Automation of amplitude-level QED resummation with ACRAIC
Abstract
Precision electroweak predictions for future e+e- colliders will require levels of precision unmatched in collider physics and the modelling of multiple-photon emissions, and the exponentiation of the associated logarithms needs to be carefully considered. The Yennie-Frautschi-Suura theorem subtracts the infrared singularities to all orders and exponentiates them, leaving infrared-finite remainders which can be calculated order-by-order. Coherent exponentiation performs this subtraction at the amplitude level, preserving the interference between emissions, but has so far been available only for fermion-pair production, with hand-coded amplitudes. We present ACRAIC, an automated, amplitude-level realization of this subtraction for general scattering processes in Sherpa. This method allows us to construct an 𝒪(α) and 𝒪(α2) amplitude level subtraction scheme, in which the infrared-finite remainders are tree-level helicity amplitudes with partition-dependent propagator shifts, computed by the Berends--Giele recursion, and the one-loop electroweak virtual enters through a per-helicity factor from the loop provider. At 𝒪(α2) two independent matchings agree on the size of the missing higher orders to ∼10−3, and the estimated perturbative uncertainty shrinks by about an order of magnitude relative to 𝒪(α).
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BibTeX
@misc{price2026automation,
title = {{Automation of amplitude-level QED resummation with ACRAIC}},
author = {Alan Price},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.28283},
eprint = {2610.28283},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.28283},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Automation of amplitude-level QED resummation with ACRAIC
AU - Alan Price
PY - 2026
DA - 2026/10/20
PB - arXiv
DO - 10.48550/arxiv.2610.28283
UR - https://arxiv.org/abs/2610.28283
AB - Precision electroweak predictions for future e^+e^- colliders will require levels of precision unmatched in collider physics and the modelling of multiple-photon emissions, and the exponentiation of the associated logarithms needs to be carefully considered. The Yennie-Frautschi-Suura theorem subtracts the infrared singularities to all orders and exponentiates them, leaving infrared-finite remainders which can be calculated order-by-order. Coherent exponentiation performs this subtraction at the amplitude level, preserving the interference between emissions, but has so far been available only for fermion-pair production, with hand-coded amplitudes. We present ACRAIC, an automated, amplitude-level realization of this subtraction for general scattering processes in Sherpa. This method allows us to construct an 𝒪(α) and 𝒪(α^2) amplitude level subtraction scheme, in which the infrared-finite remainders are tree-level helicity amplitudes with partition-dependent propagator shifts, computed by the Berends--Giele recursion, and the one-loop electroweak virtual enters through a per-helicity factor from the loop provider. At 𝒪(α^2) two independent matchings agree on the size of the missing higher orders to ∼10^−3, and the estimated perturbative uncertainty shrinks by about an order of magnitude relative to 𝒪(α).
ER -