Next-to-Leading Order QCD Corrections to the Lifetime Difference of $B_s$ Mesons

We compute the QCD corrections to the decay rate difference in the B_s-\bar{B}_s system, \Delta\Gamma_{B_s}, in the next-to-leading logarithmic approximation using the heavy quark expansion approach. Going beyond leading order in QCD is essential to obtain a proper matching of the Wilson coefficient...

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Autores principales: Beneke, M., Buchalla, G., Greub, C., Lenz, A., Nierste, U.
Lenguaje:eng
Publicado: 1998
Materias:
Particle Physics - Phenomenology
Acceso en línea:https://dx.doi.org/10.1016/S0370-2693(99)00684-X
http://cds.cern.ch/record/363011
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author Beneke, M.
Buchalla, G.
Greub, C.
Lenz, A.
Nierste, U.
author_facet Beneke, M.
Buchalla, G.
Greub, C.
Lenz, A.
Nierste, U.
author_sort Beneke, M.
collection CERN
description We compute the QCD corrections to the decay rate difference in the B_s-\bar{B}_s system, \Delta\Gamma_{B_s}, in the next-to-leading logarithmic approximation using the heavy quark expansion approach. Going beyond leading order in QCD is essential to obtain a proper matching of the Wilson coefficients to the matrix elements of local operators from lattice gauge theory. The lifetime difference is reduced considerably at next-to-leading order. We find (\Delta\Gamma/\Gamma)_{B_s}= (f_{B_s}/210 MeV)^2 [0.006 B(m_b)+0.150 B_S(m_b)-0.063]$in terms of the bag parameters B, B_S in the NDR scheme. As a further application of our analysis we also derive the next-to-leading order result for the mixing-induced CP asymmetry in inclusive
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1998
record_format invenio
spelling cern-3630112023-03-12T06:05:39Zdoi:10.1016/S0370-2693(99)00684-Xhttp://cds.cern.ch/record/363011engBeneke, M.Buchalla, G.Greub, C.Lenz, A.Nierste, U.Next-to-Leading Order QCD Corrections to the Lifetime Difference of $B_s$ MesonsParticle Physics - PhenomenologyWe compute the QCD corrections to the decay rate difference in the B_s-\bar{B}_s system, \Delta\Gamma_{B_s}, in the next-to-leading logarithmic approximation using the heavy quark expansion approach. Going beyond leading order in QCD is essential to obtain a proper matching of the Wilson coefficients to the matrix elements of local operators from lattice gauge theory. The lifetime difference is reduced considerably at next-to-leading order. We find (\Delta\Gamma/\Gamma)_{B_s}= (f_{B_s}/210 MeV)^2 [0.006 B(m_b)+0.150 B_S(m_b)-0.063]$in terms of the bag parameters B, B_S in the NDR scheme. As a further application of our analysis we also derive the next-to-leading order result for the mixing-induced CP asymmetry in inclusiveWe compute the QCD corrections to the decay rate difference in the $B_s-\bar B_s$ system, $\Delta\Gamma_{B_s}$, in the next-to-leading logarithmic approximation using the heavy quark expansion approach. Going beyond leading order in QCD is essential to obtain a proper matching of the Wilson coefficients to the matrix elements of local operators from lattice gauge theory. The lifetime difference is reduced considerably at next-to-leading order. We find $(\Delta\Gamma/\Gamma)_{B_s}=(f_{B_s}/210 MeV)^2 [0.006 B(m_b)+0.150 B_S(m_b)-0.063]$ in terms of the bag parameters $B, B_S$ in the NDR scheme. As a further application of our analysis we also derive the next-to-leading order result for the mixing-induced CP asymmetry in inclusive $b\to u\bar ud$ decays, which measures $\sin 2\alpha$.We compute the QCD corrections to the decay rate difference in the $B_s-\bar B_s$ system, $\Delta\Gamma_{B_s}$, in the next-to-leading logarithmic approximation using the heavy quark expansion approach. Going beyond leading order in QCD is essential to obtain a proper matching of the Wilson coefficients to the matrix elements of local operators from lattice gauge theory. The lifetime difference is reduced considerably at next-to-leading order. We find $(\Delta\Gamma/\Gamma)_{B_s}=(f_{B_s}/210 MeV)^2 [0.006 B(m_b)+0.150 B_S(m_b)-0.063]$ in terms of the bag parameters $B, B_S$ in the NDR scheme. As a further application of our analysis we also derive the next-to-leading order result for the mixing-induced CP asymmetry in inclusive $b\to u\bar ud$ decays, which measures $\sin 2\alpha$.We compute the QCD corrections to the decay rate difference in the $B_s-\bar B_s$ system, $\Delta\Gamma_{B_s}$, in the next-to-leading logarithmic approximation using the heavy quark expansion approach. Going beyond leading order in QCD is essential to obtain a proper matching of the Wilson coefficients to the matrix elements of local operators from lattice gauge theory. The lifetime difference is reduced considerably at next-to-leading order. We find $(\Delta\Gamma/\Gamma)_{B_s}=(f_{B_s}/210 MeV)^2 [0.006 B(m_b)+0.150 B_S(m_b)-0.063]$ in terms of the bag parameters $B, B_S$ in the NDR scheme. As a further application of our analysis we also derive the next-to-leading order result for the mixing-induced CP asymmetry in inclusive $b\to u\bar ud$ decays, which measures $\sin 2\alpha$.We compute the QCD corrections to the decay rate difference in the B s – B ̄ s system, Δ Γ B s , in the next-to-leading logarithmic approximation using the heavy quark expansion approach. Going beyond leading order in QCD is essential to obtain a proper matching of the Wilson coefficients to the matrix elements of local operators from lattice gauge theory. The lifetime difference is reduced considerably at next-to-leading order. We find ( Δ Γ/Γ) B s =(f B s /210 MeV ) 2 [0.006B(m b )+0.150B S (m b )−0.063] in terms of the bag parameters B , B S in the NDR scheme. As a further application of our analysis we also derive the next-to-leading order result for the mixing-induced CP asymmetry in inclusive b→u u ̄ d decays, which measures sin2 α .hep-ph/9808385CERN-TH-98-261BUTP-98-20MPI-PHT-98-58DESY-98-101BUTP-98-20CERN-TH-98-261DESY-98-101MPI-PHT-98-58oai:cds.cern.ch:3630111998-08-25
spellingShingle Particle Physics - Phenomenology
Beneke, M.
Buchalla, G.
Greub, C.
Lenz, A.
Nierste, U.
Next-to-Leading Order QCD Corrections to the Lifetime Difference of $B_s$ Mesons
title Next-to-Leading Order QCD Corrections to the Lifetime Difference of $B_s$ Mesons
title_full Next-to-Leading Order QCD Corrections to the Lifetime Difference of $B_s$ Mesons
title_fullStr Next-to-Leading Order QCD Corrections to the Lifetime Difference of $B_s$ Mesons
title_full_unstemmed Next-to-Leading Order QCD Corrections to the Lifetime Difference of $B_s$ Mesons
title_short Next-to-Leading Order QCD Corrections to the Lifetime Difference of $B_s$ Mesons
title_sort next-to-leading order qcd corrections to the lifetime difference of $b_s$ mesons
topic Particle Physics - Phenomenology
url https://dx.doi.org/10.1016/S0370-2693(99)00684-X
http://cds.cern.ch/record/363011
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AT buchallag nexttoleadingorderqcdcorrectionstothelifetimedifferenceofbsmesons
AT greubc nexttoleadingorderqcdcorrectionstothelifetimedifferenceofbsmesons
AT lenza nexttoleadingorderqcdcorrectionstothelifetimedifferenceofbsmesons
AT niersteu nexttoleadingorderqcdcorrectionstothelifetimedifferenceofbsmesons

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