{
"id": "1801.03917",
"version": "v1",
"published": "2018-01-11T18:39:43.000Z",
"updated": "2018-01-11T18:39:43.000Z",
"title": "Factorization Theorem Relating Euclidean and Light-Cone Parton Distributions",
"authors": [
"Taku Izubuchi",
"Xiangdong Ji",
"Luchang Jin",
"Iain W. Stewart",
"Yong Zhao"
],
"comment": "19 pages, 4 figures",
"categories": [
"hep-ph",
"hep-lat",
"nucl-th"
],
"abstract": "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 theorem with a non-trivial matching coefficient. Using the operator product expansion we prove the large-momentum factorization of the quasi-parton distribution function in LaMET, and show that the more recently discussed Ioffe-time distribution approach also obeys an equivalent factorization theorem. Explicit results for the coefficients are obtained and compared at one-loop. Our proof clearly demonstrates that the matching coefficients in the $\\overline{\\rm MS}$ scheme depend on the large partonic momentum rather than the nucleon momentum.",
"revisions": [
{
"version": "v1",
"updated": "2018-01-11T18:39:43.000Z"
}
],
"analyses": {
"keywords": [
"factorization theorem relating euclidean",
"euclidean wilson line operator",
"wilson line operator accessible",
"standard light-cone parton distribution function"
],
"note": {
"typesetting": "TeX",
"pages": 19,
"language": "en",
"license": "arXiv",
"status": "editable"
}
}
}