B -> d* l nu and b -> d l nu form-factors in staggered chiral perturbation theory

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We calculate the B {yields} D and B {yields} 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 order in the heavy quark expansion and to next-to-leading 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 ... continued below

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19 pages

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Laiho, Jack; Van de Water, Ruth S. & /Fermilab December 1, 2005.

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We calculate the B {yields} D and B {yields} 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 order in the heavy quark expansion and to next-to-leading 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.

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19 pages

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  • Journal Name: Phys.Rev.D73:054501,2006

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  • Report No.: FERMILAB-PUB-05-534-T
  • Grant Number: AC02-76CH03000
  • Office of Scientific & Technical Information Report Number: 879125
  • Archival Resource Key: ark:/67531/metadc879278

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  • December 1, 2005

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  • Sept. 21, 2016, 2:29 a.m.

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  • Nov. 22, 2016, 8:50 p.m.

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Laiho, Jack; Van de Water, Ruth S. & /Fermilab. B -> d* l nu and b -> d l nu form-factors in staggered chiral perturbation theory, article, December 1, 2005; Batavia, Illinois. (digital.library.unt.edu/ark:/67531/metadc879278/: accessed September 21, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.