Parton physics from a heavy-quark operator product expansion: Formalism and Wilson coefficients

Detmold, Will; Grebe, Anthony; Kanamori, Issaku; Lin, C.-J. David; Perry, Robert J.; Zhao, Yong

doi:10.1103/physrevd.104.074511

Cited by 31 publications

(26 citation statements)

References 91 publications

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“…In this section, the first steps towards a systematic study of the fourth Mellin moment are discussed. As explained elsewhere [22,23], higher moments in the HOPE formula are kinematically suppressed by increasing powers of ω = 2𝑝 • 𝑞/ Q2 . Thus, like other approaches [13][14][15][16], the statistical sensitivity to higher moments of the LCDA requires calculations at higher hadronic momenta.…”

Section: Fourth Momentmentioning

confidence: 65%

“…The numerical matrix element is then related to the moments of the LCDA via an operator product expansion (OPE). It is possible to show that the effect of the heavy quark may be absorbed in the definition of the Wilson coefficients [22]. It is expected that the use of a heavy quark leads to several advantages including the removal of certain higher-twist effects, additional control of the OPE due to the additional hard scale provided by the heavy quark mass, and the simple analytic continuation to Minkowski space [22,23].…”

Section: Introductionmentioning

confidence: 99%

“…It is possible to show that the effect of the heavy quark may be absorbed in the definition of the Wilson coefficients [22]. It is expected that the use of a heavy quark leads to several advantages including the removal of certain higher-twist effects, additional control of the OPE due to the additional hard scale provided by the heavy quark mass, and the simple analytic continuation to Minkowski space [22,23]. Since this is the first numerical implementation of this approach, the quenched approximation and an unphysical quark mass corresponding to a pion mass of approximately 550 MeV are used.…”

Section: Introductionmentioning

confidence: 99%

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Progress in the determination of Mellin moments of the pion LCDA using the HOPE method

Detmold¹,

Grebe²,

Kanamori³

et al. 2021

Preprint

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The pion light-cone distribution amplitude (LCDA) is a central non-perturbative object of interest for the calculation of high-energy exclusive processes in quantum chromodynamics. In this article, we discuss the calculation of the second and fourth Mellin moment of the pion LCDA using a heavy-quark operator product expansion. The resulting value for the second Mellin moment is 𝜉 2 (𝜇 = 2 GeV) = 0.210 ± 0.013 (stat.) ± 0.034 (sys.). This result is compatible with those from previous determinations of this quantity.

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Section: Fourth Momentmentioning

confidence: 65%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Progress in the determination of Mellin moments of the pion LCDA using the HOPE method

Detmold¹,

Grebe²,

Kanamori³

et al. 2021

Preprint

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“…A factorization theorem is applied when the matrix element has sufficiently large external momentum, hence the name LaMET. The next approach [7][8][9][10], called OPE-without-OPE, is to calculate either the hadronic tensor or the matrix elements with spacelike separations used in later approaches. These matrix elements can be used to determine moments of the PDF through the OPE and from those moments determine the PDF.…”

Section: Introductionmentioning

confidence: 99%

The continuum and leading twist limits of parton distribution functions in lattice QCD

Karpie

Orginos

Radyushkin

et al. 2021

J. High Energ. Phys.

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In this study, we present continuum limit results for the unpolarized parton distribution function of the nucleon computed in lattice QCD. This study is the first continuum limit using the pseudo-PDF approach with Short Distance Factorization for factorizing lattice QCD calculable matrix elements. Our findings are also compared with the pertinent phenomenological determinations. Inter alia, we are employing the summation Generalized Eigenvalue Problem (sGEVP) technique in order to optimize our control over the excited state contamination which can be one of the most serious systematic errors in this type of calculations. A crucial novel ingredient of our analysis is the parameterization of systematic errors using Jacobi polynomials to characterize and remove both lattice spacing and higher twist contaminations, as well as the leading twist distribution. This method can be expanded in further studies to remove all other systematic errors.

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“…By performing the calculation at a number of lattice spacings, one may then extrapolate to the continuum in the usual way [33].…”

mentioning

confidence: 99%

A Preliminary Determination of the Second Mellin Moment of the Pion's Distribution Amplitude Using the Heavy Quark Operator Product Expansion

Detmold,

Grebe,

Kanamori

et al. 2020

Preprint

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We explore the feasibility of determining Mellin moments of the pion's light cone distribution amplitude using the heavy quark operator product expansion (HOPE) method. As the first step of a proof of principle study we pursue a determination of the second Mellin moment. We discuss our choice of kinematics which allows us to successfully extract the moment at low pion momentum. We describe the numerical simulation, and describe the data analysis, which leads us to a preliminary determination of the second Mellin moment in the continuum limit in the quenched approximation as ξ 2 = 0.19(7) in the MS scheme at 2 GeV.

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Parton physics from a heavy-quark operator product expansion: Formalism and Wilson coefficients

Cited by 31 publications

References 91 publications

Progress in the determination of Mellin moments of the pion LCDA using the HOPE method

Progress in the determination of Mellin moments of the pion LCDA using the HOPE method

The continuum and leading twist limits of parton distribution functions in lattice QCD

A Preliminary Determination of the Second Mellin Moment of the Pion's Distribution Amplitude Using the Heavy Quark Operator Product Expansion

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