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The Four-Loop $\mathcal{N}=4$ SYM Sudakov Form Factor

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arxiv 2110.13166 v1 pith:X26EXM6A submitted 2021-10-25 hep-th hep-ph

classification hep-thhep-ph
keywords factorformmathcalsudakovcoloreightfourfour-loop
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abstract

We present the Sudakov form factor in full color $\mathcal{N}=4$ supersymmetric Yang-Mills theory to four loop order and provide uniformly transcendental results for the relevant master integrals through to weight eight.

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Cited by 2 Pith papers

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  1. 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...

  2. Three loop master integrals for ${\mathcal{O}} (\alpha \alpha_s^2)$ corrections to quark form factor

    hep-ph 2025-06 conditional novelty 6.0 of 10

    The authors derive analytic expressions for all 303 three-loop master integrals with one massive propagator appearing in the mixed QCD-electroweak corrections to the quark form factor, expressed through generalized po...

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