Smeared quasidistributions in perturbation theory

Monahan, Christopher

doi:10.1103/PhysRevD.97.054507

Title: Smeared quasidistributions in perturbation theory

Journal Article · Fri Mar 16 00:00:00 EDT 2018 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.97.054507· OSTI ID:1426528

Monahan, Christopher

Quasi- and pseudodistributions provide a new approach to determining parton distribution functions from first principles’ calculations of QCD. Here, I calculate the flavor nonsinglet unpolarized quasidistribution at one loop in perturbation theory, using the gradient flow to remove ultraviolet divergences. I demonstrate that, as expected, the gradient flow does not change the infrared structure of the quasidistribution at one loop and use the results to match the smeared matrix elements to those in the MS¯ scheme. This matching calculation is required to relate numerical results obtained from nonperturbative lattice QCD computations to light-front parton distribution functions extracted from global analyses of experimental data.

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Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: FG02-00ER41132; AC02-05CH11231

OSTI ID:: 1426528

Alternate ID(s):: OSTI ID: 1465441

Journal Information:: Physical Review D, Journal Name: Physical Review D Vol. 97 Journal Issue: 5; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 32 works

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References (43)

Chiral symmetry and the Yang-Mills gradient flow Lüscher, Martin Journal of High Energy Physics, Vol. 2013, Issue 4 https://doi.org/10.1007/JHEP04(2013)123	journal	April 2013
Small flow-time representation of fermion bilinear operators Hieda, Kenji; Suzuki, Hiroshi Modern Physics Letters A, Vol. 31, Issue 38 https://doi.org/10.1142/S021773231650214X	journal	November 2016
Lattice calculation of parton distributions Alexandrou, Constantia; Cichy, Krzysztof; Drach, Vincent Physical Review D, Vol. 92, Issue 1 https://doi.org/10.1103/PhysRevD.92.014502	journal	July 2015
Exclusive processes in position space and the pion distribution amplitude Braun, V. M.; Müller, D. The European Physical Journal C, Vol. 55, Issue 3 https://doi.org/10.1140/epjc/s10052-008-0608-4	journal	May 2008
Nonperturbative evolution of parton quasi-distributions Radyushkin, A. V. Physics Letters B, Vol. 767 https://doi.org/10.1016/j.physletb.2017.02.019	journal	April 2017
Exploring Partonic Structure of Hadrons Using ab initio Lattice QCD Calculations Ma, Yan-Qing; Qiu, Jian-Wei Physical Review Letters, Vol. 120, Issue 2 https://doi.org/10.1103/PhysRevLett.120.022003	journal	January 2018
Nondipolar Wilson links for quasiparton distribution functions Li, Hsiang-nan Physical Review D, Vol. 94, Issue 7 https://doi.org/10.1103/PhysRevD.94.074036	journal	October 2016
Improved quasi parton distribution through Wilson line renormalization Chen, Jiunn-Wei; Ji, Xiangdong; Zhang, Jian-Hui Nuclear Physics B, Vol. 915 https://doi.org/10.1016/j.nuclphysb.2016.12.004	journal	February 2017
Deep-inelastic scattering and the operator product expansion in lattice QCD Detmold, William; Lin, C. -J. David Physical Review D, Vol. 73, Issue 1 https://doi.org/10.1103/PhysRevD.73.014501	journal	January 2006
Lattice QCD exploration of parton pseudo-distribution functions Orginos, Kostas; Radyushkin, Anatoly; Karpie, Joseph Physical Review D, Vol. 96, Issue 9 https://doi.org/10.1103/PhysRevD.96.094503	journal	November 2017
QCD Factorization and PDFs from Lattice QCD Calculation Ma, Yan-Qing; Qiu, Jian-Wei International Journal of Modern Physics: Conference Series, Vol. 37 https://doi.org/10.1142/S2010194515600411	journal	January 2015
Lattice corrections to the quark quasidistribution at one loop Carlson, Carl E.; Freid, Michael Physical Review D, Vol. 95, Issue 9 https://doi.org/10.1103/PhysRevD.95.094504	journal	May 2017
Locally smeared operator product expansions in scalar field theory Monahan, Christopher; Orginos, Kostas Physical Review D, Vol. 91, Issue 7 https://doi.org/10.1103/PhysRevD.91.074513	journal	April 2015
Three-loop anomalous dimension of the heavy-light quark current in HQET Chetyrkin, K. G.; Grozin, A. G. Nuclear Physics B, Vol. 666, Issue 1-2 https://doi.org/10.1016/S0550-3213(03)00490-5	journal	August 2003
Perturbative analysis of the gradient flow in non-abelian gauge theories Lüscher, Martin; Weisz, Peter Journal of High Energy Physics, Vol. 2011, Issue 2 https://doi.org/10.1007/JHEP02(2011)051	journal	February 2011
Gluon quasidistribution function at one loop Wang, Wei; Zhao, Shuai; Zhu, Ruilin The European Physical Journal C, Vol. 78, Issue 2 https://doi.org/10.1140/epjc/s10052-018-5617-3	journal	February 2018
Foundations of Perturbative QCD Collins, John Cambridge Monographs on Particle Physics, Nuclear Physics, and Cosmology https://doi.org/10.1017/CBO9780511975592	book	May 2011
Role of the Euclidean signature in lattice calculations of quasidistributions and other nonlocal matrix elements Briceño, Raúl A.; Hansen, Maxwell T.; Monahan, Christopher J. Physical Review D, Vol. 96, Issue 1 https://doi.org/10.1103/PhysRevD.96.014502	journal	July 2017
Perturbative renormalization of quasi-parton distribution functions Constantinou, Martha; Panagopoulos, Haralambos Physical Review D, Vol. 96, Issue 5 https://doi.org/10.1103/PhysRevD.96.054506	journal	September 2017
Lattice energy-momentum tensor from the Yang-Mills gradient flow--inclusion of fermion fields Makino, H.; Suzuki, H. Progress of Theoretical and Experimental Physics, Vol. 2014, Issue 6 https://doi.org/10.1093/ptep/ptu070	journal	June 2014
Note on lattice regularization and equal-time correlators for parton distribution functions Rossi, G. C.; Testa, M. Physical Review D, Vol. 96, Issue 1 https://doi.org/10.1103/PhysRevD.96.014507	journal	July 2017
Parton distribution function with nonperturbative renormalization from lattice QCD Chen, Jiunn-Wei; Ishikawa, Tomomi; Jin, Luchang Physical Review D, Vol. 97, Issue 1 https://doi.org/10.1103/PhysRevD.97.014505	journal	January 2018
A complete non-perturbative renormalization prescription for quasi-PDFs Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha Nuclear Physics B, Vol. 923 https://doi.org/10.1016/j.nuclphysb.2017.08.012	journal	October 2017
Quasi-parton distribution functions, momentum distributions, and pseudo-parton distribution functions Radyushkin, A. V. Physical Review D, Vol. 96, Issue 3 https://doi.org/10.1103/PhysRevD.96.034025	journal	August 2017
Renormalization of quasiparton distribution Ji, Xiangdong; Zhang, Jian-Hui Physical Review D, Vol. 92, Issue 3 https://doi.org/10.1103/PhysRevD.92.034006	journal	August 2015
Möbius domain-wall fermions on gradient-flowed dynamical HISQ ensembles Berkowitz, Evan; Bouchard, Chris; Chang, Chia Cheng Physical Review D, Vol. 96, Issue 5 https://doi.org/10.1103/PhysRevD.96.054513	journal	September 2017
Quasi parton distributions and the gradient flow Monahan, Christopher; Orginos, Kostas Journal of High Energy Physics, Vol. 2017, Issue 3 https://doi.org/10.1007/JHEP03(2017)116	journal	March 2017
A new algorithm for adaptive multidimensional integration Peter Lepage, G. Journal of Computational Physics, Vol. 27, Issue 2 https://doi.org/10.1016/0021-9991(78)90004-9	journal	May 1978
Parton Physics on a Euclidean Lattice Ji, Xiangdong Physical Review Letters, Vol. 110, Issue 26 https://doi.org/10.1103/PhysRevLett.110.262002	journal	June 2013
One-loop matching for parton distributions: Nonsinglet case Xiong, Xiaonu; Ji, Xiangdong; Zhang, Jian-Hui Physical Review D, Vol. 90, Issue 1 https://doi.org/10.1103/PhysRevD.90.014051	journal	July 2014
Model independent determination of the light-cone wave functions for exclusive processes Aglietti, U.; Ciuchini, M.; Corbò, G. Physics Letters B, Vol. 441, Issue 1-4 https://doi.org/10.1016/S0370-2693(98)01138-1	journal	November 1998
Renormalizability of quasiparton distribution functions Ishikawa, Tomomi; Ma, Yan-Qing; Qiu, Jian-Wei Physical Review D, Vol. 96, Issue 9 https://doi.org/10.1103/PhysRevD.96.094019	journal	November 2017
Flavor structure of the nucleon sea from lattice QCD Lin, Huey-Wen; Chen, Jiunn-Wei; Cohen, Saul D. Physical Review D, Vol. 91, Issue 5 https://doi.org/10.1103/PhysRevD.91.054510	journal	March 2015
Nucleon helicity and transversity parton distributions from lattice QCD Chen, Jiunn-Wei; Cohen, Saul D.; Ji, Xiangdong Nuclear Physics B, Vol. 911 https://doi.org/10.1016/j.nuclphysb.2016.07.033	journal	October 2016
More on large-momentum effective theory approach to parton physics Ji, Xiangdong; Zhang, Jian-Hui; Zhao, Yong Nuclear Physics B, Vol. 924 https://doi.org/10.1016/j.nuclphysb.2017.09.001	journal	November 2017
Universal formula for the flavor non-singlet axial-vector current from the gradient flow Endo, T.; Hieda, K.; Miura, D. Progress of Theoretical and Experimental Physics, Vol. 2015, Issue 5 https://doi.org/10.1093/ptep/ptv058	journal	May 2015
Pion distribution amplitude from lattice QCD Zhang, Jian-Hui; Chen, Jiunn-Wei; Ji, Xiangdong Physical Review D, Vol. 95, Issue 9 https://doi.org/10.1103/PhysRevD.95.094514	journal	May 2017
Properties and uses of the Wilson flow in lattice QCD Lüscher, Martin Journal of High Energy Physics, Vol. 2010, Issue 8 https://doi.org/10.1007/JHEP08(2010)071	journal	August 2010
Infinite N phase transitions in continuum Wilson loop operators Narayanan, Rajamani; Neuberger, Herbert Journal of High Energy Physics, Vol. 2006, Issue 03 https://doi.org/10.1088/1126-6708/2006/03/064	journal	March 2006
New developments in FeynCalc 9.0 Shtabovenko, Vladyslav; Mertig, Rolf; Orellana, Frederik Computer Physics Communications, Vol. 207 https://doi.org/10.1016/j.cpc.2016.06.008	journal	October 2016
Feyn Calc - Computer-algebraic calculation of Feynman amplitudes Mertig, R.; Böhm, M.; Denner, A. Computer Physics Communications, Vol. 64, Issue 3 https://doi.org/10.1016/0010-4655(91)90130-D	journal	June 1991
Preliminaries on a lattice analysis of the pion light-cone wave function: A partonic signal? Abada, A.; Boucaud, Ph.; Herdoiza, G. Physical Review D, Vol. 64, Issue 7 https://doi.org/10.1103/PhysRevD.64.074511	journal	September 2001
Renormalization of Path Ordered Phase Factors and Related Hadron Operators in Gauge Field Theories Dorn, H. Fortschritte der Physik, Vol. 34, Issue 1 https://doi.org/10.1002/prop.19860340104	journal	January 1986

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