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Region analysis of QED massive fermion form factor

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arxiv 2311.16215 v2 pith:36XOKHY4 submitted 2023-11-27 hep-ph

Region analysis of QED massive fermion form factor

classification hep-ph
keywords analysisfactorformmassivenext-to-leadingpowerquarkregion
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We perform an analysis of the one- and two-loop massive quark form factor in QED in a region expansion, up to next-to-leading power in the quark mass. This yields an extensive set of regional integrals, categorized into three topologies, against which factorization theorems at next-to-leading power could be tested. Our analysis reveals a number of subtle aspects involving rapidity regulators, as well as additional regions that manifest themselves only beyond one loop, at the level of single diagrams, but which cancel in the form factor.

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