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Quark mass effects in $\overline{B} \to X_{s \gamma}$
The charm-loop contribution to B -> Xs gamma is found to be numerically dominant and very stable under logarithmic QCD corrections. The strong enhancement of the branching ratio by QCD logarithms is mainly due to the b-quark mass evolution in the top-quark sector. These observations allow us to a...
Autores principales: | , |
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Lenguaje: | eng |
Publicado: |
2001
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Materias: | |
Acceso en línea: | https://dx.doi.org/10.1016/S0550-3213(01)00347-9 http://cds.cern.ch/record/493977 |
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author | Gambino, Paolo Misiak, Mikolaj |
author_facet | Gambino, Paolo Misiak, Mikolaj |
author_sort | Gambino, Paolo |
collection | CERN |
description | The charm-loop contribution to B -> Xs gamma is found to be numerically dominant and very stable under logarithmic QCD corrections. The strong enhancement of the branching ratio by QCD logarithms is mainly due to the b-quark mass evolution in the top-quark sector. These observations allow us to achieve better control over residual scale dependence at the next-to-leading order. Furthermore, we observe that the sensitivity of the matrix element < Xs gamma | (sc)_(V-A)(cb)_(V-A) | b > to mc/mb is the source of a sizeable uncertainty that has not been properly taken into account in previous analyses. Replacing mc^pole/mb^pole in this matrix element by the more appropriate mc(mu)/mb^pole with mc < mu < mb causes an 11% enhancement of the SM prediction for BR[B -> Xs gamma]. For E_gamma > 1.6 GeV in the B-meson rest frame, we find BR[ B -> Xs gamma]_{E_gamma > 1.6 GeV} = (3.60 +_ 0.30) * 10^-4. The difference between our result and the current experimental world average is consistent with zero at the level of 1.6sigma. We also discuss the implementation of new physics effects in our calculation. The lower bound on the charged Higgs boson mass in 2HDM(II) is found the be higher than 450 GeV. |
id | cern-493977 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2001 |
record_format | invenio |
spelling | cern-4939772023-03-14T20:12:39Zdoi:10.1016/S0550-3213(01)00347-9http://cds.cern.ch/record/493977engGambino, PaoloMisiak, MikolajQuark mass effects in $\overline{B} \to X_{s \gamma}$Particle Physics - PhenomenologyThe charm-loop contribution to B -> Xs gamma is found to be numerically dominant and very stable under logarithmic QCD corrections. The strong enhancement of the branching ratio by QCD logarithms is mainly due to the b-quark mass evolution in the top-quark sector. These observations allow us to achieve better control over residual scale dependence at the next-to-leading order. Furthermore, we observe that the sensitivity of the matrix element < Xs gamma | (sc)_(V-A)(cb)_(V-A) | b > to mc/mb is the source of a sizeable uncertainty that has not been properly taken into account in previous analyses. Replacing mc^pole/mb^pole in this matrix element by the more appropriate mc(mu)/mb^pole with mc < mu < mb causes an 11% enhancement of the SM prediction for BR[B -> Xs gamma]. For E_gamma > 1.6 GeV in the B-meson rest frame, we find BR[ B -> Xs gamma]_{E_gamma > 1.6 GeV} = (3.60 +_ 0.30) * 10^-4. The difference between our result and the current experimental world average is consistent with zero at the level of 1.6sigma. We also discuss the implementation of new physics effects in our calculation. The lower bound on the charged Higgs boson mass in 2HDM(II) is found the be higher than 450 GeV.The charm-loop contribution to B ̄ →X s γ is found to be numerically dominant and very stable under logarithmic QCD corrections. The strong enhancement of the branching ratio by QCD logarithms is mainly due to the b -quark mass evolution in the top-quark sector. These observations allow us to achieve better control over residual scale-dependence at the next-to-leading order. Furthermore, we observe that the sensitivity of the matrix element 〈X s γ|( s ̄ c) V−A ( c ̄ b) V−A |b〉 to m c / m b is the source of a sizeable uncertainty that has not been properly taken into account in previous analyses. Replacing m c pole / m b pole in this matrix element by the more appropriate m c MS (μ)/m b pole with μ ∈[ m c , m b ] causes an 11% enhancement of the SM prediction for BR [ B ̄ →X s γ] . For E γ >1.6 GeV in the B̄ -meson rest frame, we find BR [ B ̄ →X s γ] E γ >1.6 GeV =(3.60±0.30)×10 −4 . The difference between our result and the current experimental world average is consistent with zero at the level of 1.6 σ . We also discuss the implementation of new physics effects in our calculation. The Two-Higgs-Doublet-Model II with a charged Higgs boson lighter than 450 GeV is found to be strongly disfavoured.The charm-loop contribution to B -> Xs gamma is found to be numerically dominant and very stable under logarithmic QCD corrections. The strong enhancement of the branching ratio by QCD logarithms is mainly due to the b-quark mass evolution in the top-quark sector. These observations allow us to achieve better control over residual scale dependence at the next-to-leading order. Furthermore, we observe that the sensitivity of the matrix element < Xs gamma | (sc)_(V-A)(cb)_(V-A) | b > to mc/mb is the source of a sizeable uncertainty that has not been properly taken into account in previous analyses. Replacing mc^pole/mb^pole in this matrix element by the more appropriate mc(mu)/mb^pole with mc < mu < mb causes an 11% enhancement of the SM prediction for BR[B -> Xs gamma]. For E_gamma > 1.6 GeV in the B-meson rest frame, we find BR[ B -> Xs gamma]_{E_gamma > 1.6 GeV} = (3.60 +_ 0.30) * 10^-4. The difference between our result and the current experimental world average is consistent with zero at the level of 1 sigma. We also discuss the implementation of new physics effects in our calculation. The lower bound on the charged Higgs boson mass in 2HDM(II) is found the be higher than 350 GeV.hep-ph/0104034CERN-TH-2001-089IFT-11-2001CERN-TH-2001-089IFT-2001-11oai:cds.cern.ch:4939772001-04-03 |
spellingShingle | Particle Physics - Phenomenology Gambino, Paolo Misiak, Mikolaj Quark mass effects in $\overline{B} \to X_{s \gamma}$ |
title | Quark mass effects in $\overline{B} \to X_{s \gamma}$ |
title_full | Quark mass effects in $\overline{B} \to X_{s \gamma}$ |
title_fullStr | Quark mass effects in $\overline{B} \to X_{s \gamma}$ |
title_full_unstemmed | Quark mass effects in $\overline{B} \to X_{s \gamma}$ |
title_short | Quark mass effects in $\overline{B} \to X_{s \gamma}$ |
title_sort | quark mass effects in $\overline{b} \to x_{s \gamma}$ |
topic | Particle Physics - Phenomenology |
url | https://dx.doi.org/10.1016/S0550-3213(01)00347-9 http://cds.cern.ch/record/493977 |
work_keys_str_mv | AT gambinopaolo quarkmasseffectsinoverlinebtoxsgamma AT misiakmikolaj quarkmasseffectsinoverlinebtoxsgamma |