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May the four be with you: Novel IR-subtraction methods to tackle NNLO calculations

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arxiv 2012.02567 v1 pith:M7NZGOSU submitted 2020-12-04 hep-ph hep-th

classification hep-phhep-th
keywords novelcomputationsfieldquantumsingularitiestheoriesapproachescalculations
verification ladder T0 review T1 audit T2 compute T3 formal
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In this report, we present a discussion about different frameworks to perform precise higher-order computations for high-energy physics. These approaches implement novel strategies to deal with infrared and ultraviolet singularities in quantum field theories. A special emphasis is devoted to the local cancellation of these singularities, which can enhance the efficiency of computations and lead to discover novel mathematical properties in quantum field theories.

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Cited by 3 Pith papers

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

  1. Phase-space sectors for ordered momentum mappings in local subtraction up to N$^3$LO

    hep-ph 2025-07 conditional novelty 7.0 of 10

    A sector decomposition of phase space assigns ordered momentum mappings to antenna functions without partial fractioning, enabling simpler N3LO infrared subtraction.

  2. General finite two-loop amplitude integrand for photoproduction in quark annihilation

    hep-ph 2025-09 conditional novelty 6.0 of 10

    The paper constructs a locally finite two-loop amplitude integrand for photoproduction in quark annihilation, using momentum-flow symmetrization and an antisymmetric counterterm vertex to remove transient collinear si...

  3. Fast evaluation of Feynman integrals for Monte Carlo generators

    hep-ph 2025-07 conditional novelty 6.0 of 10

    A new numerical integrator evaluates one- and two-loop five-point Feynman integrals with complex masses in milliseconds, using variable-by-variable integration and a new branch-cut prescription.

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