Violation of Factorization Theorem in QCD and QED For Non-Light-Like Wilson Line
High Energy Physics - Phenomenology
2015-08-07 v1 High Energy Physics - Theory
Nuclear Theory
Abstract
By using path integral formulation of QCD and QED we prove that the factorization theorem is valid for light-like Wilson line but is not valid for non-light-like Wilson line. This conclusion is shown to be consistent with Ward identity and Grammer-Yennie approximation. Hence we find that the factorization theorem is violated in all the previous studies which used the non-light-like Wilson line in the definition of the (transverse momentum dependent) parton distribution function and fragmentation function at high energy colliders.
Keywords
Cite
@article{arxiv.1508.01194,
title = {Violation of Factorization Theorem in QCD and QED For Non-Light-Like Wilson Line},
author = {Gouranga C. Nayak},
journal= {arXiv preprint arXiv:1508.01194},
year = {2015}
}
Comments
51 pages latex. arXiv admin note: substantial text overlap with arXiv:1506.02651, arXiv:1506.02593, arXiv:1506.07146