### Abstract

Among the O(α_{s} tan β) contributions to the Wilson coefficients C_{7} and C_{8}, relevant for the decay B̄ →X_{s}γ, those induced by two-loop diagrams with charged-Higgs-boson exchange and squark-gluino corrections are calculated in supersymmetric models at large tan β. The calculation of the corresponding Feynman integrals is exact, unlike in previous studies that are valid when the typical supersymmetric scale M_{SUSY} is sufficiently larger than the electroweak scale m_{weak} (∼m_{W},m_{t}) and the mass of the charged Higgs boson m_{H}±. Therefore, the results presented here can be used for any value of the various supersymmetric masses. These results are compared with those of an approximate calculation, already existing in the literature, that is at the zeroth order in the expansion parameter (m_{weak} ^{2},m_{H} ^{2})/M _{SUSY} ^{2}, and with the results of two new approximate calculations in which the first and second order in the same expansion parameter are retained, respectively. This comparison allows us to assess whether the results of these three approximate calculations can be extended beyond the range of validity for which they were derived, i.e., whether they can be used for m_{H}≳M_{SUSY} and/or M_{SUSY}∼m _{weak}. It is found that the zeroth-order approximation works well even for m_{H}≳M_{SUSY}, provided M_{sUSY} ^{2}≫m_{weak} ^{2}. The inclusion of the higher-order terms improves the zeroth-order approximation for m_{H} ^{2} ≪M_{sUSY} ^{2}, but it worsens it for m_{H}≳ M_{SUSY}.

Original language | English |
---|---|

Article number | 055005 |

Journal | Physical Review D |

Volume | 69 |

Issue number | 5 |

DOIs | |

Publication status | Published - 2004 Dec 1 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)

### Cite this

_{s}γ at large tan β: The charged-Higgs-boson contribution.

*Physical Review D*,

*69*(5), [055005]. https://doi.org/10.1103/PhysRevD.69.055005

**Beyond leading-order corrections to B̄ → X _{s} γ at large tan β : The charged-Higgs-boson contribution.** / Borzumati, Francesca; Greub, Christoph; Yamada, Youichi.

Research output: Contribution to journal › Article

_{s}γ at large tan β: The charged-Higgs-boson contribution',

*Physical Review D*, vol. 69, no. 5, 055005. https://doi.org/10.1103/PhysRevD.69.055005

_{s}γ at large tan β: The charged-Higgs-boson contribution. Physical Review D. 2004 Dec 1;69(5). 055005. https://doi.org/10.1103/PhysRevD.69.055005

}

TY - JOUR

T1 - Beyond leading-order corrections to B̄ → Xs γ at large tan β

T2 - The charged-Higgs-boson contribution

AU - Borzumati, Francesca

AU - Greub, Christoph

AU - Yamada, Youichi

PY - 2004/12/1

Y1 - 2004/12/1

N2 - Among the O(αs tan β) contributions to the Wilson coefficients C7 and C8, relevant for the decay B̄ →Xsγ, those induced by two-loop diagrams with charged-Higgs-boson exchange and squark-gluino corrections are calculated in supersymmetric models at large tan β. The calculation of the corresponding Feynman integrals is exact, unlike in previous studies that are valid when the typical supersymmetric scale MSUSY is sufficiently larger than the electroweak scale mweak (∼mW,mt) and the mass of the charged Higgs boson mH±. Therefore, the results presented here can be used for any value of the various supersymmetric masses. These results are compared with those of an approximate calculation, already existing in the literature, that is at the zeroth order in the expansion parameter (mweak 2,mH 2)/M SUSY 2, and with the results of two new approximate calculations in which the first and second order in the same expansion parameter are retained, respectively. This comparison allows us to assess whether the results of these three approximate calculations can be extended beyond the range of validity for which they were derived, i.e., whether they can be used for mH≳MSUSY and/or MSUSY∼m weak. It is found that the zeroth-order approximation works well even for mH≳MSUSY, provided MsUSY 2≫mweak 2. The inclusion of the higher-order terms improves the zeroth-order approximation for mH 2 ≪MsUSY 2, but it worsens it for mH≳ MSUSY.

AB - Among the O(αs tan β) contributions to the Wilson coefficients C7 and C8, relevant for the decay B̄ →Xsγ, those induced by two-loop diagrams with charged-Higgs-boson exchange and squark-gluino corrections are calculated in supersymmetric models at large tan β. The calculation of the corresponding Feynman integrals is exact, unlike in previous studies that are valid when the typical supersymmetric scale MSUSY is sufficiently larger than the electroweak scale mweak (∼mW,mt) and the mass of the charged Higgs boson mH±. Therefore, the results presented here can be used for any value of the various supersymmetric masses. These results are compared with those of an approximate calculation, already existing in the literature, that is at the zeroth order in the expansion parameter (mweak 2,mH 2)/M SUSY 2, and with the results of two new approximate calculations in which the first and second order in the same expansion parameter are retained, respectively. This comparison allows us to assess whether the results of these three approximate calculations can be extended beyond the range of validity for which they were derived, i.e., whether they can be used for mH≳MSUSY and/or MSUSY∼m weak. It is found that the zeroth-order approximation works well even for mH≳MSUSY, provided MsUSY 2≫mweak 2. The inclusion of the higher-order terms improves the zeroth-order approximation for mH 2 ≪MsUSY 2, but it worsens it for mH≳ MSUSY.

UR - http://www.scopus.com/inward/record.url?scp=33750467586&partnerID=8YFLogxK

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U2 - 10.1103/PhysRevD.69.055005

DO - 10.1103/PhysRevD.69.055005

M3 - Article

AN - SCOPUS:33750467586

VL - 69

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 5

M1 - 055005

ER -