Two loop electroweak corrections from heavy fermions to b→s+γ

YANG Xiu-Yi; FENG Tai-Fu

doi:10.1088/1674-1137/34/12/004

Chinese Physics C> 2010, Vol. 34> Issue(12) : 1797-1811 DOI: 10.1088/1674-1137/34/12/004

Two loop electroweak corrections from heavy fermions to b→s+γ

YANG Xiu-Yi ^, ,
FENG Tai-Fu

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Abstract：
Applying an effective Lagrangian method and an on-shell scheme, we analyze the electroweak corrections to the rare decay b→s+γ 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 the 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→X_sγ can reach 5% as the energy scale of new physics Λ_NP=200 GeV.

References

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YANG Xiu-Yi and FENG Tai-Fu. Two loop electroweak corrections from heavy fermions to b→s+γ[J]. Chinese Physics C, 2010, 34(12): 1797-1811. doi: 10.1088/1674-1137/34/12/004

YANG Xiu-Yi and FENG Tai-Fu. Two loop electroweak corrections from heavy fermions to b→s+γ[J]. Chinese Physics C, 2010, 34(12): 1797-1811. doi: 10.1088/1674-1137/34/12/004 shu

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Received: 2010-03-01
Revised: 2010-03-15

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通讯作者: 陈斌, [email protected]

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沈阳化工大学材料科学与工程学院沈阳 110142

Two loop electroweak corrections from heavy fermions to b→s+γ

Corresponding author: YANG Xiu-Yi,

Received Date: 2010-03-01

Accepted Date: 2010-03-15

Available Online: 2010-12-05

Abstract:

Applying an effective Lagrangian method and an on-shell scheme, we analyze the electroweak corrections to the rare decay b→s+γ 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 the 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→X_sγ can reach 5% as the energy scale of new physics Λ_NP=200 GeV.

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Two loop electroweak corrections from heavy fermions to b→s+γ

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