B→D*lν and B→Dlν form factors in staggered chiral perturbation theory

John W Laiho, Ruth S Van De Water

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Abstract

We calculate the B→D and B→D* form factors at zero recoil in staggered chiral perturbation theory. We consider heavy-light mesons in which only the light (u, d, or s) quark is staggered; current lattice simulations generally use a highly improved action such as the Fermilab or nonrelativistic QCD action for the heavy (b or c) quark. We work to lowest nontrivial order in the heavy-quark expansion and to one-loop order in the chiral expansion. We present results for a partially quenched theory with three sea quarks in which there are no mass degeneracies (the "1+1+1" theory) and for a partially quenched theory in which the u and d sea quark masses are equal (the "2+1" theory). We also present results for full (2+1) QCD, along with a numerical estimate of the size of staggered discretization errors. Finally, we calculate the finite volume corrections to the form factors and estimate their numerical size in current lattice simulations.

Original languageEnglish (US)
Article number054501
JournalPhysical Review D
Volume73
Issue number5
DOIs
StatePublished - 2006
Externally publishedYes

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ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics
  • Mathematical Physics

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