Quark

Higgs boson

Lepton

Statistics

Anomalous magnetic dipole moment

Nuclear physics

Particle physics

Two-Higgs-doublet model

Yukawa potential

Neutrino

Mathematical optimization

Hamiltonian (control theory)

Physics

Mathematics

Muon

Parameter space

Geometry

Electron

Physics beyond the Standard Model

Cabibbo–Kobayashi–Maskawa matrix

Journal of High Energy Physics

A bstract In this article we study b → sμ + μ − transitions and possible correlations with the anomalous magnetic moment of the muon ( a μ ) within two-Higgs-doublet models with generic Yukawa couplings, including the possibility of right-handed neutrinos. We perform the matching on the relevant effective Hamiltonian and calculate the leading one-loop effects for b → sℓℓ ( ′ ) , b → sγ , Δ B = Δ S = 2, $$ b\to s\nu \overline{v} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>b</mml:mi> <mml:mo>→</mml:mo> <mml:mi>s</mml:mi> <mml:mi>ν</mml:mi> <mml:mover> <mml:mi>v</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> </mml:math> and ℓ → ℓ ′ γ transitions in a general R ξ gauge. Concerning the phenomenology, we find that an explanation of the hints for new physics in b → sμ + μ − data is possible once right-handed neutrinos are included. If lepton flavour violating couplings are allowed, one can account for the discrepancy in a μ as well. However, only a small portion of parameter space gives a good fit to b → sμ + μ − data and the current bound on h → τμ requires the mixing between the neutral Higgses to be very small if one aims at an explanation of a μ .

b → sℓ+ℓ− transitions in two-Higgs-doublet models