[Submitted on 5 Aug 2015] (cross-list from hep-ph)
Violation of Factorization Theorem in QCD and QED For Non-Light-Like Wilson Line
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.
- Comments:
- 51 pages latex. arXiv admin note: substantial text overlap with arXiv:1506.02651, arXiv:1506.02593, arXiv:1506.07146
- Subjects:
- High Energy Physics — Phenomenology (hep-ph); High Energy Physics — Theory (hep-th); Nuclear Theory (nucl-th)
- arXiv:
- 1508.01194 [pdf]