson Mass ABBIENDI 2006 EPJ C45 307 Measurement of the Mass and Width of the ${{\mathit W}}$ Boson ACHARD 2006 EPJ C45 569 Measurement of the Mass and the Width of the ${{\mathit W}}$ Boson at LEP AKTAS 2006 PL B632 35 A Determination of Electroweak Parameters at HERA SCHAEL 2006 EPJ C47 309 Measurement of the ${{\mathit W}}$ Boson Mass and Width in ${{\mathit e}^{+}}{{\mathit e}^{-}}$ Collisions at LEP ABAZOV 2002D PR D66 012001 Improved ${{\mathit W}}$ Boson Mass Measurement with the ${D0}$ Detector CHEKANOV 2002C PL B539 197 Measurement of High Q${}^{2}$ Charged Current Cross Sections in ${{\mathit e}^{-}}{{\mathit p}}$ Deep Inelastic Scattering at HERA AFFOLDER 2001E PR D64 052001 Measurement of the ${{\mathit W}}$ Boson Mass with the Collider Detector at Fermilab BREITWEG 2000D EPJ C12 411 Measurement of High Q${}^{2}$ Charged Current ${{\mathit e}^{+}}$ ${{\mathit p}}$ Deep Inelastic Scattering Cross Sections at HERA ALITTI 1992B PL B276 354 An Improved Determination of the Ratio of ${{\mathit W}}$ and ${{\mathit Z}}$ Masses at the CERN ${{\overline{\mathit p}}}{{\mathit p}}$ Collider ALITTI 1990B PL B241 150 A Precise Determination of the ${{\mathit W}}$ and ${{\mathit Z}}$ Masses at the CERN ${{\overline{\mathit p}}}{{\mathit p}}$ Collider ABE 1989I PRL 62 1005 Measurement of ${{\mathit W}}$ Boson Production in 1.8 TeV ${{\overline{\mathit p}}}$ ${{\mathit p}}$ Collisions ALBAJAR 1989 ZPHY C44 15 Studies of Intermediate Vector Boson Production and Decay in UA1 at the CERN Proton-Antiproton Collider ARNISON 1983 PL 122B 103 Experimental Observation of Isolated Large Transverse Energy Electrons with Associated Missing Energy at $\sqrt {s }$ = 540 GeV BANNER 1983B PL 122B 476 Observation of Single Isolated Electrons of High Transverse Momentum in Events with Missing Transverse Energy at the CERN ${{\overline{\mathit p}}}{{\mathit p}}$ Collider