Ahmed, Taushif and Chaubey, Ekta and Kaur, Mandeep and Maggio, Sara (2024) Two-loop non-planar four-point topology with massive internal loop. JOURNAL OF HIGH ENERGY PHYSICS (5): 64. ISSN 1029-8479
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We study a set of two-loop non-planar master integrals needed for the NNLO QCD corrections to diphoton and dijet production at hadron colliders. The top-sector topology contains an internal massive fermion loop and is known to contain elliptic curves. Leveraging the method of differential equations, we provide a comprehensive discussion for deriving an & varepsilon;-factorized differential equation related to the most intricate sector within the Feynman integral family. Despite the dependence on multiple scales and the presence of two elliptic sectors, we demonstrate how to leverage the properties of their maximal cuts and the factorization of the Picard-Fuchs operator to deal with the complexity of the analytic computation. In particular, we construct a transformation matrix that brings the differential equations into a format enabling the convenient expression of analytic results in terms of Chen's iterated integrals.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | DIFFERENTIAL-EQUATIONS; FEYNMAN-INTEGRALS; Higher-Order Perturbative Calculations; Differential and Algebraic Geometry; Jets and Jet Substructure |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 04 Dec 2025 07:47 |
| Last Modified: | 04 Dec 2025 07:47 |
| URI: | https://pred.uni-regensburg.de/id/eprint/64664 |
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