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Multiloop corrections for collider processes using auxiliary mass flow

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arxiv 2107.01864 v2 pith:GXCAJ5WR submitted 2021-07-05 hep-ph

Multiloop corrections for collider processes using auxiliary mass flow

classification hep-ph
keywords correctionscolliderprocessesauxiliarycolliderscomputeflowhadron
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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With a key improvement, the auxiliary mass flow method is now able to compute Feynman integrals encountered in cutting-edge collider processes. We have successfully applied it to compute some integrals involved in two-loop electroweak corrections to $e^+e^-\to HZ$, two-loop QCD corrections to $3j$, $W/Z/H+2j$, $t\bar{t}H$ and $4j$ production at hadron colliders, and three-loop QCD corrections to $t\bar{t}$ production at hadron colliders, all of which are crucial for precision frontier in collider physics in the following decade. Our results are important building blocks and benchmarks for future studies of these processes.

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Cited by 3 Pith papers

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  2. AMFlow 2.0: significant algorithmic and software improvements for Feynman integral evaluation

    hep-ph 2026-07 accept novelty 5.0

    AMFlow 2.0 cuts symbolic and numerical cost of multi-loop Feynman integral evaluation via an FT recursion mode, a C++ DE solver, and modern IBP reducers, demonstrated on a three-loop five-point family.

  3. Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist

    hep-ph 2025-04 unverdicted novelty 2.0

    The report reviews progress since 2021 in fixed-order computations for LHC applications and identifies processes requiring missing higher-order corrections to match anticipated experimental precision.