Abstract
We revisit electroweak radiative corrections to Standard Model Effective Field Theory (SMEFT) operators which are relevant for the B-meson semileptonic decays. The one-loop matching formulae onto the low-energy effective field theory are provided without imposing any flavor symmetry. The on-shell conditions are applied especially in dealing with quark-flavor mixings. Also, the gauge independence is shown explicitly in the Rξ gauge.
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References
LHCb collaboration, Measurement of CP-Averaged Observables in the B0 → K∗0 μ+ μ− Decay, Phys. Rev. Lett. 125 (2020) 011802 [arXiv:2003.04831] [INSPIRE].
D. Gerick, Rare Decays at LHCb: recent results, https://indico.cern.ch/event/857473/contributions/4060371/attachments/2133689/3593528/Implications2020_LHCbRareDecays_DavidGerick.pdf.
M. Ciuchini, M. Fedele, E. Franco, A. Paul, L. Silvestrini and M. Valli, Lessons from the B0,+ → K∗0,+ μ+ μ− angular analyses, Phys. Rev. D 103 (2021) 015030 [arXiv:2011.01212] [INSPIRE].
LHCb collaboration, Search for lepton-universality violation in B+ → K + ℓ+ ℓ− decays, Phys. Rev. Lett. 122 (2019) 191801 [arXiv:1903.09252] [INSPIRE].
LHCb collaboration, Test of lepton universality with B0 → K∗0 ℓ+ ℓ− decays, JHEP 08 (2017) 055 [arXiv:1705.05802] [INSPIRE].
E. Gabrielli and M. Palmiotto, Magnetic-dipole corrections to RK and RK∗ in the Standard Model and dark photon scenarios, JHEP 10 (2020) 145 [arXiv:1910.14385] [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].
J. E. Camargo-Molina, A. Celis and D. A. Faroughy, Anomalies in Bottom from new physics in Top, Phys. Lett. B 784 (2018) 284 [arXiv:1805.04917] [INSPIRE].
T. Hurth, S. Renner and W. Shepherd, Matching for FCNC effects in the flavour-symmetric SMEFT, JHEP 06 (2019) 029 [arXiv:1903.00500] [INSPIRE].
R. Coy, M. Frigerio, F. Mescia and O. Sumensari, New physics in b → sℓℓ transitions at one loop, Eur. Phys. J. C 80 (2020) 52 [arXiv:1909.08567] [INSPIRE].
J. Aebischer and J. Kumar, Flavour violating effects of Yukawa running in SMEFT, JHEP 09 (2020) 187 [arXiv:2005.12283] [INSPIRE].
L. Alasfar, A. Azatov, J. de Blas, A. Paul and M. Valli, B anomalies under the lens of electroweak precision, JHEP 12 (2020) 016 [arXiv:2007.04400] [INSPIRE].
K. I. Aoki, Z. Hioki, M. Konuma, R. Kawabe and T. Muta, Electroweak Theory. Framework of On-Shell Renormalization and Study of Higher Order Effects, Prog. Theor. Phys. Suppl. 73 (1982) 1 [INSPIRE].
M. Böhm, H. Spiesberger and W. Hollik, On the One Loop Renormalization of the Electroweak Standard Model and Its Application to Leptonic Processes, Fortsch. Phys. 34 (1986) 687 [INSPIRE].
W. Dekens and P. Stoffer, Low-energy effective field theory below the electroweak scale: matching at one loop, JHEP 10 (2019) 197 [arXiv:1908.05295] [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].
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].
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].
M. Endo, S. Mishima and D. Ueda, in preparation.
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].
T. Hahn, Generating Feynman diagrams and amplitudes with FeynArts 3, Comput. Phys. Commun. 140 (2001) 418 [hep-ph/0012260] [INSPIRE].
T. Hahn and M. Pérez-Victoria, Automatized one loop calculations in four-dimensions and D-dimensions, Comput. Phys. Commun. 118 (1999) 153 [hep-ph/9807565] [INSPIRE].
A. Alloul, N. D. Christensen, C. Degrande, C. Duhr and B. Fuks, FeynRules 2.0 — A complete toolbox for tree-level phenomenology, Comput. Phys. Commun. 185 (2014) 2250 [arXiv:1310.1921] [INSPIRE].
A. Denner and T. Sack, Renormalization of the Quark Mixing Matrix, Nucl. Phys. B 347 (1990) 203 [INSPIRE].
B. A. Kniehl and A. Pilaftsis, Mixing renormalization in Majorana neutrino theories, Nucl. Phys. B 474 (1996) 286 [hep-ph/9601390] [INSPIRE].
A. Pilaftsis, Gauge and scheme dependence of mixing matrix renormalization, Phys. Rev. D 65 (2002) 115013 [hep-ph/0203210] [INSPIRE].
A. Denner, Techniques for calculation of electroweak radiative corrections at the one loop level and results for W physics at LEP-200, Fortsch. Phys. 41 (1993) 307 [arXiv:0709.1075] [INSPIRE].
A. Dedes, W. Materkowska, M. Paraskevas, J. Rosiek and K. Suxho, Feynman rules for the Standard Model Effective Field Theory in Rξ-gauges, JHEP 06 (2017) 143 [arXiv:1704.03888] [INSPIRE].
A. Khodjamirian, T. Mannel, A. A. Pivovarov and Y. M. Wang, Charm-loop effect in B → K(∗) ℓ+ ℓ− and B → K∗ γ, JHEP 09 (2010) 089 [arXiv:1006.4945] [INSPIRE].
N. Gubernari, D. Van Dyk and J. Virto, Non-local matrix elements in B(s) → {K(∗), ϕ}ℓ+ ℓ−, JHEP 02 (2021) 088 [arXiv:2011.09813] [INSPIRE].
J. Ellis, TikZ-Feynman: Feynman diagrams with TikZ, Comput. Phys. Commun. 210 (2017) 103 [arXiv:1601.05437] [INSPIRE].
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Endo, M., Mishima, S. & Ueda, D. Revisiting electroweak radiative corrections to b → sℓℓ in SMEFT. J. High Energ. Phys. 2021, 50 (2021). https://doi.org/10.1007/JHEP05(2021)050
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DOI: https://doi.org/10.1007/JHEP05(2021)050