Analytic regularization in Soft-Collinear Effective Theory

By T. Becher, G. Bell. 2011

156 citations recorded by the source corpus.

In high-energy processes which are sensitive to small transverse momenta, individual contributions from collinear and soft momentum regions are not separately well-defined in dimensional regularization. A simple possibility to solve this problem is to introduce additional analytic regulators. We point out that in massless theories the unregularized singularities only appear in real-emission diagrams and that the additional regulators can be introduced in such a way that gauge invariance and the factorized eikonal structure of soft and collinear emissions is maintained. This simplifies factorization proofs and implies, at least in the massless case, that the structure of Soft-Collinear Effective Theory remains completely unchanged by the presence of the additional regulators. Our formalism also provides a simple operator definition of transverse parton distribution functions.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/0b19f8b8d88b9ebc56e3729be247621e151645f6

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In Nuclear and High Energy Physics

Citations in the corpus

Calculation of the transverse parton distribution functions at next-to-next-to-leading order (2014, methodology): “They confirm the recent structural findings in [34], while working with a completely different methodology [22, 23, 27] based on SCET.”
Introduction to Soft-Collinear Effective Theory (2014, methodology): “) An important ingredient for the matching to fixed-order computations and to increase the accuracy of the resummations are the two-loop beam functions relevant for this case, which were computed in [211,212] using the analytic regulator introduced in [13].”