Logarithmically enhanced corrections to the decayrate and forward backward asymmetry in \bar B to \ell^+ \ell^-

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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 {bar B} {yields} X{sub s}{ell}{sup +}{ell}{sup -}. 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 ... continued below

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26 pages

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Huber, Tobias; Hurth, Tobias & Lunghi, Enrico January 9, 2008.

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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 {bar B} {yields} X{sub s}{ell}{sup +}{ell}{sup -}. 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 flavor physics with a theoretical uncertainty of order 5%. We find (q{sub 0}{sup 2}){mu}{mu} = (3.50 {+-} 0.12)GeV{sup 2}. For the high dilepton invariant mass region, we have {Beta}({bar B} {yields} X{sub s}{mu}{mu}){sub high} = (2.40{sub -0.62}{sup +0.69}) x 10{sup -7}. The dominant uncertainty is due to the 1/m{sub b} 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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26 pages

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  • Journal Name: Nuclear Physics B

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  • Report No.: SLAC-PUB-12859
  • Grant Number: AC02-76SF00515
  • Office of Scientific & Technical Information Report Number: 922212
  • Archival Resource Key: ark:/67531/metadc897007

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

Office of Scientific and Technical Information (OSTI) is the Department of Energy (DOE) office that collects, preserves, and disseminates DOE-sponsored research and development (R&D) results that are the outcomes of R&D projects or other funded activities at DOE labs and facilities nationwide and grantees at universities and other institutions.

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  • January 9, 2008

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  • Sept. 27, 2016, 1:39 a.m.

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  • Dec. 9, 2016, 6:35 p.m.

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Huber, Tobias; Hurth, Tobias & Lunghi, Enrico. Logarithmically enhanced corrections to the decayrate and forward backward asymmetry in \bar B to \ell^+ \ell^-, article, January 9, 2008; [Menlo Park, California]. (digital.library.unt.edu/ark:/67531/metadc897007/: accessed October 17, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.