arXiv:1211.1390·v1·High Energy Physics — Lattice
Form factors for semi-leptonic B decays
Ran Zhou (1)🇺🇸 · Steven Gottlieb (1)🇺🇸 · Jon A. Bailey (2)🇰🇷 · Daping Du (3)🇺🇸 · Aida X. El-Khadra (3)🇺🇸 · R.D. Jain (3)🇺🇸 · Andreas S. Kronfeld (4)🇺🇸 · Ruth S. Van de Water (4)🇺🇸 · Yuzhi Liu (5)🇺🇸 · Yannick Meurice (5) (for the Fermilab Lattice and MILC Collaborations) ((1) Indiana University, (2) Seoul National University, (3) University of Illinois, (4) Fermi National Accelerator Laboratory, (5) University of Iowa)🇺🇸
Abstract
We report on form factors for the B->K l^+ l^- semi-leptonic decay process. We use several lattice spacings from a=0.12 fm down to 0.06 fm and a variety of dynamical quark masses with 2+1 flavors of asqtad quarks provided by the MILC Collaboration. These ensembles allow good control of the chiral and continuum extrapolations. The b-quark is treated as a clover quark with the Fermilab interpretation. We update our results for f_\parallel and f_\perp, or, equivalently, f_+ and f_0. In addition, we present new results for the tensor form factor f_T. Model independent results are obtained based upon the z-expansion.
Comments: 7 pages, 4 figures, presented at The XXXth International Symposium on Lattice Field Theory - Lattice 2012, June 24-29, 2012 Cairns, Australia, to appear as PoS(Lattice 2012)120