First Nonperturbative Test of a Relativistic Heavy Quark Action in Quenched Lattice QCD

Abstract

We perform a numerical test of a relativistic heavy quark(RHQ) action, recently proposed by Tsukuba group, in quenched lattice QCD at $a\simeq 0.1$ fm. With the use of the improvement parameters previously determined at one-loop level for the RHQ action, we investigate a restoration of rotational symmetry for heavy-heavy and heavy-light meson systems around the charm quark mass. We focused on two quantities, the meson dispersion relation and the pseudo-scalar meson decay constants. It is shown that the RHQ action significantly reduces the discretization errors due to the charm quark mass. We also calculate the S-state hyperfine splittings for the charmonium and charmed-strange mesons and the $D_s$ meson decay constant. The remaining discretization errors in the physical quantities are discussed.

21 pages, 16 figures. A reference and a comment added, a major modification in appendix, several minor changes in the abstract and the main text. Errors in affiliation are corrected. Version appeared in JHEP

References in corpus (5)

• Improved Measurement of cal{B}(D^+ --> mu^+ nu) and the Pseudoscalar Decay Constant f_{D^+}
• Nonperturbative $O(a)$ improvement of the Wilson quark action with the RG-improved gauge action using the Schrödinger functional method
• Universality and scaling behavior of RG gauge actions
• A Perturbative Determination of Mass Dependent $O(a)$ Improvement Coefficients in a Relativistic Heavy Quark Action
• Perturbative Determination of Mass Dependent $O(a)$ Improvement Coefficients for the Vector and Axial Vector Currents with a Relativistic Heavy Quark Action

Cited by in corpus (15)

• Charm quark system at the physical point of 2+1 flavor lattice QCD
• Charmonium potential from full lattice QCD
• Interquark potential with finite quark mass from lattice QCD
• Charmonium-nucleon potential from lattice QCD
• g(B*Bpi)-coupling in the static heavy quark limit
• Lüscher's finite size method with twisted boundary conditions: an application to $J/\psi$-$\varphi$ system to search for narrow resonance
• Potential description of charmonium and charmed-strange mesons from lattice QCD
• Heavy quarkonium potential from Bethe-Salpeter wave function on the lattice
• Decay constants of charm and beauty pseudoscalar heavy-light mesons on fine lattices
• Bethe-Salpeter wave functions of ${\eta }_c(2S)$ and $\psi (2S)$ states from full lattice QCD
• Potential description of the charmonium from lattice QCD
• A fully non-perturbative charm-quark tuning using machine learning
• Interquark potential for the charmonium system with almost physical quark masses
• Lattice renormalisation of O(a) improved heavy-light operators
• Lattice study of scattering phase shifts for $D{D}^{\ast }$ and $B{B}^{\ast }$ systems using twisted boundary conditions: Search for bound state formation