Abstract
We consider the three CP-conserving dimension-6 operators that encode the leading new-physics effects in the triple gauge couplings. The contributions to the standardmodel electromagnetic dipole and semi-leptonic vector and axial-vector interactions that arise from the insertions of these operators are calculated. We show that radiative and rare B-meson decays provide, under certain assumptions, constraints on two out of the three anomalous couplings that are competitive with the restrictions obtained from LEP II, Tevatron and LHC data. The constraints arising from the \( Z\to b\overline{b} \) electroweak pseudo observables, \( K\to \pi v\overline{v} \) and ϵ′ /ϵ are also studied.
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SLD Electroweak Group, DELPHI, ALEPH, SLD, SLD Heavy Flavour Group, OPAL, LEP Electroweak Working Group, L3 collaboration, S. Schael et al., Precision electroweak measurements on the Z resonance, Phys. Rept. 427 (2006) 257 [hep-ex/0509008] [INSPIRE].
CDF collaboration, T. Aaltonen et al., Measurement of the W + W − production cross section and search for anomalous W W γ and W W Z couplings in \( p\overline{p} \) collisions at \( \sqrt{s}=1.96 \) TeV, Phys. Rev. Lett. 104 (2010) 201801 [arXiv:0912.4500] [INSPIRE].
CDF collaboration, T. Aaltonen et al., Measurement of the W Z cross section and triple gauge couplings in \( p\overline{p} \) collisions at \( \sqrt{s}=1.96 \) TeV, Phys. Rev. D 86 (2012) 031104 [arXiv:1202.6629] [INSPIRE].
D0 collaboration, V.M. Abazov et al., Limits on anomalous trilinear gauge boson couplings from W W , W Z and W γ production in pp collisions at \( \sqrt{s}=1.96 \) TeV, Phys. Lett. B 718 (2012) 451 [arXiv:1208.5458] [INSPIRE].
DELPHI, OPAL, LEP Electroweak, ALEPH, L3 collaboration, S. Schael et al., Electroweak measurements in electron-positron collisions at W-boson-pair energies at LEP, Phys. Rept. 532 (2013) 119 [arXiv:1302.3415] [INSPIRE].
T. Corbett, O.J.P. Eboli, J. Gonzalez-Fraile and M.C. Gonzalez-Garcia, Determining triple gauge boson couplings from Higgs data, Phys. Rev. Lett. 111 (2013) 011801 [arXiv:1304.1151] [INSPIRE].
B. Dumont, S. Fichet and G. von Gersdorff, A bayesian view of the Higgs sector with higher dimensional operators, JHEP 07 (2013) 065 [arXiv:1304.3369] [INSPIRE].
CMS collaboration, Measurement of the W + W − cross section in pp collisions at \( \sqrt{s}=7 \) TeV and limits on anomalous W W γ and W W Z couplings, Eur. Phys. J. C 73 (2013) 2610 [arXiv:1306.1126] [INSPIRE].
CMS collaboration, Measurement of the W γ and Zγ inclusive cross sections in pp collisions at \( \sqrt{s}=7 \) TeV and limits on anomalous triple gauge boson couplings, Phys. Rev. D 89 (2014) 092005 [arXiv:1308.6832] [INSPIRE].
ATLAS collaboration, Measurement of the W W + W Z cross section and limits on anomalous triple gauge couplings using final states with one lepton, missing transverse momentum and two jets with the ATLAS detector at \( \sqrt{s}=7 \) TeV, JHEP 01 (2015) 049 [arXiv:1410.7238] [INSPIRE].
J. Ellis, V. Sanz and T. You, The effective standard model after LHC Run I, JHEP 03 (2015) 157 [arXiv:1410.7703] [INSPIRE].
A. Falkowski and F. Riva, Model-independent precision constraints on dimension-6 operators, JHEP 02 (2015) 039 [arXiv:1411.0669] [INSPIRE].
S.P. Chia, Radiative decay of the bottom quark and the W W γ coupling, Phys. Lett. B 240 (1990) 465 [INSPIRE].
K.A. Peterson, Effects of anomalous W W γ couplings on b → sγ and b → sμ + μ −, Phys. Lett. B 282 (1992) 207 [INSPIRE].
K. Numata, The constraints of nonstandard W W γ couplings from FCNC processes, Z. Phys. C 52 (1991) 691 [INSPIRE].
T.G. Rizzo, Constraints on anomalous gauge boson couplings from b → sγ, Phys. Lett. B 315 (1993) 471 [hep-ph/9304263] [INSPIRE].
X.-G. He, Anomalous W W Z couplings and K(L) → μ + μ −, Phys. Lett. B 319 (1993) 327 [hep-ph/9306254] [INSPIRE].
G. Baillie, Observing b → sμ + μ − decays at hadron colliders, Z. Phys. C 61 (1994) 667 [hep-ph/9307369] [INSPIRE].
S. Dawson and G. Valencia, Signals for parity violation in the electroweak symmetry breaking sector, Phys. Rev. D 49 (1994) 2188 [hep-ph/9308248] [INSPIRE].
X.-G. He and B. McKellar, Constraints on the anomalous W W γ couplings from b → sγ, Phys. Lett. B 320 (1994) 165 [hep-ph/9309228] [INSPIRE].
X.-G. He and B.H.J. McKellar, ϵ′ /ϵ and anomalous gauge boson couplings, Phys. Rev. D 51 (1995) 6484 [hep-ph/9405288] [INSPIRE].
S. Alam, S. Dawson and R. Szalapski, Low-energy constraints on new physics revisited, Phys. Rev. D 57 (1998) 1577 [hep-ph/9706542] [INSPIRE].
G. Burdman, Triple gauge boson couplings in rare B and K decays, Phys. Rev. D 59 (1999) 035001 [hep-ph/9806360] [INSPIRE].
X.-G. He, Contribution to ϵ′ /ϵ from anomalous gauge couplings, Phys. Lett. B 460 (1999) 405 [hep-ph/9903242] [INSPIRE].
J. Brod, A. Greljo, E. Stamou and P. Uttayarat, Probing anomalous \( t\overline{t}Z \) interactions with rare meson decays, JHEP 02 (2015) 141 [arXiv:1408.0792] [INSPIRE].
R. Röntsch and M. Schulze, Constraining couplings of top quarks to the Z boson \( t\overline{t}+Z \) production at the LHC, JHEP 07 (2014) 091 [arXiv:1404.1005] [INSPIRE].
K. Hagiwara, S. Ishihara, R. Szalapski and D. Zeppenfeld, Low-energy effects of new interactions in the electroweak boson sector, Phys. Rev. D 48 (1993) 2182 [INSPIRE].
K. Hagiwara, R.D. Peccei, D. Zeppenfeld and K. Hikasa, Probing the weak boson sector in e + e − → W + W −, Nucl. Phys. B 282 (1987) 253 [INSPIRE].
W. Buchmüller and D. Wyler, Effective lagrangian analysis of new interactions and flavor conservation, Nucl. Phys. B 268 (1986) 621 [INSPIRE].
B. Grzadkowski, M. Iskrzynski, M. Misiak and J. Rosiek, Dimension-six terms in the standard model lagrangian, JHEP 10 (2010) 085 [arXiv:1008.4884] [INSPIRE].
E.E. Jenkins, A.V. Manohar and M. Trott, Renormalization group evolution of the standard model dimension six operators II: Yukawa dependence, JHEP 01 (2014) 035 [arXiv:1310.4838] [INSPIRE].
A. Freitas and U. Haisch, \( \overline{B}\to {X}_s\gamma \) in two universal extra dimensions, Phys. Rev. D 77 (2008) 093008 [arXiv:0801.4346] [INSPIRE].
B. Grzadkowski and M. Misiak, Anomalous W tb coupling effects in the weak radiative B-meson decay, Phys. Rev. D 78 (2008) 077501 [Erratum ibid. D 84 (2011) 059903] [arXiv:0802.1413] [INSPIRE].
A.S. Kronfeld et al., Project X: physics opportunities, arXiv:1306.5009.
U. Haisch and A. Weiler, Determining the sign of the Z − penguin amplitude, Phys. Rev. D76 (2007) 074027 [arXiv:0706.2054] [INSPIRE].
U. Haisch and S. Westhoff, Massive color-octet bosons: bounds on effects in top-quark pair production, JHEP 08 (2011) 088 [arXiv:1106.0529] [INSPIRE].
M. Misiak et al., Updated NNLO QCD predictions for the weak radiative B-meson decays, Phys. Rev. Lett. 114 (2015) 221801 [arXiv:1503.01789] [INSPIRE].
M. Czakon, P. Fiedler, T. Huber, M. Misiak, T. Schutzmeier and M. Steinhauser, The (Q7, Q1,2) contribution to \( \overline{B}\to {X}_s\gamma \) at O(a 2 s ), JHEP 04 (2015) 168 [arXiv:1503.01791] [INSPIRE].
Heavy Flavor Averaging Group (HFAG) collaboration, Y. Amhis et al., Averages of b-hadron, c-hadron and τ -lepton properties as of summer 2014, arXiv:1412.7515 [INSPIRE].
C. Bobeth, M. Gorbahn, T. Hermann, M. Misiak, E. Stamou and M. Steinhauser, B s,d → ℓ+ℓ− in the standard model with reduced theoretical uncertainty, Phys. Rev. Lett. 112 (2014) 101801 [arXiv:1311.0903] [INSPIRE].
T. Hermann, M. Misiak and M. Steinhauser, Three-loop QCD corrections to B s → μ + μ −, JHEP 12 (2013) 097 [arXiv:1311.1347] [INSPIRE].
C. Bobeth, M. Gorbahn and E. Stamou, Electroweak corrections to B s,d → ℓ+ℓ−, Phys. Rev. D 89 (2014) 034023 [arXiv:1311.1348] [INSPIRE].
LHCb, CMS collaboration, Observation of the rare B 0 s → μ + μ − decay from the combined analysis of CMS and LHCb data, Nature 522 (2015) 68 [arXiv:1411.4413] [INSPIRE].
M. Ciuchini, E. Franco, S. Mishima and L. Silvestrini, Electroweak precision observables, new physics and the nature of a 126 GeV Higgs boson, JHEP 08 (2013) 106 [arXiv:1306.4644] [INSPIRE].
D. Guadagnoli and G. Isidori, B(B s → μ + μ −) as an electroweak precision test, Phys. Lett. B 724 (2013) 63 [arXiv:1302.3909] [INSPIRE].
P. Gambino, U. Haisch and M. Misiak, Determining the sign of the b → sγ amplitude, Phys. Rev. Lett. 94 (2005) 061803 [hep-ph/0410155] [INSPIRE].
F. Beaujean, C. Bobeth and D. van Dyk, Comprehensive Bayesian analysis of rare (semi)leptonic and radiative B decays, Eur. Phys. J. C 74 (2014) 2897 [Erratum ibid. C 74 (2014) 3179] [arXiv:1310.2478] [INSPIRE].
W. Altmannshofer and D.M. Straub, New physics in b → s transitions after LHC Run 1, Eur. Phys. J. C 75 (2015) 382 [arXiv:1411.3161] [INSPIRE].
LHCb collaboration, Test of lepton universality using B + → K +ℓ+ℓ− decays, Phys. Rev. Lett. 113 (2014) 151601 [arXiv:1406.6482] [INSPIRE].
A.J. Buras, M. Gorbahn, U. Haisch and U. Nierste, The rare decay \( {\mathrm{K}}^{+}\to {\pi}^{+}\nu \overline{n}u \) at the next-to-next-to-leading order in QCD, Phys. Rev. Lett. 95 (2005) 261805 [hep-ph/0508165] [INSPIRE].
A.J. Buras, M. Gorbahn, U. Haisch and U. Nierste, Charm quark contribution to \( {\mathrm{K}}^{+}\to {\pi}^{+}\nu \overline{n}u \) at next-to-next-to-leading order,JHEP 11(2006) 002 [Erratum ibid. 1211 (2012) 167] [hep-ph/0603079] [INSPIRE].
J. Brod and M. Gorbahn, Electroweak corrections to the charm quark contribution to \( {\mathrm{K}}^{+}\to {\pi}^{+}\nu \overline{\nu} \), Phys. Rev. D 78(2008) 034006[arXiv:0805.4119] [INSPIRE].
J. Brod, M. Gorbahn and E. Stamou, Two-loop electroweak corrections for the \( \mathrm{K}\to \pi \nu \overline{n}u \) decays, Phys. Rev. D 83 (2011) 034030 [arXiv:1009.0947] [INSPIRE].
NA62 collaboration, http://na62.web.cern.ch/na62.
KOTO collaboration, http://koto.kek.jp.
ORKA collaboration, http://projects-docdb.fnal.gov/cgi-bin/ShowDocument?docid=1365.
M. Bauer, S. Casagrande, U. Haisch and M. Neubert, Flavor physics in the Randall-Sundrum model: II. Tree-level weak-interaction processes, JHEP 09 (2010) 017 [arXiv:0912.1625] [INSPIRE].
A.J. Buras, F. De Fazio and J. Girrbach, ΔI = 1/2 rule, ϵ′ /ϵ and \( \mathrm{K}\to \pi \nu \overline{\nu} \) in Z ′(Z) and G ′ models with FCNC quark couplings, Eur. Phys. J. C 74 (2014) 2950 [arXiv:1404.3824] [INSPIRE].
T. Blum et al., Lattice determination of the K → (ππ) I=2 decay amplitude A 2, Phys. Rev. D 86 (2012) 074513 [arXiv:1206.5142] [INSPIRE].
T. Blum et al., K → ππ ΔI = 3/2 decay amplitude in the continuum limit, Phys. Rev. D 91 (2015) 074502 [arXiv:1502.00263] [INSPIRE].
Particle Data Group collaboration, K.A. Olive et al., Review of particle physics, Chin. Phys. C 38 (2014) 090001 [INSPIRE].
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Bobeth, C., Haisch, U. Anomalous triple gauge couplings from B-meson and kaon observables. J. High Energ. Phys. 2015, 18 (2015). https://doi.org/10.1007/JHEP09(2015)018
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DOI: https://doi.org/10.1007/JHEP09(2015)018