Step-scaling with off-shell renormalization

Arthur, Rangel; Boyle, Peter A.

doi:10.1103/physrevd.83.114511

Cited by 74 publications

(74 citation statements)

References 44 publications

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“…This is similar to the step-scaling ideas introduced in [55,56] with a somewhat different focus. 3 Through this procedure we obtain fully nonperturbatively renormalized quark masses in the RI/MOM scheme at µ ′ = 4 GeV, which represent our main result.…”

Section: Jhep08(2011)148supporting

confidence: 61%

Lattice QCD at the physical point: simulation and analysis details

Dürr

Fodor

Hoelbling

et al. 2011

J. High Energ. Phys.

144

170

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We give details of our precise determination of the light quark masses m ud = (m u +m d )/2 and m s in 2+1 flavor QCD, with simulated pion masses down to 120 MeV, at five lattice spacings, and in large volumes. The details concern the action and algorithm employed, the HMC force with HEX smeared clover fermions, the choice of the scale setting procedure and of the input masses. After an overview of the simulation parameters, extensive checks of algorithmic stability, autocorrelation and (practical) ergodicity are reported. To corroborate the good scaling properties of our action, explicit tests of the scaling of hadron masses in N f = 3 QCD are carried out. Details of how we control finite volume effects through dedicated finite volume scaling runs are reported. To check consistency with SU(2) Chiral Perturbation Theory the behavior of M 2 π /m ud and F π as a function of m ud is investigated. Details of how we use the RI/MOM procedure with a separate continuum limit of the running of the scalar density R S (µ, µ ′ ) are given. This procedure is shown to reproduce the known value of r 0 m s in quenched QCD. Input from dispersion theory is used to split our value of m ud into separate values of m u and m d . Finally, our procedure to quantify both systematic and statistical uncertainties is discussed.

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Section: Jhep08(2011)148supporting

confidence: 61%

Lattice QCD at the physical point: simulation and analysis details

Dürr

Fodor

Hoelbling

et al. 2011

J. High Energ. Phys.

144

170

View full text Add to dashboard Cite

show abstract

“…Additionally, the recent values of the coefficient a 2 (μ = 2 GeV) obtained from lattice QCD [42][43][44] are within the range that we adopted in our calculation.…”

Section: The Distribution Amplitudes Of Pseudoscalar Mesonsmentioning

confidence: 67%

$$\gamma \gamma \rightarrow M^{+}M^{-}(M=\pi , K)$$ γ γ → M + M - ( M = π , K ) processes with twist-3 corrections in QCD

Zhou¹,

Chen²

2017

Eur. Phys. J. C

119

158

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We study the γ γ → M + M − (M = π, K ) processes with the contributions from the two-particle twist-2 and twist-3 distribution amplitudes of pion and kaon mesons on BHL prescription in the standard hard-scattering approach. The results show that the contributions from twist-3 parts are actually not power suppressed compared with the leading-twist contributions in the low energy region. The cross sections with twist-3 corrections agree well with the experimental data in the two-photon center-of-mass energy W > 2.8 GeV and we also predict the cross section ratio, which is compatible with the experimental data from TPC and Belle.

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“…QCD sum rules [51,52,53] or Lattice QCD [54,55,56]. Recently, the UKQCD and RBC collaborations computed a 2 (2 GeV), using N f = 2 + 1 domain-wall fermions [57]. By combining results for a 2 (µ) with experimental constraints, i.e.…”

Section: Numerical Analysismentioning

confidence: 99%

Two-loop corrections to the B → π form factor from QCD sum rules on the light-cone and |Vub|

Bharucha

2012

J. High Energ. Phys.

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We calculate the leading-twist O(α 2 s β 0 ) corrections to the B → π transition form factor f + (0) in light-cone sum rules. We find that, as expected, there is a cancellation between the O(α 2 s β 0 ) corrections to f B f + (0) and the large corresponding corrections to f B , calculated in QCD sum rules. This suggests the insensitivity of the form factors calculated in the light-cone sum rules approach to this source of radiative corrections. We further obtain an improved determination of the CKM matrix element |V ub |, using latest results from BaBar and Belle for f + (0)|V

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Step-scaling with off-shell renormalization

Cited by 74 publications

References 44 publications

Lattice QCD at the physical point: simulation and analysis details

Lattice QCD at the physical point: simulation and analysis details

$$\gamma \gamma \rightarrow M^{+}M^{-}(M=\pi , K)$$ γ γ → M + M - ( M = π , K ) processes with twist-3 corrections in QCD

Two-loop corrections to the B → π form factor from QCD sum rules on the light-cone and |Vub|

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