One-loop matching coefficients for improved staggered bilinears

Lee, Weonjong; Sharpe, Stephen R.

doi:10.1103/physrevd.66.114501

Cited by 43 publications

(51 citation statements)

References 28 publications

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“…(28) are needed here. The chiral perturbation theory devised by Lee and Sharpe [29] has ten additional bilinears, but eight of these are not invariant under doubling transformations for each quark line separately, and two do not involve taste exchange.…”

Section: Appendix F: One Loop Taste-changingmentioning

confidence: 99%

Highly improved staggered quarks on the lattice with applications to charm physics

et al. 2007

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We use perturbative Symanzik improvement to create a new staggered-quark action (HISQ) that has greatly reduced one-loop taste-exchange errors, no tree-level order a 2 errors, and no tree-level order (am) 4 errors to leading order in the quark's velocity v/c. We demonstrate with simulations that the resulting action has taste-exchange interactions that are at least 3-4 times smaller than the widely used ASQTAD action. We show how to estimate errors due to taste exchange by comparing ASQTAD and HISQ simulations, and demonstrate with simulations that such errors are no more than 1% when HISQ is used for light quarks at lattice spacings of 1/10 fm or less. The suppression of (am) 4 errors also makes HISQ the most accurate discretization currently available for simulating c quarks. We demonstrate this in a new analysis of the ψ − ηc mass splitting using the HISQ action on lattices where amc = 0.43 and 0.66, with full-QCD gluon configurations (from MILC). We obtain a result of 111(5) MeV which compares well with experiment. We discuss applications of this formalism to D physics and present our first high-precision results for Ds mesons.

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Section: Appendix F: One Loop Taste-changingmentioning

confidence: 99%

Highly improved staggered quarks on the lattice with applications to charm physics

et al. 2007

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“…[6,10,11,12,13]. Furthermore, many of the additional features introduced by fattening the links have been presented in the calculation of matching factors for bilinears [2,5]. In view of this, we give only a bare-bones summary of the action, operators and Feynman rules, emphasizing those features special to the present calculation.…”

Section: Action Operators and Feynman Rulesmentioning

confidence: 99%

“…The Y i are exactly as given in Ref. [2]: the result depends only on the distance ∆ i of the bilinear and is labelled Y ∆i . The T i and ZT are combined in Ref.…”

Section: Latt Imentioning

confidence: 99%

“…For bilinear operators with HYP links, a further reduction in the size of one-loop matching contributions was achieved using mean-field (or "tadpole") improvement [2]. Mean-field improvement for HYP links is completely analogous to that for the usual links [19], which was implemented for staggered fermions in Refs.…”

Section: Action Operators and Feynman Rulesmentioning

confidence: 99%

“…The T i and ZT are combined in Ref. [2], and given in terms of two quantities T a ∆i and T b ∆i , which also depend only on the distance. The combinations we want are…”

Section: Latt Imentioning

confidence: 99%

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Perturbative matching of staggered four-fermion operators with hypercubic fat links

Lee

Sharpe²

2003

Phys. Rev. D

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We calculate the one-loop matching coefficients between continuum and lattice four-fermion operators for lattice operators constructed using staggered fermions and improved by the use of fattened links. In particular, we consider hypercubic fat links and SU (3) projected Fat-7 links, and their mean-field improved versions. We calculate only current-current diagrams, so that our results apply for operators whose flavor structure does not allow "eye-diagrams". We present general formulae, based on two independent approaches, and give numerical results for the cases in which the operators have the taste (staggered flavor) of the pseudo-Goldstone pion. We find that the one-loop corrections are reduced down to the 10-20% level, resolving the problem of large perturbative corrections for staggered fermion calculations of matrix elements.

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One-loop operator matching in the static heavy and domain-wall light quark system with O(a) improvement

Ishikawa

Aoki

Flynn

et al. 2011

J. High Energ. Phys.

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We discuss perturbative O(g 2 a) matching with static heavy quarks and domain-wall light quarks for lattice operators relevant to B-meson decays and B 0 -B 0 mixing. The chiral symmetry of the light domain-wall quarks does not prohibit operator mixing at O(a) for these operators. The O(a) corrections to physical quantities are non-negligible and must be included to obtain high-precision simulation results for CKM physics. We provide results using plaquette, Symanzik, Iwasaki and DBW2 gluon actions and applying APE, HYP1 and HYP2 link-smearing for the static quark action.

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One-loop matching coefficients for improved staggered bilinears

Cited by 43 publications

References 28 publications

Highly improved staggered quarks on the lattice with applications to charm physics

Highly improved staggered quarks on the lattice with applications to charm physics

Perturbative matching of staggered four-fermion operators with hypercubic fat links

One-loop operator matching in the static heavy and domain-wall light quark system with O(a) improvement

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