Staggered Chiral Perturbation Theory for All-Staggered Heavy-Light Mesons

Abstract

In HISQ simulations by the MILC and Fermilab Lattice collaborations, both the light quarks and the charm quark are staggered. We extend staggered chiral perturbation theory (\schpt) to include such all-staggered heavy-light mesons. We assume that the heavy quark action is sufficiently improved that we may take $a{m}_Q<<1$ (where $m_Q$ is the heavy quark mass), but also that $m_Q>>{\Lambda }_{QCD}$ so that a continuum heavy quark expansion is appropriate. Using this \schpt, the leptonic decay constant of the heavy-light meson is calculated at next-to-leading-order. The pattern of taste splittings in the heavy-light meson masses is also investigated.

arXiv comment7 pages, 1 figures, 2 tables. Proceedings of the 30th International Symposium on Lattice Field Theory - Lattice 2012; June 24-29, 2012; Cairns, Australia

References in corpus (5)

• High Precision determination of the pi, K, D and D_s decay constants from lattice QCD
• Pion and Kaon masses in Staggered Chiral Perturbation Theory
• Partial Flavor Symmetry Restoration for Chiral Staggered Fermions
• Pseudoscalar Decay Constants in Staggered Chiral Perturbation Theory
• Staggered Chiral Perturbation Theory for Heavy-Light Mesons

Cited by in corpus (3)

• Lattice QCD ensembles with four flavors of highly improved staggered quarks
• Charmed and light pseudoscalar meson decay constants from HISQ simulations
• Effective Field Theories and Lattice QCD