Matching lattice and continuum axial-vector and vector currents with NRQCD and HISQ quarks

Abstract

We match the continuum and lattice axial vector and vector currents at one loop in perturbation theory. For the heavy quarks we use the nonrelativistic QCD (NRQCD) action and for the light quarks the Highly Improved Staggered Quark (HISQ) action. We present results for both massless and massive HISQ quarks and as part of the matching procedure we include a discussion of the one loop HISQ renormalisation parameters.

arXiv comment17 pages, 3 figures. References updated, minor typos corrected and data added to Tables V, VI and VII. Version to appear in Phys. Rev. D

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Cited by in corpus (30)

• FLAG Review 2019
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• B-meson decay constants from improved lattice NRQCD and physical u, d, s and c sea quarks
• Neutral B-meson mixing from full lattice QCD at the physical point
• B-meson decay constants: a more complete picture from full lattice QCD
• Rare decay B -> K ll form factors from lattice QCD
• Standard Model predictions for B -> Kll with form factors from lattice QCD
• $B_s\to K\ell \nu$ form factors from lattice QCD
• $B_s\to D_s\ell \nu$ Form Factors for the full $q^2$ range from Lattice QCD with non-perturbatively normalized currents
• $B\to K$ and $D\to K$ form factors from fully relativistic lattice QCD
• Charmonium properties from lattice QCD + QED: hyperfine splitting, $J/\psi$ leptonic width, charm quark mass and $a_{\mu }^c$
• Lattice QCD calculation of the $B_{(s)}\to D_{(s)}^{\ast }\ell \nu$ form factors at zero recoil and implications for $|V_{cb}|$
• New methods for B meson decay constants and form factors from lattice NRQCD
• Challenges in Semileptonic B Decays
• $B_c\to J/\psi$ Form Factors for the full $q^2$ range from Lattice QCD
• Lattice QCD form factor for $B_s\to D_s^{\ast }l\nu$ at zero recoil with non-perturbative current renormalisation
• $B_s\to D_s\ell \nu$ Form Factors and the Fragmentation Fraction Ratio $f_s/f_d$
• $B\to \pi \ell \nu$ at zero recoil from lattice QCD with physical $u/d$ quarks
• D-meson semileptonic decays to pseudoscalars from four-flavor lattice QCD
• Improved $V_{cs}$ determination using precise lattice QCD form factors for $D\to K\ell \nu$
• $B_s\to D_s^{\ast }$ Form Factors for the full $q^2$ range from Lattice QCD
• Precise determination of decay rates for ${\eta }_c\to \gamma \gamma$, $J/\psi \to \gamma {\eta }_c$ and $J/\psi \to {\eta }_c{e}^{+}{e}^{-}$ from lattice QCD
• Nonperturbative comparison of clover and HISQ quarks in lattice QCD and the properties of the phi meson
• Form factor ratios for $B_s\to K\ell \nu$ and $B_s\to D_s\ell \nu$ semileptonic decays and $|V_{ub}/V_{cb}|$
• Toward accurate form factors for $B$-to-light meson decay from lattice QCD
• Matching lattice and continuum four-fermion operators with nonrelativistic QCD and highly improved staggered quarks
• B and Bs semileptonic decay form factors with NRQCD/HISQ quarks
• $B_c$ decays from highly improved staggered quarks and NRQCD
• Constraints on axion-like particles using lattice QCD calculations of the rate for $J/\psi \to \gamma a$
• B, Bs, K and pi weak matrix elements with physical light quarks