Splitting amplitudes at N3LO in QCD


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Date

2025-01

Publication Type

Journal Article

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yes

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Abstract

In the limit where partons become collinear to each other, scattering amplitudes factorize into a product of universal, process-independent building blocks and scattering amplitudes involving fewer partons. We compute these universal building blocks — known as splitting amplitudes — for two collinear QCD partons up to third loop order in QCD. Our results describe arbitrary time-like splitting processes. Due to the violation of strict collinear factorization in space-like splitting processes, we specifically present space-like splitting amplitudes for three-parton QCD scattering amplitudes at third loop order. To achieve our results, we perform a collinear expansion of three-loop scattering amplitudes using a new expansion-by-subgraph technology, which is based on the method of regions.

Publication status

published

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Volume

2025 (1)

Pages / Article No.

90

Publisher

Springer

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Subject

Factorization; Renormalization Group; Higher-Order Perturbative Calculations

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Funding

228411 - 10001706 - Singlular structure of two-loop amplitudes and their numerical evaluation (SNF)

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