Heavy fermions and two loop electroweak corrections to $b\rightarrow s+γ$

Details Heavy fermions and two loop electroweak corrections to $b\rightarrow s+γ$ Heavy fermions and two loop electroweak corrections to $b\rightarrow s+γ$

2010-05-25

arxiv.org/abs/1005.4543v1

Journal of High Energy Physics 05 (2010) 059

Physics

High Energy Physics

High Energy Physics - Phenomenology

30 pages,4 figures

Scientific paper

10.1007/JHEP05(2010)059

Applying effective Lagrangian method and on-shell scheme, we analyze the electroweak corrections to the rare decay $b\rightarrow s+\gamma$ from some special two loop diagrams in which a closed heavy fermion loop is attached to the virtual charged gauge bosons or Higgs. At the decoupling limit where the virtual fermions in inner loop are much heavier than the electroweak scale, we verify the final results satisfying the decoupling theorem explicitly when the interactions among Higgs and heavy fermions do not contain the nondecoupling couplings. Adopting the universal assumptions on the relevant couplings and mass spectrum of new physics, we find that the relative corrections from those two loop diagrams to the SM theoretical prediction on the branching ratio of $B\rightarrow X_{_s}\gamma$ can reach 5% as the energy scale of new physics $\Lambda_{_{\rm NP}}=200$ GeV.

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