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Next-to-leading power jet functions in the small-mass limit in QED

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arxiv 2503.10810 v1 pith:7BCYNTVL submitted 2025-03-13 hep-ph

classification hep-ph
keywords functionsfactorizationfermionfindnext-to-leadingorderpoweraddress
verification ladder T0 review T1 audit T2 compute T3 formal

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We investigate the factorization properties of the massive fermion form factor in QED, to next-to-leading power in the fermion mass, and up to two-loop order. For this purpose we define new jet functions that have multiple connections to the hard part as operator matrix elements, and compute them to second order in the coupling. We test our factorization formula using these new jet functions in a region-based analysis and find that factorization indeed holds. We address a number of subtle aspects such as rapidity regulators and external line corrections, and we find an interesting sequence of relations among the jet functions.

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Cited by 4 Pith papers

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

  1. Power corrections to the heavy electron form factor

    hep-ph 2025-04 conditional novelty 7.0 of 10

    The next-to-leading-power correction to the heavy electron form factor in QED factorizes as derivative and field-strength matrix elements, yielding an all-orders soft photon theorem.

  2. Random Reshuffling-Based Distributed Nash Equilibrium Seeking

    math.OC 2026-04 unverdicted novelty 6.0 of 10

    Random reshuffling yields distributed Nash-seeking algorithms that, under partial decision information, converge linearly to a neighborhood (constant steps) or exactly a.s./in mean square (diminishing steps), outperfo...

  3. Hidden self-energy contributions of collinear functions in SCET

    hep-ph 2025-12 conditional novelty 6.0 of 10

    Quark self-energy contributions on external legs in SCET can be hidden in Wilson-line diagrams at subleading power when a modified operator basis is used.

  4. Universality at next-to-leading power for jet associated processes

    hep-ph 2025-05 reject novelty 6.0 of 10

    The paper proposes a universal relation between the leading logarithmic coefficient and the mass-factorization pole for jet-associated production of any massive colourless particle.

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