Towards all-order factorization of QED amplitudes at next-to-leading power

E. Laenen; J. Sinninghe Damsté; L. Vernazza; W. Waalewijn; L. Zoppi

doi:10.1103/PhysRevD.103.034022

Towards all-order factorization of QED amplitudes at next-to-leading power

E. Laenen, J. Sinninghe Damsté, L. Vernazza, W. Waalewijn, L. Zoppi

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

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.

Original language	English
Article number	034022
Pages (from-to)	1-33
Journal	Physical review D
Volume	103
Issue number	3
Early online date	4 Aug 2020
DOIs	https://doi.org/10.1103/PhysRevD.103.034022
Publication status	Published - 25 Feb 2021

Bibliographical note

Funding Information:
E. L. acknowledges support from the Dutch NWO-I program 156, “Higgs as Probe and Portal”. J. S. D. and W. W. are supported by the D-ITP consortium, a program of NWO funded by the Dutch Ministry of Education, Culture and Science (OCW). L. V. acknowledges support from the Fellini—Fellowship for Innovation at INFN, funded by the European Union’s Horizon 2020 research programme under the Marie Skłodowska-Curie Cofund Action, Grant agreement no. 754496. W. W. and L. Z. are supported by the ERC Grant No. ERC-STG-2015-67732. This is also based upon work from COST Action CA16201 PARTICLEFACE supported by COST (European Cooperation in Science and Technology).

Publisher Copyright:
© 2021 authors.

Keywords

hep-ph

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PhysRevD.103.034022Final published version, 1.13 MBLicence: CC BY

Cite this

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abstract = "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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Towards all-order factorization of QED amplitudes at next-to-leading power

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