sin$^2(\theta _{{\mathrm {eff}}})$ INSPIRE search

The leptonic effective electroweak mixing angle, sin$^2\theta {}^{{\mathrm {lept}}}_{{\mathrm {eff}}}$, is given in terms of the ratio of leptonic vector and axial-vector coupling constants, ${{\mathit r}}$ =  ${{\mathit g}}{}^{V}_{{{\mathit \ell}}}/{{\mathit g}}{}^{A}_{{{\mathit \ell}}}$ for ${{\mathit \ell}}$ = ${{\mathit e}}$ , ${{\mathit \mu}}$ , ${{\mathit \tau}}$, with sin$^2\theta {}^{{\mathrm {lept}}}_{{\mathrm {eff}}}$ = (1$−{{\mathit r}}$)/4. It can be extracted directly from the leptonic asymmetry parameter, ${{\mathit A}_{{{{{\mathit \ell}}}}}}$ = 2${{\mathit r}}/(1+{{\mathit r}^{2}}$). See note "The  ${{\mathit Z}}$ boson" and ref. LEP-SLC 2006.
S044SEF
VALUE DOCUMENT ID TECN  COMMENT
$\bf{ 0.23148 \pm0.00012}$ OUR AVERAGE
$0.23152$ $\pm0.00031$ 1
HAYRAPETYAN
2025AF
 CMS ${\it{}E}^{\it{}pp}_{\rm{}cm}$ = 13 TeV
$0.23147$ $\pm0.00050$ 2
AAIJ
2024AL
 LHCB ${\it{}E}^{\it{}pp}_{\rm{}cm}$ = 13 TeV
$0.2319$ $\pm0.0019$ 3
HAYRAPETYAN
2024T
 CMS ${\it{}E}^{\it{}pp}_{\rm{}cm}$ = 13 TeV
$0.23148$ $\pm0.00033$ 4
AALTONEN
2018B
 TEVA ${\it{}E}^{\it{}p\overline{\it{}p}}_{\rm{}cm}$ = 1.96 TeV
$0.23101$ $\pm0.00053$ 5
SIRUNYAN
2018CY
 CMS ${\it{}E}^{\it{}pp}_{\rm{}cm}$ = 8 TeV
$0.2308$ $\pm0.0012$ 6
AAD
2015BT
 ATLS ${\it{}E}^{\it{}pp}_{\rm{}cm}$ = 7 TeV
$0.2314$ $\pm0.0011$ 7
AAIJ
2015BF
 LHCB ${\it{}E}^{\it{}pp}_{\rm{}cm}$ = 7+8 TeV
$0.23153$ $\pm0.00016$ 8
LEP-SLC
2006
${\it{}E}^{\it{}ee}_{\rm{}cm}$ = $88 - 94$ GeV
• • • We do not use the following data for averages, fits, limits, etc. • • •
$0.23016$ $\pm0.00064$ 9
ABAZOV
2018
D0 ${\it{}E}^{\it{}p\overline{\it{}p}}_{\rm{}cm}$ = 1.96 TeV
$0.23248$ $\pm0.00053$ 10
AALTONEN
2016D
 CDF2 ${\it{}E}^{\it{}p\overline{\it{}p}}_{\rm{}cm}$ = 1.96 TeV
$0.23147$ $\pm0.00047$ 11
ABAZOV
2015C
 D0 ${\it{}E}^{\it{}p\overline{\it{}p}}_{\rm{}cm}$ = 1.96 TeV
$0.2315$ $\pm0.0010$ 12
AALTONEN
2014C
 CDF2 ${\it{}E}^{\it{}p\overline{\it{}p}}_{\rm{}cm}$ = 1.96 TeV
$0.23099$ $\pm0.00053$ 13
LEP-SLC
2006
LEP ${\it{}E}^{\it{}ee}_{\rm{}cm}$ = $88 - 94$ GeV
$0.23159$ $\pm0.00041$ 14
LEP-SLC
2006
LEP ${\it{}E}^{\it{}ee}_{\rm{}cm}$ = $88 - 94$ GeV
$0.23098$ $\pm0.00026$ 15
LEP-SLC
2006
SLD ${\it{}E}^{\it{}ee}_{\rm{}cm}$ = $88 - 94$ GeV
$0.23221$ $\pm0.00029$ 16
LEP-SLC
2006
${\it{}E}^{\it{}ee}_{\rm{}cm}$ = $88 - 94$ GeV
$0.23220$ $\pm0.00081$ 17
LEP-SLC
2006
${\it{}E}^{\it{}ee}_{\rm{}cm}$ = $88 - 94$ GeV
$0.2324$ $\pm0.0012$ 18
LEP-SLC
2006
LEP ${\it{}E}^{\it{}ee}_{\rm{}cm}$ = $88 - 94$ GeV
1  HAYRAPETYAN 2025AF analyse the forward-backward asymmetry in Drell-Yan production of ${{\mathit Z}}$ bosons decaying to electron and muon pairs.
2  AAIJ 2024AL analyse the forward-backward asymmetry in Drell-Yan production of ${{\mathit Z}}$ bosons decaying to muon pairs.
3  HAYRAPETYAN 2024T analyse the polarisation of tau leptons in ${{\mathit Z}}$ bosons decaying to tau pairs.
4  AALTONEN 2018B is a combination of the the results from the Tevatron experiments CDF and D0 in the electron and muon channels, AALTONEN 2014C, AALTONEN 2016D, ABAZOV 2015C, ABAZOV 2018, averaging the combined value from CDF and from D0 as also provided by the experiments in AALTONEN 2016D and ABAZOV 2018, respectively. The average of the two results takes correlations into account and has a ${{\mathit \chi}^{2}}$ probability of 2.6$\%$.
5  SIRUNYAN 2018CY analyse the forward-backward asymmetry in Drell-Yan production of ${{\mathit Z}}$ bosons decaying to muon or electron pairs.
6  AAD 2015BT analyse the forward-backward asymmetry in Drell-Yan production of Z bosons decaying to muon or electron pairs.
7  AAIJ 2015BF analyse the forward-backward asymmetry in Drell-Yan production of ${{\mathit Z}}$ bosons decaying to muon pairs.
8  This result combines the six individual results from LEP and SLC. The average, described in LEP-SLC 2006, has a ${{\mathit \chi}^{2}}$ probability of 3.7$\%$.
9  ABAZOV 2018 analyse the forward-backward asymmetry in Drell-Yan production of ${{\mathit Z}}$ bosons decaying to muon pairs. Combining this result with the one from ABAZOV 2015C, a value of $0.23095$ $\pm0.00040$ is obtained.
10  AALTONEN 2016D analyse the forward-backward asymmetry in Drell-Yan production of ${{\mathit Z}}$ bosons decaying to electron pairs. Combining this result with the one from AALTONEN 2014C, a value of $0.23221$ $\pm0.00046$ is obtained.
11  ABAZOV 2015C analyse the forward-backward asymmetry in Drell-Yan production of ${{\mathit Z}}$ bosons decaying to electron pairs.
12  AALTONEN 2014C analyse the forward-backward asymmetry in Drell-Yan production of ${{\mathit Z}}$ bosons decaying to muon pairs.
13  The result is based on the forward-backward asymmetry measured in leptonic ${{\mathit Z}}$ decays (electrons, muons, taus). It combines the results of the LEP experiments, ALEPH, DELPHI, L3 and OPAL, taking correlations into account, see LEP-SLC 2006.
14  The result is based on the polarisation of tau leptons measured in ${{\mathit Z}}$ decays to tau-lepton pairs. It combines the results of the LEP experiments, ALEPH, DELPHI, L3 and OPAL, taking correlations into account, see LEP-SLC 2006.
15  The result is based on the left-right and forward-backward left-right asymmetry measured in leptonic ${{\mathit Z}}$ decays (electrons, muons, taus). It combines the results of the SLC experiment, SLD, taking correlations into account, see LEP-SLC 2006.
16  The result is based on the forward-backward asymmetry measured at LEP and the forward-backward left-right asymmetry measured at SLC, in both cases using ${{\mathit Z}}$ decays to ${\mathit {\mathit b}}$-quarks. It combines the results of the LEP and SLC experiments, ALEPH, DELPHI, L3, OPAL and SLD, taking correlations into account, see LEP-SLC 2006.
17  The result is based on the forward-backward asymmetry measured at LEP and the forward-backward left-right asymmetry measured at SLC, in both cases using ${{\mathit Z}}$ decays to ${\mathit {\mathit c}}$-quarks. It combines the results of the LEP and SLC experiments ALEPH, DELPHI, L3, OPAL and SLD, taking correlations into account, see LEP-SLC 2006.
18  The result is based on the inclusive hadronic charge asymmetry measured in hadronic ${{\mathit Z}}$ decays. It combines the results of the LEP experiments, ALEPH, DELPHI, L3 and OPAL, taking correlations into account, see LEP-SLC 2006.
  References:
HAYRAPETYAN 2025AF
PL B866 139526 Measurement of the Drell--Yan forward-backward asymmetry and of the effective leptonic weak mixing angle in proton-proton collisions at $\sqrt{s}$ = 13 TeV
AAIJ 2024AL
JHEP 2412 026 Measurement of the effective leptonic weak mixing angle
HAYRAPETYAN 2024T
JHEP 2401 101 Measurement of the $\tau$ lepton polarization in Z boson decays in proton-proton collisions at $\sqrt{s}$ = 13 TeV
AALTONEN 2018B
PR D97 112007 Tevatron Run II combination of the effective leptonic electroweak mixing angle
ABAZOV 2018
PRL 120 241802 Measurement of the Effective Weak Mixing Angle in $p\bar{p}\rightarrow Z/\gamma^* \rightarrow \ell^+\ell^-$ Events
SIRUNYAN 2018CY
EPJ C78 701 Measurement of the weak mixing angle using the forward-backward asymmetry of Drell-Yan events in pp collisions at 8 TeV
AALTONEN 2016D
PR D93 112016 Measurement of sin${}^{2}\mathit \theta {}^{lept}_{eff}$ using ${{\mathit e}^{+}}{{\mathit e}^{-}}$ Pairs from ${{\mathit \gamma}^{*}}/{{\mathit Z}}$ Bosons Produced in ${{\mathit p}}{{\overline{\mathit p}}}$ Collisions at a Center-of-Momentum Energy of 1.96 TeV
AAD 2015BT
JHEP 1509 049 Measurement of the Forward-Backward Asymmetry of Electron and Muon Pair-Production in ${{\mathit p}}{{\mathit p}}$ Collisions at $\sqrt {s }$ = 7 TeV with the ATLAS Detector
AAIJ 2015BF
JHEP 1511 190 Measurement of the Forward-Backward Asymmetry in ${{\mathit Z}}$ $/$ ${{\mathit \gamma}^{*}}$ $\rightarrow$ ${{\mathit \mu}^{+}}{{\mathit \mu}^{-}}$ Decays and Determination of the Effective Weak Mixing Angle
ABAZOV 2015C
PRL 115 041801 Measurement of the Effective Weak Mixing Angle in ${{\mathit p}}$ ${{\overline{\mathit p}}}$ $\rightarrow$ ${{\mathit Z}}$ $/$ ${{\mathit \gamma}^{*}}$ $\rightarrow$ ${{\mathit e}^{+}}{{\mathit e}^{-}}$ Events
AALTONEN 2014C
PR D89 072005 Indirect Measurement of ${}^{2}\mathit \theta _{W}$ (or $\mathit M_{W}$) using ${{\mathit \mu}^{+}}{{\mathit \mu}^{-}}$ Pairs from ${{\mathit \gamma}^{*}}/{{\mathit Z}}$ Bosons Produced in ${{\mathit p}}{{\overline{\mathit p}}}$ Collisions at a Center-of-Momentum Energy of 1.96 TeV
LEP-SLC 2006
PRPL 427 257 Precision Electroweak Measurements on the ${{\mathit Z}}$ Resonance