Abstract
We discuss Yukawa-enhanced contributions from Z-mediated new physics to down-type quark ΔF = 2 processes in the framework of the standard model gauge-invariant effective theory (SMEFT). Besides the renormalization group (RG) mixing of the Z-mediating ψ 2 H 2 D operators into ΔF = 2 operators, we include at the electroweak scale one-loop (NLO) matching corrections consistently, necessary for the removal of the matching scale dependence. We point out that the right-handed Z-mediated interactions generate through Yukawa RG mixing ΔF = 2 left-right operators, which are further enhanced through QCD RG effects and chirally enhanced hadronic matrix elements. We investigate the impact of these new effects on the known correlations between ΔF = 2 and ΔF = 1 transitions in the SMEFT framework and point out qualitative differences to previous parameterizations of Z-mediated new physics that arise for the left-handed case. We illustrate how specific models fit into our model-independent framework by using four models with vector-like quarks. We carry out model-independent analyses of scenarios with purely left-handed and purely right-handed new-physics Z couplings for each of the three sectors s → d, b → s and b → d. Specifically we discuss the correlations between ε′/ε, ε K , \( {K}_L\to {\mu}^{+}{\mu}^{-}{K}^{+}\to {\pi}^{+}\nu \overline{\nu} \) and \( {K}_L\to {\pi}^0\nu \overline{\nu} \) in the Kaon sector, and ϕ s , B s → μ + μ − and B → K (*)(μ + μ − , \( \nu \overline{\nu} \)) in the b → s sector and B d → μ + μ − in the b → d sector.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
S.L. Glashow, J. Iliopoulos and L. Maiani, Weak Interactions with Lepton-Hadron Symmetry, Phys. Rev. D 2 (1970) 1285.
T. Inami and C.S. Lim, Effects of Superheavy Quarks and Leptons in Low-Energy Weak Processes K L → μ + μ − , \( {K}^{+}\to {\pi}^{+}\nu \overline{\nu} \) and \( {K}^0-{\overline{K}}^0 \), Prog. Theor. Phys. 65 (1981) 297 [Erratum ibid. 65 (1981) 1772] [INSPIRE].
G. Buchalla, A.J. Buras and M.K. Harlander, Penguin box expansion: Flavor changing neutral current processes and a heavy top quark, Nucl. Phys. B 349 (1991) 1 [INSPIRE].
A.J. Buras and J. Girrbach, Towards the Identification of New Physics through Quark Flavour Violating Processes, Rept. Prog. Phys. 77 (2014) 086201 [arXiv:1306.3775] [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].
C. Arzt, M.B. Einhorn and J. Wudka, Patterns of deviation from the standard model, Nucl. Phys. B 433 (1995) 41 [hep-ph/9405214] [INSPIRE].
A.J. Buras, F. De Fazio and J. Girrbach, The Anatomy of Z’ and Z with Flavour Changing Neutral Currents in the Flavour Precision Era, JHEP 02 (2013) 116 [arXiv:1211.1896] [INSPIRE].
A.J. Buras, D. Buttazzo and R. Knegjens, \( K\to \pi \nu \overline{\nu} \) and ε′/ε in simplified new physics models, JHEP 11 (2015) 166 [arXiv:1507.08672] [INSPIRE].
A.J. Buras, New physics patterns in ε′/ε and ε K with implications for rare kaon decays and ΔM K , JHEP 04 (2016) 071 [arXiv:1601.00005] [INSPIRE].
M. Endo, T. Kitahara, S. Mishima and K. Yamamoto, Revisiting Kaon Physics in General Z Scenario, Phys. Lett. B 771 (2017) 37 [arXiv:1612.08839] [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].
K. Ishiwata, Z. Ligeti and M.B. Wise, New Vector-Like Fermions and Flavor Physics, JHEP 10 (2015) 027 [arXiv:1506.03484] [INSPIRE].
C. Bobeth, A.J. Buras, A. Celis and M. Jung, Patterns of Flavour Violation in Models with Vector-Like Quarks, JHEP 04 (2017) 079 [arXiv:1609.04783] [INSPIRE].
F. del Aguila, M. Pérez-Victoria and J. Santiago, Observable contributions of new exotic quarks to quark mixing, JHEP 09 (2000) 011 [hep-ph/0007316] [INSPIRE].
E.E. Jenkins, A.V. Manohar and M. Trott, Renormalization Group Evolution of the Standard Model Dimension Six Operators I: Formalism and lambda Dependence, JHEP 10 (2013) 087 [arXiv:1308.2627] [INSPIRE].
R. Alonso, E.E. Jenkins, A.V. Manohar and M. Trott, Renormalization Group Evolution of the Standard Model Dimension Six Operators III: Gauge Coupling Dependence and Phenomenology, JHEP 04 (2014) 159 [arXiv:1312.2014] [INSPIRE].
G. Buchalla, A.J. Buras and M.E. Lautenbacher, Weak decays beyond leading logarithms, Rev. Mod. Phys. 68 (1996) 1125 [hep-ph/9512380] [INSPIRE].
J. Aebischer, A. Crivellin, M. Fael and C. Greub, Matching of gauge invariant dimension-six operators for b → s and b → c transitions, JHEP 05 (2016) 037 [arXiv:1512.02830] [INSPIRE].
M. Ciuchini, E. Franco, V. Lubicz, G. Martinelli, I. Scimemi and L. Silvestrini, Next-to-leading order QCD corrections to ΔF = 2 effective Hamiltonians, Nucl. Phys. B 523 (1998) 501 [hep-ph/9711402] [INSPIRE].
A.J. Buras, M. Misiak and J. Urban, Two loop QCD anomalous dimensions of flavor changing four quark operators within and beyond the standard model, Nucl. Phys. B 586 (2000) 397 [hep-ph/0005183] [INSPIRE].
G.M. Pruna and A. Signer, The μ → eγ decay in a systematic effective field theory approach with dimension 6 operators, JHEP 10 (2014) 014 [arXiv:1408.3565] [INSPIRE].
R. Gauld, B.D. Pecjak and D.J. Scott, One-loop corrections to \( h\to b\overline{b} \) and \( h\to \tau \overline{\tau} \) decays in the Standard Model Dimension-6 EFT: four-fermion operators and the large-m t limit, JHEP 05 (2016) 080 [arXiv:1512.02508] [INSPIRE].
C. Bobeth and U. Haisch, Anomalous triple gauge couplings from B-meson and kaon observables, JHEP 09 (2015) 018 [arXiv:1503.04829] [INSPIRE].
S. Alioli, V. Cirigliano, W. Dekens, J. de Vries and E. Mereghetti, Right-handed charged currents in the era of the Large Hadron Collider, JHEP 05 (2017) 086 [arXiv:1703.04751] [INSPIRE].
C. Bobeth, M. Misiak and J. Urban, Photonic penguins at two loops and m t dependence of BR(B → X s l + l −), Nucl. Phys. B 574 (2000) 291 [hep-ph/9910220] [INSPIRE].
F. Feruglio, P. Paradisi and A. Pattori, Revisiting Lepton Flavor Universality in B Decays, Phys. Rev. Lett. 118 (2017) 011801 [arXiv:1606.00524] [INSPIRE].
V. Cirigliano, W. Dekens, J. de Vries and E. Mereghetti, An ϵ′ improvement from right-handed currents, Phys. Lett. B 767 (2017) 1 [arXiv:1612.03914] [INSPIRE].
LHCb collaboration, Measurement of the B 0 s → μ + μ − branching fraction and effective lifetime and search for B 0 → μ + μ − decays, Phys. Rev. Lett. 118 (2017) 191801 [arXiv:1703.05747] [INSPIRE].
W. Altmannshofer, C. Niehoff and D.M. Straub, B s → μ + μ − as current and future probe of new physics, JHEP 05 (2017) 076 [arXiv:1702.05498] [INSPIRE].
RBC/UKQCD collaboration, N. Garron, R.J. Hudspith and A.T. Lytle, Neutral Kaon Mixing Beyond the Standard Model with n f = 2 + 1 Chiral Fermions Part 1: Bare Matrix Elements and Physical Results, JHEP 11 (2016) 001 [arXiv:1609.03334] [INSPIRE].
Fermilab Lattice, MILC collaboration, A. Bazavov et al., B 0(s) -mixing matrix elements from lattice QCD for the Standard Model and beyond, Phys. Rev. D 93 (2016) 113016 [arXiv:1602.03560] [INSPIRE].
A.J. Buras, S. Jäger and J. Urban, Master formulae for ΔF = 2 NLO QCD factors in the standard model and beyond, Nucl. Phys. B 605 (2001) 600 [hep-ph/0102316] [INSPIRE].
A.J. Buras, M. Jamin and P.H. Weisz, Leading and Next-to-leading QCD Corrections to ϵ Parameter and \( {B}^0\hbox{--} {\overline{B}}^0 \) Mixing in the Presence of a Heavy Top Quark, Nucl. Phys. B 347 (1990) 491 [INSPIRE].
J. Brod and M. Gorbahn, ϵ K at Next-to-Next-to-Leading Order: The Charm-Top-Quark Contribution, Phys. Rev. D 82 (2010) 094026 [arXiv:1007.0684] [INSPIRE].
J. Brod and M. Gorbahn, Next-to-Next-to-Leading-Order Charm-Quark Contribution to the CP-violation Parameter ε K and ΔM K , Phys. Rev. Lett. 108 (2012) 121801 [arXiv:1108.2036] [INSPIRE].
M. Jung, Determining weak phases from B → J/ψP decays, Phys. Rev. D 86 (2012) 053008 [arXiv:1206.2050] [INSPIRE].
K. De Bruyn and R. Fleischer, A Roadmap to Control Penguin Effects in B 0 d → J/ψK 0S and B 0 s → J/ψϕ, JHEP 03 (2015) 145 [arXiv:1412.6834] [INSPIRE].
P. Frings, U. Nierste and M. Wiebusch, Penguin contributions to CP phases in B d,s decays to charmonium, Phys. Rev. Lett. 115 (2015) 061802 [arXiv:1503.00859] [INSPIRE].
Z. Ligeti and D.J. Robinson, Towards more precise determinations of the quark mixing phase β, Phys. Rev. Lett. 115 (2015) 251801 [arXiv:1507.06671] [INSPIRE].
R. Alonso, B. Grinstein and J. Martin Camalich, SU(2) × U(1) gauge invariance and the shape of new physics in rare B decays, Phys. Rev. Lett. 113 (2014) 241802 [arXiv:1407.7044] [INSPIRE].
A.J. Buras, J. Girrbach-Noe, C. Niehoff and D.M. Straub, \( B\to {K}^{\left(\ast \right)}\nu \overline{\nu} \) decays in the Standard Model and beyond, JHEP 02 (2015) 184 [arXiv:1409.4557] [INSPIRE].
NA48 collaboration, J.R. Batley et al., A Precision measurement of direct CP-violation in the decay of neutral kaons into two pions, Phys. Lett. B 544 (2002) 97 [hep-ex/0208009] [INSPIRE].
KTeV collaboration, A. Alavi-Harati et al., Measurements of direct CP-violation, CPT symmetry and other parameters in the neutral kaon system, Phys. Rev. D 67 (2003) 012005 [Erratum ibid. D 70 (2004) 079904] [hep-ex/0208007] [INSPIRE].
KTeV collaboration, E. Abouzaid et al., Precise Measurements of Direct CP-violation, CPT Symmetry and Other Parameters in the Neutral Kaon System, Phys. Rev. D 83 (2011) 092001 [arXiv:1011.0127] [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].
RBC, UKQCD collaboration, Z. Bai et al., Standard Model Prediction for Direct CP-violation in K → ππ Decay, Phys. Rev. Lett. 115 (2015) 212001 [arXiv:1505.07863] [INSPIRE].
A.J. Buras, M. Gorbahn, S. Jäger and M. Jamin, Improved anatomy of ε′/ε in the Standard Model, JHEP 11 (2015) 202 [arXiv:1507.06345] [INSPIRE].
A.J. Buras and J.-M. Gérard, Upper bounds on ε′/ε parameters B (1/2)6 and B (3/2)8 from large-N QCD and other news, JHEP 12 (2015) 008 [arXiv:1507.06326] [INSPIRE].
A.J. Buras and J.-M. Gerard, Final state interactions in K → ππ decays: ΔI = 1/2 rule vs. ε′/ε, Eur. Phys. J. C 77 (2017) 10 [arXiv:1603.05686] [INSPIRE].
T. Kitahara, U. Nierste and P. Tremper, Singularity-free next-to-leading order ΔS = 1 renormalization group evolution and ϵ ′ K /ϵ K in the Standard Model and beyond, JHEP 12 (2016) 078 [arXiv:1607.06727] [INSPIRE].
G. Isidori and R. Unterdorfer, On the short distance constraints from K L,S → μ + μ −, JHEP 01 (2004) 009 [hep-ph/0311084] [INSPIRE].
G. D’Ambrosio, G. Isidori and J. Portoles, Can we extract short distance information from Br(K L → μ + μ −)?, Phys. Lett. B 423 (1998) 385 [hep-ph/9708326] [INSPIRE].
M. Blanke, A.J. Buras and S. Recksiegel, Quark flavour observables in the Littlest Higgs model with T-parity after LHC Run 1, Eur. Phys. J. C 76 (2016) 182 [arXiv:1507.06316] [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1703.04753
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Bobeth, C., Buras, A.J., Celis, A. et al. Yukawa enhancement of Z-mediated new physics in ∆S = 2 and ∆B = 2 processes. J. High Energ. Phys. 2017, 124 (2017). https://doi.org/10.1007/JHEP07(2017)124
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP07(2017)124