Chiral Perturbation Theory for All-Staggered Heavy-Light Mesons

Abstract

In highly improved staggered quark (HISQ) simulations by the HPQCD, MILC, and Fermilab Lattice collaborations, both the light quarks and the charm quark are staggered. We extend chiral perturbation theory for staggered quarks 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. We develop this effective chiral theory through next-to-leading order, and use it to study the pattern of taste splittings in the heavy-light meson and to compute the leptonic decay constant of the heavy-light meson to one-loop in the chiral expansion.

References in corpus (10)

• Highly Improved Staggered Quarks on the Lattice, with Applications to Charm Physics
• Lattice QCD ensembles with four flavors of highly improved staggered quarks
• High Precision determination of the pi, K, D and D_s decay constants from lattice QCD
• Scaling studies of QCD with the dynamical HISQ action
• Staggered Chiral Perturbation Theory and the Fourth-Root Trick
• Observations on staggered fermions at non-zero lattice spacing
• Renormalization-group analysis of the validity of staggered-fermion QCD with the fourth-root recipe
• Effective field theories for QCD with rooted staggered fermions
• Tuning Fermilab Heavy Quarks in 2+1 Flavor Lattice QCD with Application to Hyperfine Splittings
• Heavy-Light Semileptonic Decays in Staggered Chiral Perturbation Theory

Cited by in corpus (15)

• FLAG Review 2019
• $B$- and $D$-meson leptonic decay constants from four-flavor lattice QCD
• Charmed and light pseudoscalar meson decay constants from four-flavor lattice QCD with physical light quarks
• Up-, down-, strange-, charm-, and bottom-quark masses from four-flavor lattice QCD
• Relations between Heavy-light Meson and Quark Masses
• D-meson semileptonic decays to pseudoscalars from four-flavor lattice QCD
• Effects of non-equilibrated topological charge distributions on pseudoscalar meson masses and decay constants
• Strong coupling constant and quark masses from lattice QCD
• Baryon chiral perturbation theory with Wilson fermions up to $\mathcal{O}(a^2)$ and discretization effects of latest $n_f=2+1$ LQCD octet baryon masses
• B- and D-meson leptonic decay constants and quark masses from four-flavor lattice QCD
• Charmed and light pseudoscalar meson decay constants from HISQ simulations
• Decay constants $f_B$ and $f_{B_s}$ and quark masses $m_b$ and $m_c$ from HISQ simulations
• Effective Field Theories and Lattice QCD
• Quark Flavor Physics Review
• Decay constants $f_B$ and $f_{B_s}$ from HISQ simulations