Towards all-order factorization of QED amplitudes at next-to-leading power
We generalize the factorization of Abelian gauge theory amplitudes to next-to-leading power (NLP) in a soft scale expansion, following a recent generalization for Yukawa theory. From an all-order power counting analysis of leading and next-to-leading regions, we infer the factorized structure for bo...
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Veröffentlicht in: | Physical review. D 2021-02, Vol.103 (3), Article 034022 |
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Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | We generalize the factorization of Abelian gauge theory amplitudes to next-to-leading power (NLP) in a soft scale expansion, following a recent generalization for Yukawa theory. From an all-order power counting analysis of leading and next-to-leading regions, we infer the factorized structure for both a parametrically small and zero fermion mass. This requires the introduction of new universal jet functions, for nonradiative and single-radiative QED amplitudes, which we compute at one-loop order. We show that our factorization formula reproduces the relevant regions in one- and two-loop scattering amplitudes, appropriately addressing endpoint divergences. It provides a description of virtual collinear modes and accounts for nontrivial hard-collinear interplay present beyond the one-loop level, making this a first step toward a complete all-order factorization framework for gauge-theory amplitudes at NLP. |
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ISSN: | 2470-0010 2470-0029 |
DOI: | 10.1103/PhysRevD.103.034022 |