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Soft photon theorem in QCD with massless quarks

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arxiv 2311.06912 v1 pith:RJVFVDUP submitted 2023-11-12 hep-ph hep-th

classification hep-phhep-th
keywords photonsoftcorrectionsenergymasslessmuchordersquarks
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Working to all orders in dimensionally-regularized QCD, we study the radiation of a photon whose energy is much lower than that of external partons, but much larger than the masses of some quarks. We argue that the conventional soft photon theorem receives corrections at leading power in the photon energy, associated with soft virtual loops of massless fermions. These additive corrections give an overall factor times the non-radiative amplitude that is infrared finite and real to all orders in $\alpha_s$. Based on recent calculations of the three-loop soft gluon current, we identify the lowest-order three-loop correction.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Running soft theorems in effective field theory

    hep-th 2026-08 conditional novelty 6.0 of 10

    At one loop, the finite subleading parts of the soft photon and double-soft pion theorems carry Wilson coefficients whose RG running is dictated by the same EFT beta functions, while log terms remain universal.

  2. Non-abelian soft radiation data for a celestial theory

    hep-th 2025-12 conditional novelty 6.0 of 10

    Non-abelian soft-emission data imply that celestial OPE coefficients depend on gluon energy fractions, breaking holomorphic factorization and associativity, while single-soft logarithms can be reabsorbed into the runn...

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