Renormalization of domain-wall bilinear operators with short-distance current correlators

Tomii, Masaaki; Cossu, Guido; Fahy, Brendan; Fukaya, Hidenori; Hashimoto, S.; Kaneko, T.; Noaki, J.

doi:10.1103/physrevd.94.054504

Cited by 31 publications

(49 citation statements)

References 37 publications

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“…We remark that unlike in determinations of the renormalization constants [29][30][31], as long as 2 is within the above window, no knowledge on the functional form of ( ) is required to extract and˜. Moreover, short-distance lattice artefacts are much reduced within the above ratio.…”

Section: B Description Of the Methodsmentioning

confidence: 99%

Non-perturbative determination of improvement coefficients using coordinate space correlators in Nf=2+1 lattice QCD

Korcyl¹,

Bali²

2016

Proceedings of 34th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2016)

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We determine quark mass dependent order improvement terms of the form for nonsinglet scalar, pseudoscalar, vector and axialvector currents using correlators in coordinate space on a set of CLS ensembles. These have been generated employing non-perturbatively improved Wilson Fermions and the tree-level Lüscher-Weisz gauge action at = 3.4, 3.46, 3.55 and 3.7, corresponding to lattice spacings ranging from ≈ 0.085 fm down to 0.05 fm. In the = 2 + 1 flavour theory two types of improvement coefficients exist:, proportional to non-singlet quark mass combinations, and¯(or˜), proportional to the trace of the quark mass matrix. Combining our non-perturbative determinations with perturbative results, we quote Padé approximants parameterizing the improvement coefficients within the above window of lattice spacings. We also give preliminary results for˜at = 3.4.

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Section: B Description Of the Methodsmentioning

confidence: 99%

Non-perturbative determination of improvement coefficients using coordinate space correlators in Nf=2+1 lattice QCD

Korcyl¹,

Bali²

2016

Proceedings of 34th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2016)

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“…The spectral density observed on the lattice are multiplied by the renormalization factor Z S (2 GeV) to convert the results to those definition in the MS scheme. The renormalization factors are independently calculated in [8].…”

Section: Lattice Results and Chiral Fitsmentioning

confidence: 99%

“…Details of the lattice parameters are in [5], where a full description of this work is available. The same set of lattice ensembles is also used for calculations of other physical quantities such as the η meson mass [6], charm quark mass [7], short-distance current correlator [8,9], as well as heavy-light meson decay constants [10] and semileptonic decay form factors [11].…”

Section: Introductionmentioning

confidence: 99%

Determination of chiral condensate from low-lying eigenmodes of Mobius domain-wall Dirac operator

Cossu¹,

Fukaya²,

Hashimoto³

et al. 2017

Proceedings of 34th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2016)

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We calculate the spectral function of the Mobius domain-wall Dirac operator utilizing a stochastic eigenvalue counting technique. From the low-end of the spectrum we extract the chiral condensate in 2+1-flavor QCD, and take the chiral and continuum limits. Lattice ensembles are those generated with Mobius domain-wall fermions at a ∼ 0.080, 0.055 and 0.044 fm.34th annual International Symposium on Lattice Field Theory

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“…In principle, it is the same as that for the light-to-light renormalisation factor Z ll previously determined in [14]. In order to eliminate possible discretisation effects for large m h a, however, we adopt an improved estimate Z bl = √ Z bb Z ll determined nonperturbatively by demanding the matrix element B|V|B = 1.…”

Section: Correlator Fitsmentioning

confidence: 99%

B → πlv with Möbius Domain Wall Fermions

2018

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Abstract. We report on the status of our calculation of the exclusive semileptonic decay, B → π ν; a key process in the determination of the CKM matrix element |V ub |. The Möbius domain wall action is used for both light and heavy quarks on gauge ensembles that include the effects of 2 + 1 flavours of quarks in the sea at three values of the lattice spacing: a ≈ 0.08 fm, a ≈ 0.055 fm, and a ≈ 0.044 fm. Pion masses go down to 300 MeV while heavy quarks masses are as large as 2.44m c . We present preliminary results of form factors from this process, showing dependence on momentum transfer, lattice spacing, and the heavy quark mass.

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Renormalization of domain-wall bilinear operators with short-distance current correlators

Cited by 31 publications

References 37 publications

Non-perturbative determination of improvement coefficients using coordinate space correlators in Nf=2+1 lattice QCD

Non-perturbative determination of improvement coefficients using coordinate space correlators in Nf=2+1 lattice QCD

Determination of chiral condensate from low-lying eigenmodes of Mobius domain-wall Dirac operator

B → πlv with Möbius Domain Wall Fermions

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