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Lattice study of semileptonic b-decays - (b)over-bar-]dl(nu)over-bar decays

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Lattice study of semileptonic b-decays - (b)over-bar-]dl(nu)over-bar decays

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dc.contributor.author Bowler, Ken C.
dc.contributor.author Hazel, Nick
dc.contributor.author Henty, David S.
dc.contributor.author Hoeber, Henning
dc.contributor.author Lellouch, Laurent
dc.contributor.author Nieves Pamplona, Juan Miguel
dc.contributor.author Sachrajda, Christopher T.
dc.contributor.author Wittig, Hartmut
dc.date.accessioned 2014-10-16T11:42:23Z
dc.date.available 2014-10-16T11:42:23Z
dc.date.issued 1995
dc.identifier.citation Bowler, Ken C. Hazel, Nick Henty, David S. Hoeber, Henning Lellouch, Laurent Nieves Pamplona, Juan Miguel Sachrajda, Christopher T. Wittig, Hartmut 1995 Lattice study of semileptonic b-decays - (b)over-bar-]dl(nu)over-bar decays Physical Review D 52 9 5067 5094
dc.identifier.uri http://hdl.handle.net/10550/39212
dc.description.abstract We present a study of semileptonic ($) over bar B --> Dl ($) over bar v decays in quenched lattice QCD through a calculation of the matrix element [D\($) over bar c gamma(mu)b\($) over bar B] on a 24(3) x 48 lattice at beta = 6.2, using an O(alpha)-improved fermion action. We perform the calculation for several values of the initial and final heavy-quark masses around the charm mass, and three values of the light-(anti)quark mass around the strange mass. Because the charm quark has a bare mass which is almost 1/3 the inverse lattice spacing, we study the ensuing mass-dependent discretization errors, and propose a procedure for subtracting at least some of them nonperturbatively. We extract the form factors h(+) and h(-). After radiation corrections, we find that h(+) displays no dependence on the heavy-quark mass, enabling us to identify it with an Isgur-Wise function xi. Interpolating the light-quack mass to that of the strange, we obtain an Isgur-Wise function relevant for ($) over bar B-s --> D-s*l ($) over bar v decays which has a slope -xi(s)' = 1.2(-2)(+2)(stat)(-1)(+2)(syst) at zero recoil. An extrapolation to a massless light quark enables us to obtain an Isgur-Wise function relevant for ($) over bar B --> D(*)l ($) over bar v decays. This function has a slope -xi(u,d)' = 0.9(-3)(+2)(stat)(-2)(+4)(syst) at zero recoil. We observe a slight decrease in the magnitude of the central value of the slope as the mass of the light quark is reduced; given the errors, however, the significance of this observation is limited. We then use these functions, in conjunction with heavy-quark effective theory, to extract V-cb with no free parameters from the ($) over bar B --> D*l ($) over bar v decay rate measured by the ALEPH, ARGUS, and CLEO Collaborations. Using the CLEO data, for instance, we obtain \V-cb\ = 0.037(-1-2-1)(+1+2+4)(0.99/1 + beta(A1)(1))1/1 + delta(1/mc2) where delta(1/mc2) is the power corrections inversely proportional to the square of the charm quark mass, and beta(A1)(1) is the relevant radiative correction at zero recoil. Here, the first set of errors is experimental, the second represents the statistical error, and the third represents the systematic error in our evaluation of the Isgur-Wise function. We also use our Isgur-Wise functions and heavy-quark effective theory to calculate branching ratios for ($) over bar B-(s) --> D-(s)l ($) over bar v and ($) over bar B-(s) --> D-(s)*l ($) over bar v decays.
dc.language.iso eng
dc.relation.ispartof Physical Review D, 1995, vol. 52, num. 9, p. 5067-5094
dc.subject Física
dc.title Lattice study of semileptonic b-decays - (b)over-bar-]dl(nu)over-bar decays
dc.type journal article es_ES
dc.date.updated 2014-10-16T11:42:23Z
dc.identifier.doi 10.1103/PhysRevD.52.5067
dc.identifier.idgrec 068618
dc.rights.accessRights open access es_ES

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