Renormalization of Wilson-line operators in the presence of nonzero quark masses

Spanoudes, Gregoris; Panagopoulos, H.

doi:10.1103/physrevd.98.014509

Cited by 36 publications

(24 citation statements)

References 90 publications

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“…A long write-up of our work, together with an extended list of references, can be found in Ref. [11]. In this part, we consider a total of 16 straight-line operators of different Dirac structures:…”

Section: Renormalization Of Straight-line Operators In the Presence Omentioning

confidence: 99%

See 1 more Smart Citation

Perturbative investigation of "Wilson-line"-type operators in Parton Physics

Spanoudes¹,

Panagopoulos²

2019

Proceedings of XIII Quark Confinement and the Hadron Spectrum — PoS(Confinement2018)

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We investigate the renormalization of a class of gauge-invariant nonlocal quark bilinear operators, including a finite-length Wilson-line (called Wilson-line operators). The matrix elements of these operators are involved in the recent "quasi-distribution" approach for computing lightcone distributions of Hadronic Physics on the lattice. We consider two classes of Wilson-line operators: straight-line and staple-shaped operators, which are related to the parton distribution functions (PDFs) and transverse momentum-dependent distributions (TMDs), respectively. We present our one-loop results for the conversion factors of straight-line operators between the RI (appropriate for nonperturbative renormalization on the lattice) and MS (typically used in phenomenology) renormalization schemes in the presence of nonzero quark masses.In addition, we present the first results of our preliminary work for the renormalization of staple-shaped operators both in continuum (Dimensional Regularization) and lattice (Wilson/clover fermions and Symanzik improved gluons) regularizations. We identify the observed mixing pairs among these operators, which must be disentangled in the nonperturbative investigations of heavy-quark quasi-PDFs and of light-quark quasi-TMDs.

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Section: Renormalization Of Straight-line Operators In the Presence Omentioning

confidence: 99%

“…There are also other attempts for renormalizing the straight-line operators or directly the quasi-PDFs nonperturbatively, using alternative techniques, such as the static quark potential, the gradient flow and the auxiliary-field formalism (see references in [11]).…”

Section: History Of Renormalization Of Straight-line Operatorsmentioning

confidence: 99%

Perturbative investigation of "Wilson-line"-type operators in Parton Physics

Spanoudes¹,

Panagopoulos²

2019

Proceedings of XIII Quark Confinement and the Hadron Spectrum — PoS(Confinement2018)

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“…Since Ji's paper, there has been a plethora of studies of this approach, both theoretical and numerical. Renormalizability of quasi-PDFs was established [2,3] and both perturbative and nonperturbative renormalization prescriptions were developed [4,5,6,7,8]. Matching between quasi-PDFs renormalized in different schemes and light-cone PDFs was considered [9,10,11,12,13,14] and target mass corrections were calculated [15].…”

Section: Introductionmentioning

confidence: 99%

Light-cone PDFs from lattice QCD

Alexandrou¹,

Cichy²,

Constantinou³

et al. 2019

Proceedings of the 36th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2018)

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Using the approach proposed a few years ago by X. Ji, it has become feasible to extract parton distribution functions (PDFs) from lattice QCD, a task thought to be extremely difficult before Ji's proposal. In this talk, we discuss this approach, in particular different systematic effects that need to be controlled to ultimately have precise determinations of PDFs. Special attention is paid to the analysis of excited states. We emphasize that it is crucial to control excited states contamination and we show an analysis thereof for our lattice data, used to calculate quasi-PDFs and finally light-cone PDFs in the second part of this proceeding (C. Alexandrou et al., Quasi-PDFs from Twisted mass fermions at the physical point).

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“…By now there has been important progress in understanding the renormalization of quasi-PDFs [20][21][22][23][24][25][26][27][28][29][30][31][32]. A variety of other aspects of quasi-PDFs and, generally, Euclidean correlators have also been extensively studied .…”

Section: Introductionmentioning

confidence: 99%

“…Other approaches for computing the x-dependence of PDFs and related quantities have also been suggested [8][9][10][11][12][13][14][15][16][17][18][19]. Some of them are closely related to the concept of quasi-PDFs.By now there has been important progress in understanding the renormalization of quasi-PDFs [20][21][22][23][24][25][26][27][28][29][30][31][32]. A variety of other aspects of quasi-PDFs and, generally, Euclidean correlators have also been extensively studied .…”

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confidence: 99%

Studying twist-2 GPDs through quasi-distributions in a scalar diquark model

Bhattacharya¹,

Cocuzza²,

Metz³

2019

Proceedings of XXVII International Workshop on Deep-Inelastic Scattering and Related Subjects — PoS(DIS2019)

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Quasi parton distributions (quasi-PDFs) are currently under intense investigation. Quasi-PDFs are defined through spatial correlation functions and are thus accessible in lattice QCD. They gradually approach their corresponding standard (light-cone) PDFs as the hadron momentum increases. Recently, we investigated the concept of quasi-distributions in the case of generalized parton distributions (GPDs) by calculating the twist-2 vector GPDs in the scalar diquark spectator model. In the present work, we extend this study to the remaining six leading-twist GPDs. For large hadron momenta, all quasi-GPDs analytically reduce to the corresponding standard GPDs. We also study the numerical mismatch between quasi-GPDs and standard GPDs for finite hadron momenta. Furthermore, we present results for quasi-PDFs, and explore higher-twist effects associated with the parton momentum and the longitudinal momentum transfer to the target. We study the dependence of our results on the model parameters as well. Finally, we discuss the lowest moments of quasi distributions, and elaborate on the relation between quasi-GPDs and the total angular momentum of quarks. The moment analysis suggests a preferred definition of several quasi-distributions. I. INTRODUCTIONParton distribution functions (PDFs) are important objects encoding information about the quark and gluon structure of hadrons [1]. They can be extracted from data for a large class of hard scattering processes, where the key underlying tool is factorization theorems in quantum chromodynamics (QCD) that separate the perturbatively calculable short distance part of a cross section from the long-distance part described by PDFs and other potential non-perturbative quantities [2]. On the other hand, first-principles calculations of PDFs using lattice QCD have remained challenging due to their explicit time-dependence. As a result, in the past almost all related studies in lattice QCD focused on moments of PDFs which are defined through time-independent local operators, while the full dependence of PDFs on the parton momentum fraction x remained elusive.The recently proposed quasi parton distributions (quasi-PDFs) offer a way to directly access the x-dependence of the PDFs in lattice QCD [3,4]. Quasi-PDFs are defined through spatial equal-time operators that can be computed on four-dimensional Euclidean lattices. They reduce to their corresponding standard (light-cone) PDFs if the hadron momentum P 3 = | P | → ∞, prior to renormalization. However, for lattice calculations one first renormalizes, and P 3 is finite. This leads to two sources of discrepancies between quasi-PDFs and standard PDFs: higher-twist corrections that are suppressed by powers of 1 P 3 , and a different ultraviolet (UV) behavior for these two types of PDFs. The UV disparities can be cured order by order in perturbative QCD through a so-called matching procedure -see for instance . Other approaches for computing the x-dependence of PDFs and related quantities have also been suggested [8][9][10][11][12][13][14][15...

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Renormalization of Wilson-line operators in the presence of nonzero quark masses

Cited by 36 publications

References 90 publications

Perturbative investigation of "Wilson-line"-type operators in Parton Physics

Perturbative investigation of "Wilson-line"-type operators in Parton Physics

Light-cone PDFs from lattice QCD

Studying twist-2 GPDs through quasi-distributions in a scalar diquark model

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