Abstract
We present a Two-Higgs-Doublet Model in which the structure of the quark Yukawa matrices is governed by three spurions breaking the flavour symmetries of the quark Yukawa sector. The model naturally suppresses flavour-changing neutral current (FCNC) amplitudes in the down-type sector, but permits sizable FCNC couplings in the up sector. We calculate the branching ratio of Bs → μ+μ− to leading and next-to-leading order of QCD for the case with FCNC couplings of the heavy neutral Higgs bosons to up-type quarks and verify that all counterterms follow the pattern dictated by the spurion expansion of the Yukawa matrices. We find correlations between Bs → μ+μ−, b → sγ, and the Higgs masses. The \({B}_{s}-{\overline{B} }_{s}\) mixing amplitude is naturally suppressed in the model but can probe a portion of the parameter space with very heavy Higgs bosons.
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Acknowledgments
M.S.L. would like to thank Florian Herren, Syuhei Iguro, Lucas Kunz and Mustafa Tabet for helpful discussions. The authors are grateful to Matthias Steinhauser for collaboration in an early stage of the project. This research was supported by the BMBF grants 05H18VKCC1 and 05H21VKKBA as well as Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) within the Collaborative Research Center Particle Physics Phenomenology after the Higgs Discovery (P3H) (project no. 396021762 — TRR 257). All Feynman diagrams within this paper have been produced using TikZ-FeynHand [111, 112].
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Lang, M.S., Nierste, U. Bs → μ+μ− in a two-Higgs-doublet model with flavour-changing up-type Yukawa couplings. J. High Energ. Phys. 2024, 47 (2024). https://doi.org/10.1007/JHEP04(2024)047
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DOI: https://doi.org/10.1007/JHEP04(2024)047