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arXiv · 1508.01194

Violation of Factorization Theorem in QCD and QED For Non-Light-Like Wilson Line

Gouranga C. Nayak
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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.

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Gouranga C. Nayak. 2015-08-05. Violation of Factorization Theorem in QCD and QED For Non-Light-Like Wilson Line. https://arxiv.org/abs/1508.01194

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