Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2005-12-06
Phys.Rev.D73:054501,2006
Physics
High Energy Physics
High Energy Physics - Lattice
19 pages, 6 figures, references added, expanded discussion in Section IV
Scientific paper
10.1103/PhysRevD.73.054501
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 NRQCD action for the heavy (b or c) quark. We work to lowest nontrivial order in the heavy quark expansion and to one-loop 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.
de Water Ruth S. Van
Laiho Jack
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