Beyond leading-order corrections to [Formula Presented] at large [Formula Presented] The charged-Higgs-boson contribution

Francesca Borzumati, Christoph Greub, Youichi Yamada

Research output: Contribution to journalArticle

Abstract

Among the [Formula Presented] contributions to the Wilson coefficients [Formula Presented] and [Formula Presented] relevant for the decay [Formula Presented] those induced by two-loop diagrams with charged-Higgs-boson exchange and squark-gluino corrections are calculated in supersymmetric models at large [Formula Presented] The calculation of the corresponding Feynman integrals is exact, unlike in previous studies that are valid when the typical supersymmetric scale [Formula Presented] is sufficiently larger than the electroweak scale [Formula Presented] and the mass of the charged Higgs boson [Formula Presented] 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 [Formula Presented] 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 [Formula Presented] and/or [Formula Presented] It is found that the zeroth-order approximation works well even for [Formula Presented] provided [Formula Presented] The inclusion of the higher-order terms improves the zeroth-order approximation for [Formula Presented] but it worsens it for [Formula Presented].

Original languageEnglish
Number of pages1
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume69
Issue number5
DOIs
Publication statusPublished - 2004 Jan 1
Externally publishedYes

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Higgs bosons
expansion
approximation
diagrams

ASJC Scopus subject areas

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

Cite this

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title = "Beyond leading-order corrections to [Formula Presented] at large [Formula Presented] The charged-Higgs-boson contribution",
abstract = "Among the [Formula Presented] contributions to the Wilson coefficients [Formula Presented] and [Formula Presented] relevant for the decay [Formula Presented] those induced by two-loop diagrams with charged-Higgs-boson exchange and squark-gluino corrections are calculated in supersymmetric models at large [Formula Presented] The calculation of the corresponding Feynman integrals is exact, unlike in previous studies that are valid when the typical supersymmetric scale [Formula Presented] is sufficiently larger than the electroweak scale [Formula Presented] and the mass of the charged Higgs boson [Formula Presented] 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 [Formula Presented] 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 [Formula Presented] and/or [Formula Presented] It is found that the zeroth-order approximation works well even for [Formula Presented] provided [Formula Presented] The inclusion of the higher-order terms improves the zeroth-order approximation for [Formula Presented] but it worsens it for [Formula Presented].",
author = "Francesca Borzumati and Christoph Greub and Youichi Yamada",
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AB - Among the [Formula Presented] contributions to the Wilson coefficients [Formula Presented] and [Formula Presented] relevant for the decay [Formula Presented] those induced by two-loop diagrams with charged-Higgs-boson exchange and squark-gluino corrections are calculated in supersymmetric models at large [Formula Presented] The calculation of the corresponding Feynman integrals is exact, unlike in previous studies that are valid when the typical supersymmetric scale [Formula Presented] is sufficiently larger than the electroweak scale [Formula Presented] and the mass of the charged Higgs boson [Formula Presented] 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 [Formula Presented] 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 [Formula Presented] and/or [Formula Presented] It is found that the zeroth-order approximation works well even for [Formula Presented] provided [Formula Presented] The inclusion of the higher-order terms improves the zeroth-order approximation for [Formula Presented] but it worsens it for [Formula Presented].

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