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Logarithmically enhanced corrections to the decay rate and forward–backward asymmetry in B¯→Xsℓ+ℓ−


Huber, T; Hurth, T; Lunghi, E (2008). Logarithmically enhanced corrections to the decay rate and forward–backward asymmetry in B¯→Xsℓ+ℓ−. Nuclear Physics B, 802(1-2):40-62.

Abstract

We study logarithmically enhanced electromagnetic corrections to the decay rate in the high dilepton invariant mass region as well as corrections to the forward–backward asymmetry (FBA) of the inclusive rare decay View the MathML source. As expected, the relative effect of these corrections in the high dilepton mass region is around −8% for the muonic final state and therefore much larger than in the low dilepton mass region. We also present a complete phenomenological analysis, to improved NNLO accuracy, of the dilepton mass spectrum and the FBA integrated in the low dilepton mass region, including a new approach to the zero of the FBA. The latter represents one of the most precise predictions in flavour physics with a theoretical uncertainty of order 5%. We find View the MathML source. For the high dilepton invariant mass region, we have View the MathML source. The dominant uncertainty is due to the 1/mb corrections and can be significantly reduced in the future. For the low dilepton invariant mass region, we confirm previous results up to small corrections.

We study logarithmically enhanced electromagnetic corrections to the decay rate in the high dilepton invariant mass region as well as corrections to the forward–backward asymmetry (FBA) of the inclusive rare decay View the MathML source. As expected, the relative effect of these corrections in the high dilepton mass region is around −8% for the muonic final state and therefore much larger than in the low dilepton mass region. We also present a complete phenomenological analysis, to improved NNLO accuracy, of the dilepton mass spectrum and the FBA integrated in the low dilepton mass region, including a new approach to the zero of the FBA. The latter represents one of the most precise predictions in flavour physics with a theoretical uncertainty of order 5%. We find View the MathML source. For the high dilepton invariant mass region, we have View the MathML source. The dominant uncertainty is due to the 1/mb corrections and can be significantly reduced in the future. For the low dilepton invariant mass region, we confirm previous results up to small corrections.

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Additional indexing

Other titles:Logarithmically enhanced corrections to the decay rate and forward backward asymmetry in anti-B --> X(s) l+ l-
Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute for Computational Science
Dewey Decimal Classification:530 Physics
Language:English
Date:October 2008
Deposited On:06 Mar 2009 10:46
Last Modified:05 Apr 2016 13:06
Publisher:Elsevier
ISSN:0550-3213
Publisher DOI:10.1016/j.nuclphysb.2008.04.028
Related URLs:http://arxiv.org/abs/0712.3009
Permanent URL: http://doi.org/10.5167/uzh-16512

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