Abstract

This presentation reviews the main results of our recent work [1] on rare radiative leptonic decays Bd,s → γμ+μ- and Bd,s → γe+e- induced by flavour-changing neutral currents (FCNC) in the Standard Model.

Highlights

  • Rare flavour-changing neutral currents (FCNC) decays of B-mesons are forbidden at the tree level in the Standard Model and occur only via loop diagrams

  • The basis operators Obi →q(μ) contain only dynamical light degrees of freedom (u, d, s, c, and b-quarks, leptons, photons and gluons). These light particles appear as dynamical degrees of freedom in the diagrams for the amplitudes of rare FCNC B-decays

  • The Wilson coefficients Ci(μ) absorb the contributions of the heavy particls (W, Z, and t in the SM) given by the box and the penguin digrams; taking account of hard gluon exchanges in the Feynman diagrams leads to the dependence of Ci on the scale μ

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Summary

Bs b

_ Bs l s b emission from the valence l quark. γ γ b _ Bs s γ s b s l l l Figure 2. For these contributions, we made use of the dispersion approach based on the relativistic constituent quark picture [8,9,10,11,12]: within this approach, the form factors are given by relativistic spectral representations via the meson relativistic wave functions. To calculate these contributions, we combined the results from the dispersion approach at q2 < 0 with the gauge-invariant version of vector meson dominance [14]. The structure of the charm-loop contributions to the Bs → γl+l− amplitude has the form: Hμα(k′, k)

Bs s c
Results
Bs ΓΜΜ
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