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2017

Smeared quasidistributions in perturbation theory

Monahan, Christopher

Understand

Quasi and pseudo distributions provide a new approach to determining parton distribution functions (PDFs) from first principles' calculations of quantum chromodynamics (QCD).

Here I calculate the flavor nonsinglet unpolarized quasi distribution 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 quasi distribution 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 PDFs extracted from global analyses of experimental data.

Built on

G. P. Lepage, J. Comput. Phys. 27
1978
Earlier work this paper cites.
H. Dorn, Fortsch. Phys. 34
1986
Earlier work this paper cites.
R. Mertig, M. Bohm, and A. Denner, Comput. Phys. Commun. 64
1991
Earlier work this paper cites.
U. Aglietti, M. Ciuchini, G. Corbo, E. Franco, G. Martinelli, and L. Silvestrini, Phys. Lett. B441
1998
Earlier work this paper cites.
A. Abada, P. Boucaud, G. Herdoiza, J. P. Leroy, J. Micheli, O. Pene, and J. Rodriguez-Quintero, Phys. Rev. D64
2001
Earlier work this paper cites.
K. G. Chetyrkin and A. G. Grozin, Nucl. Phys. B666
2003
Earlier work this paper cites.
R. Narayanan and H. Neuberger, JHEP 0603
2006
Earlier work this paper cites.
W. Detmold and C. D. Lin, Phys.Rev. D73
2006
Earlier work this paper cites.
V. Braun and D. Mueller, Eur. Phys. J. C55
Original
2008
Earlier work this paper cites.
Lüscher, M., JHEP 1008
Original
2010
Earlier work this paper cites.
Lüscher, M. and P. Weisz, JHEP 1102
Original
2011
Earlier work this paper cites.
J. Collins, Foundations of Perturbative QCD (Cambridge University Press, 2011)
2011
Earlier work this paper cites.
X. Ji, Phys.Rev.Lett. 110
Original
2013
Earlier work this paper cites.
M. Lüscher, JHEP 1304
Original
2013
Earlier work this paper cites.
Y.-Q. Ma and J.-W. Qiu, (2014), arXiv:1404.6860
Original
2014
Earlier work this paper cites.
X. Xiong, X. Ji, J.-H. Zhang, and Y. Zhao, Phys. Rev. D90
Original
2014
Earlier work this paper cites.