Snowmass 2021 White Paper: Resummation for future colliders

Melissa van Beekveld; Sebastian Jaskiewicz; Tao Liu; Xiaohui Liu; Duff Neill; Alexander Penin; Felix Ringer; Robert Szafron; Leonardo Vernazza; Gherardo Vita; Jian Wang

arXiv · 2203.07907

Snowmass 2021 White Paper: Resummation for future colliders

Melissa van Beekveld·Sebastian Jaskiewicz·Tao Liu·Xiaohui Liu·Duff Neill·Alexander Penin·Felix Ringer·Robert Szafron·Leonardo Vernazza·Gherardo Vita·Jian Wang

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Abstract

Resummation techniques are essential for high-precision phenomenology at current and future high-energy collider experiments. Perturbative computations of cross sections often suffer from large logarithmic corrections, which must be resummed to all orders to restore the reliability of predictions from first principles. The precise understanding of the all-order structure of field theories allows for fundamental tests of the Standard Model and new physics searches. In this white paper, we review recent progress in modern resummation techniques and outline future directions. In particular, we focus on the resummation beyond leading power, the joint resummation of different classes of logarithms relevant for jets and their substructure, small-$x$ resummation in the high-energy regime and the QCD fragmentation process in the small-$z_h$ limit.

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Melissa van Beekveld, Sebastian Jaskiewicz, Tao Liu, Xiaohui Liu, Duff Neill, Alexander Penin, Felix Ringer, Robert Szafron, Leonardo Vernazza, Gherardo Vita, Jian Wang. 2022-03-15. Snowmass 2021 White Paper: Resummation for future colliders. https://arxiv.org/abs/2203.07907

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