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Article Dans Une Revue Journal of High Energy Physics Année : 2020

Two-Loop Integrals for Planar Five-Point One-Mass Processes

Samuel Abreu
  • Fonction : Auteur
Harald Ita
  • Fonction : Auteur
Francesco Moriello
  • Fonction : Auteur
Wladimir Tschernow
  • Fonction : Auteur
Mao Zeng
  • Fonction : Auteur

Résumé

We present the computation of a full set of planar five-point two-loop master integrals with one external mass. These integrals are an important ingredient for two-loop scattering amplitudes for two-jet-associated W-boson production at leading color in QCD. We provide a set of pure integrals together with differential equations in canonical form. We obtain analytic differential equations efficiently from numerical samples over finite fields, fitting an ansatz built from symbol letters. The symbol alphabet itself is constructed from cut differential equations and we find that it can be written in a remarkably compact form. We comment on the analytic properties of the integrals and confirm the extended Steinmann relations, which govern the double discontinuities of Feynman integrals, to all orders in ϵ. We solve the differential equations in terms of generalized power series on single-parameter contours in the space of Mandelstam invariants. This form of the solution trivializes the analytic continuation and the integrals can be evaluated in all kinematic regions with arbitrary numerical precision.

Dates et versions

hal-02628072 , version 1 (26-05-2020)

Identifiants

Citer

Samuel Abreu, Harald Ita, Francesco Moriello, Ben Page, Wladimir Tschernow, et al.. Two-Loop Integrals for Planar Five-Point One-Mass Processes. Journal of High Energy Physics, 2020, 11, pp.117. ⟨10.1007/JHEP11(2020)117⟩. ⟨hal-02628072⟩
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