Perturbative determination of mass dependent O(a) improvement coefficients for the vector and axial vector currents with a relativistic heavy quark action

Aoki, Sinya; Kayaba, Yasuhisa; Kuramashi, Y.

doi:10.1016/j.nuclphysb.2004.04.009

Cited by 24 publications

(34 citation statements)

References 13 publications

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“…[333]) is fixed non-perturbatively to obtain the continuum dispersion relation for the spin-averaged charmonium 1S states (such that M 1 = M 2 ). For the renormalisation and improvement coefficients of weak current operators, the contributions in the chiral limit are obtained nonperturbatively [21,667], while the mass-dependent contributions are estimated using one-loop lattice perturbation theory [668]. With these choices, lattice cutoff effects from the action and operators are of O(α 2 s a| p|, (a| p h |) 2 ).…”

Section: Relativistic Heavy Quarksmentioning

confidence: 99%

Review of lattice results concerning low-energy particle physics

et al. 2011

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We review lattice results related to pion, kaon, D-and B-meson physics with the aim of making them easily accessible to the particle-physics community. More specifically, we report on the determination of the lightquark masses, the form factor f + (0), arising in semileptonic K → π transition at zero momentum transfer, as well as the decay-constant ratio f K / f π of decay constants and its consequences for the CKM matrix elements V us and V ud . Furthermore, we describe the results obtained on the lattice for some of the low-energy constants of SU(2) L × SU(2) R and SU(3) L ×SU(3) R Chiral Perturbation Theory and review the determination of the B K parameter of neutral kaon mixa e-mail: gilberto@itp.unibe.ch ing. The inclusion of heavy-quark quantities significantly expands the FLAG scope with respect to the previous review. Therefore, we focus here on D-and B-meson decay constants, form factors, and mixing parameters, since these are most relevant for the determination of CKM matrix elements and the global CKM unitarity-triangle fit. In addition we review the status of lattice determinations of the strong coupling constant α s .

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Section: Relativistic Heavy Quarksmentioning

confidence: 99%

Review of lattice results concerning low-energy particle physics

et al. 2011

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“…where |P S is the pseudoscalar meson state and ∂ ± is the lattice forward and backward derivative. For the renormalization factor Z A 4 and the improvement coefficients of the axial current c + A 4 and c − A 4 , we employ one-loop perturbation theory to evaluate the mass-dependent contributions [13], adding the nonperturbative contributions in the chiral limit by…”

Section: Set Upmentioning

confidence: 99%

Charm quark system on the physical point in 2+1 flavor lattice QCD

Namekawa¹

2012

Proceedings of XXIX International Symposium on Lattice Field Theory — PoS(Lattice 2011)

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We investigate the charm quark system using the relativistic heavy quark action on 2+1 flavor PACS-CS configurations previously generated on 32 3 × 64 lattice. The dynamical up-down and strange quark masses are set to the physical values by using the technique of reweighting to shift the quark hopping parameters from the values employed in the configuration generation. At the physical point, the lattice spacing equals a −1 = 2.194(10) GeV and the spatial extent L = 2.88(1) fm. The charm quark mass is determined by the spin-averaged mass of the 1S charmonium state, from which we obtain m MS charm (µ = m MS charm ) = 1.260(1)(6)(35) GeV, where the errors are due to our statistics, scale determination and renormalization factor. An additional systematic error from the heavy quark is of order α 2 s f (m Q a)(aΛ QCD ), which is estimated to be a percent level if the factor f (m Q a) analytic in m Q a is of order unity. Our results for the charmed and charmed-strange meson decay constants are f D = 226(6)(1)(5) MeV, f Ds = 257(2)(1)(5) MeV, again up to the heavy quark errors of order α 2 s f (m Q a)(aΛ QCD ). Combined with the CLEO values for the leptonic decay widths, these values yield |V cd | = 0.205(6)(1)(5)(9), |V cs | = 1.00 (1)(1)(3)(3), where the last error is on account of the experimental uncertainty of the decay widths.1 |V cs | is hard to be estimated from neutrino and anti-neutrino experiments, |V cs | = 0.94 +0.32 −0.26 ± 0.13 [1].

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“…For the renormalization factor and the improvement coefficients of the axial current, we employ one-loop perturbative values [11]. Furthermore, the nonperturbative contribution at the massless limit is incorporated to the improvement coefficient c…”

Section: Pos(lat2009)111mentioning

confidence: 99%

Heavy-light mesons in 2+1 flavor lattice QCD

Namekawa¹

2010

Proceedings of the XXVII International Symposium on Lattice Field Theory — PoS(LAT2009)

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Heavy-light meson system is investigated using the relativistic heavy quark action on the 2+1 dynamical flavor PACS-CS configurations at the lattice spacing a −1 = 2.2 GeV and the spatial extent L = 3 fm. Dynamical up-down and strange quark masses as well as the valence charm quark mass are set around their physical values. We measure the charm-ud and charm-strange meson masses and decay constants. Our results are consistent with the experimental values except the hyperfine splitting of the charm-strange meson. We also estimate the CKM matrix elements in the second row.

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Perturbative determination of mass dependent O(a) improvement coefficients for the vector and axial vector currents with a relativistic heavy quark action

Cited by 24 publications

References 13 publications

Review of lattice results concerning low-energy particle physics

Review of lattice results concerning low-energy particle physics

Charm quark system on the physical point in 2+1 flavor lattice QCD

Heavy-light mesons in 2+1 flavor lattice QCD

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