QCD corrections to rare K- and B-decays for arbitrary top quark mass

Gerhard Buchalla; Andrzej J. Buras

doi:10.1016/0550-3213(93)90405-E

QCD corrections to rare K- and B-decays for arbitrary top quark mass

Gerhard Buchalla, Andrzej J. Buras

Chair of Theoretical Elementary Particle Physics

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402 Scopus citations

Abstract

We calculate strong interaction O(α_s) corrections to rare K- and B-decays dominated by Z⁰-penguins and box-diagrams with virtual top quark exchanges for an arbitrary top quark mass. We find that the uncertainty in the branching ratios, due to the dependence of m_t on the choice of the renormalization scale μ is reduced from O(25%) to O(3%) by including the O(α_s) corrections. For the choice μ = m_t with 100 GeV≤m_t≤200 GeV the corrections to K_L→π⁰νν and B→X_sνν are less than 4% and at most 13% for B → ll. For the choice μ = M_W they can be as large as 20% for both types of decays. We also point out that the published branching ratios for B → ll miss an overall factor of 2.

Original language	English
Pages (from-to)	225-239
Number of pages	15
Journal	Nuclear Physics, Section B
Volume	400
Issue number	1-3
DOIs	https://doi.org/10.1016/0550-3213(93)90405-E
State	Published - 12 Jul 1993

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abstract = "We calculate strong interaction O(αs) corrections to rare K- and B-decays dominated by Z0-penguins and box-diagrams with virtual top quark exchanges for an arbitrary top quark mass. We find that the uncertainty in the branching ratios, due to the dependence of mt on the choice of the renormalization scale μ is reduced from O(25%) to O(3%) by including the O(αs) corrections. For the choice μ = mt with 100 GeV≤mt≤200 GeV the corrections to KL→π0νν and B→Xsνν are less than 4% and at most 13% for B → ll. For the choice μ = MW they can be as large as 20% for both types of decays. We also point out that the published branching ratios for B → ll miss an overall factor of 2.",

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AU - Buras, Andrzej J.

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N2 - We calculate strong interaction O(αs) corrections to rare K- and B-decays dominated by Z0-penguins and box-diagrams with virtual top quark exchanges for an arbitrary top quark mass. We find that the uncertainty in the branching ratios, due to the dependence of mt on the choice of the renormalization scale μ is reduced from O(25%) to O(3%) by including the O(αs) corrections. For the choice μ = mt with 100 GeV≤mt≤200 GeV the corrections to KL→π0νν and B→Xsνν are less than 4% and at most 13% for B → ll. For the choice μ = MW they can be as large as 20% for both types of decays. We also point out that the published branching ratios for B → ll miss an overall factor of 2.

AB - We calculate strong interaction O(αs) corrections to rare K- and B-decays dominated by Z0-penguins and box-diagrams with virtual top quark exchanges for an arbitrary top quark mass. We find that the uncertainty in the branching ratios, due to the dependence of mt on the choice of the renormalization scale μ is reduced from O(25%) to O(3%) by including the O(αs) corrections. For the choice μ = mt with 100 GeV≤mt≤200 GeV the corrections to KL→π0νν and B→Xsνν are less than 4% and at most 13% for B → ll. For the choice μ = MW they can be as large as 20% for both types of decays. We also point out that the published branching ratios for B → ll miss an overall factor of 2.

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ER -

QCD corrections to rare K- and B-decays for arbitrary top quark mass

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