Factorization Theorem Relating Euclidean and Light-Cone Parton Distributions - INSPIRE

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Factorization Theorem Relating Euclidean and Light-Cone Parton Distributions

Taku Izubuchi
(
- KEK, Tsukuba and
- RIKEN BNL
)
,
Xiangdong Ji
(
- Shanghai Jiaotong U. and
- Maryland U.
)
,
Luchang Jin
(
- Connecticut U. and
- RIKEN BNL
)
,
Iain W. Stewart
(
- MIT, Cambridge, CTP
)
,
Yong Zhao
(
- MIT, Cambridge, CTP
)

Jan 11, 2018

20 pages

Published in:

Phys.Rev.D 98 (2018) 5, 056004

Published: Sep 11, 2018

e-Print:

1801.03917 [hep-ph]

DOI:

10.1103/PhysRevD.98.056004

Report number:

MIT-CTP-4960,
MIT-CTP 4960

View in:

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Abstract: (APS)

In a large-momentum nucleon state, the matrix element of a gauge-invariant Euclidean Wilson line operator accessible from lattice QCD can be related to the standard light-cone parton distribution function through the large-momentum effective theory (LaMET) expansion. This relation is given by a factorization formula with a nontrivial matching coefficient. Using the operator product expansion we derive the large-momentum factorization of the quasiparton distribution function in LMET, and show that the more recently discussed pseudoparton distribution approach also obeys an equivalent factorization formula. Explicit results for the coefficients are obtained and compared at one loop. We also prove that the matching coefficients in the MS¯ scheme depend on the large partonic momentum rather than the nucleon momentum.

Note:

19 pages, 4 figures

Phenomenological aspects of field theory, general methods
nucleon: momentum
momentum: high
effective field theory
parton: distribution function
quantum chromodynamics: light cone
quantum chromodynamics: factorization
operator product expansion
Wilson loop
field theory: Euclidean

References(69)

Figures(8)

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