The rare decay $B \to X_{s}l^{+}l^{-}$ to NNLL precision for arbitrary dilepton invariant mass

We present a new phenomenological analysis of the inclusive rare decay $B \to X_s \ell^+\ell^-$. In particular, we present the first calculation of the NNLL contributions due to the leading two-loop matrix elements, evaluated for arbitrary dilepton invariant mass. This allows to obtain the first NNL...

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Detalles Bibliográficos
Autores principales: Ghinculov, A., Hurth, T., Isidori, G., Yao, Y.P.
Lenguaje:eng
Publicado: 2003
Materias:
Particle Physics - Phenomenology
Acceso en línea:https://dx.doi.org/10.1016/j.nuclphysb.2004.02.028
http://cds.cern.ch/record/691218
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author Ghinculov, A.
Hurth, T.
Isidori, G.
Yao, Y.P.
author_facet Ghinculov, A.
Hurth, T.
Isidori, G.
Yao, Y.P.
author_sort Ghinculov, A.
collection CERN
description We present a new phenomenological analysis of the inclusive rare decay $B \to X_s \ell^+\ell^-$. In particular, we present the first calculation of the NNLL contributions due to the leading two-loop matrix elements, evaluated for arbitrary dilepton invariant mass. This allows to obtain the first NNLL estimates of the dilepton mass spectrum and the lepton forward-backward asymmetry in the high $ M^2_{\ell^+ \ell^-}$ region, and to provide an independent check of previously published results in the low $ M^2_{\ell^+ \ell^-}$ region. The numerical impact of these NNLL corrections in the high-mass region ($ M^2_{\ell^+ \ell^-} > 14.4 GeV^2$) amounts to -13% in the integrated rate, and leads to a reduction of the scale uncertainty to $\pm 3%$. The impact of non-perturbative contributions in this region is also discussed in detail.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2003
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spelling cern-6912182023-03-14T20:00:55Zdoi:10.1016/j.nuclphysb.2004.02.028http://cds.cern.ch/record/691218engGhinculov, A.Hurth, T.Isidori, G.Yao, Y.P.The rare decay $B \to X_{s}l^{+}l^{-}$ to NNLL precision for arbitrary dilepton invariant massParticle Physics - PhenomenologyWe present a new phenomenological analysis of the inclusive rare decay $B \to X_s \ell^+\ell^-$. In particular, we present the first calculation of the NNLL contributions due to the leading two-loop matrix elements, evaluated for arbitrary dilepton invariant mass. This allows to obtain the first NNLL estimates of the dilepton mass spectrum and the lepton forward-backward asymmetry in the high $ M^2_{\ell^+ \ell^-}$ region, and to provide an independent check of previously published results in the low $ M^2_{\ell^+ \ell^-}$ region. The numerical impact of these NNLL corrections in the high-mass region ($ M^2_{\ell^+ \ell^-} > 14.4 GeV^2$) amounts to -13% in the integrated rate, and leads to a reduction of the scale uncertainty to $\pm 3%$. The impact of non-perturbative contributions in this region is also discussed in detail.We present a new phenomenological analysis of the inclusive rare decay $B \to X_s \ell^+\ell^-$. In particular, we present the first calculation of the NNLL contributions due to the leading two-loop matrix elements, evaluated for arbitrary dilepton invariant mass. This allows to obtain the first NNLL estimates of the dilepton mass spectrum and the lepton forward-backward asymmetry in the high $ M^2_{\ell^+ \ell^-}$ region, and to provide an independent check of previously published results in the low $ M^2_{\ell^+ \ell^-}$ region. The numerical impact of these NNLL corrections in the high-mass region ($ M^2_{\ell^+ \ell^-} > 14.4 GeV^2$) amounts to -13% in the integrated rate, and leads to a reduction of the scale uncertainty to $\pm 3%$. The impact of non-perturbative contributions in this region is also discussed in detail.We present a new phenomenological analysis of the inclusive rare decay B → X s ℓ + ℓ − . In particular, we present the first calculation of the NNLL contributions due to the leading two-loop matrix elements, evaluated for arbitrary dilepton invariant mass. This allows to obtain the first NNLL estimates of the dilepton mass spectrum and the lepton forward–backward asymmetry in the high M 2 ℓ + ℓ − region, and to provide an independent check of previously published results in the low M 2 ℓ + ℓ − region. The numerical impact of these NNLL corrections in the high-mass region ( M 2 ℓ + ℓ − >14.4 GeV 2 ) amounts to −13% in the integrated rate, and leads to a reduction of the scale uncertainty to ±3%. The impact of non-perturbative contributions in this region is also discussed in detail.hep-ph/0312128SLAC-PUB-10265CERN-TH-2003-132MCTP-03-54SLAC-PUB-10265CERN-TH-2003-132oai:cds.cern.ch:6912182003-12-09
spellingShingle Particle Physics - Phenomenology
Ghinculov, A.
Hurth, T.
Isidori, G.
Yao, Y.P.
The rare decay $B \to X_{s}l^{+}l^{-}$ to NNLL precision for arbitrary dilepton invariant mass
title The rare decay $B \to X_{s}l^{+}l^{-}$ to NNLL precision for arbitrary dilepton invariant mass
title_full The rare decay $B \to X_{s}l^{+}l^{-}$ to NNLL precision for arbitrary dilepton invariant mass
title_fullStr The rare decay $B \to X_{s}l^{+}l^{-}$ to NNLL precision for arbitrary dilepton invariant mass
title_full_unstemmed The rare decay $B \to X_{s}l^{+}l^{-}$ to NNLL precision for arbitrary dilepton invariant mass
title_short The rare decay $B \to X_{s}l^{+}l^{-}$ to NNLL precision for arbitrary dilepton invariant mass
title_sort rare decay $b \to x_{s}l^{+}l^{-}$ to nnll precision for arbitrary dilepton invariant mass
topic Particle Physics - Phenomenology
url https://dx.doi.org/10.1016/j.nuclphysb.2004.02.028
http://cds.cern.ch/record/691218
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