Perturbative Renormalization of Wilson line operators

Constantinou, Martha; Panagopoulos, H.

doi:10.1051/epjconf/201817506025

Cited by 3 publications

(3 citation statements)

References 3 publications

(9 reference statements)

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“…A perturbative one-loop calculation [16,46] of the matrix elements of the Wilson-line operators on the lattice has shown two nontrivial features of these operators: linear divergences (similar to those found in the continuum [44]), in addition to the logarithmic divergences, and mixing among certain pairs of the original operators under renormalization. Studies for the elimination of the linear divergences have been made using various methods, such as the static quark potential [17,47,48], the gradient flow [49][50][51], the nonperturbative bare matrix elements of the Wilson-line operators [16,46], and the auxiliary field formalism [52], [20,[53][54][55]. A complete nonperturbative renormalization prescription, which relies on nonperturbative matrix elements of Wilson-line operators, is described in Ref.…”

Section: Introductionmentioning

confidence: 94%

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

Spanoudes

Panagopoulos

2018

Phys. Rev. D

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In this paper, we examine the effect of nonzero quark masses on the renormalization of gauge-invariant nonlocal quark bilinear operators, including a finite-length Wilson line (called Wilson-line operators). These operators are relevant to the definition of parton quasidistribution functions, the calculation on the lattice of which allows the direct nonperturbative study of the corresponding physical parton distribution functions. We present our perturbative calculations of the bare Green's functions, the renormalization factors in RI 0 and MS schemes, as well as the conversion factors of these operators between the two renormalization schemes. Our computations have been performed in dimensional regularization at oneloop level, using massive quarks. The conversion factors can be used to convert the corresponding lattice nonperturbative results to the MS scheme, which is the most widely used renormalization scheme for the analysis of experimental data in high-energy physics. Also, our study is relevant for disentangling the additional operator mixing that occurs in the presence of nonzero quark masses, both on the lattice and in dimensional regularization.

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Section: Introductionmentioning

confidence: 94%

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

Spanoudes

Panagopoulos

2018

Phys. Rev. D

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“…A one-loop calculation has been presented in Ref. [75,76]. Although ultimately the operators will need to be renormalized nonpertubatively, a perturbative calculation is helpful in clarifying the renormalization pattern.…”

Section: Renormalizationmentioning

confidence: 99%

Parton distributions in the LHC era

Debbio

2018

EPJ Web Conf.

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Analyses of LHC (and other!) experiments require robust and statistically accurate determinations of the structure of the proton, encoded in the parton distribution functions (PDFs). The standard description of hadronic processes relies on factorization theorems, which allow a separation of process-dependent short-distance physics from the universal long-distance structure of the proton. Traditionally the PDFs are obtained from fits to experimental data. However, understanding the long-distance properties of hadrons is a nonperturbative problem, and lattice QCD can play a role in providing useful results from first principles. In this talk we compare the different approaches used to determine PDFs, and try to assess the impact of existing, and future, lattice calculations.

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“…4.4.1, a judicious choice of α, p, and z will isolate the pseudo-ITD, otherwise leading to a higher twist contamination from N . Another potential difficulty to avoid the mixing of renormalization constants of the Wilson line quark bilinear and a higher twist scalar operator[64,65]. If the separation has a non zero z α component, the Parameters for the lattices generated by the JLab/W&M collaboration[1] using 2+1 flavors of clover Wilson fermions and a tree-level tadpole-improved Symanzik gauge action.…”

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confidence: 99%

On the calculation of parton distributions from Lattice QCD

Karpie

2019

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A new method for calculating parton distribution functions from lattice QCD is implemented and studied. Lattice QCD calculable matrix elements with space-like separated fields have an analogous operator product expansion to experimental scattering cross sections and thus these matrix elements are known as "Good Lattice Cross Sections". Using the colinear factorization approach, a Good Lattice Cross Section can be factorized to the short distance matching kernels that are computed in perturbation theory and the non-perturbative parton distribution functions. As a result, using the perturbative matching kernels and the non-perturbatively computed matrix elements, one can obtain the parton distribution functions. The nucleon and pion matrix elements are determined on a set of 2+1 flavors of clover improved quarks with heavier than physical pion mass. The determination of the parton distributions from Good Lattice Cross Sections constitutes an ill-posed inverse problem. Methods for accurate determination of parton distributions from the Good Lattice Cross Sections are studied. With the calculation of several Good Lattice Cross Sections, the determination of the parton distributions can be improved with a simultaneous analysis, similar to the global parton distribution fits to experimental cross sections.

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Perturbative Renormalization of Wilson line operators

Cited by 3 publications

References 3 publications

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

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

Parton distributions in the LHC era

On the calculation of parton distributions from Lattice QCD

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