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Three-loop ladder diagrams with two off-shell legs
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We present an analytic calculation of three-loop four-point Feynman integrals with two off-shell legs of equal mass. We provide solutions to the canonical differential equations of two integral families in both Euclidean and physical regions. They are validated numerically against independent computations. A total of 170 master integrals are expressed in terms of multiple polylogarithms up to weight six. Most of them are computed for the first time. Our results are essential ingredients of the scattering amplitudes for equal-mass diboson production at next-to-next-to-next-to-leading-order QCD at the LHC.
Forward citations
Cited by 3 Pith papers
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An Analytic Computation of Three-Loop Five-Point Feynman Integrals
First analytic evaluation of the three-loop five-point pentagon-box-box Feynman integral family up to transcendental weight six, using canonical differential equations and a new one-fold integral representation.
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All planar three-loop Feynman integrals for the production of two vector bosons at hadron colliders
All nine planar three-loop four-point integral families for two massive external legs are cast into canonical differential equations and evaluated numerically, completing the set needed for leading-colour N3LO diboson...
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LINE: Loop Integrals Numerical Evaluation
LINE numerically evaluates loop master integrals by solving their differential equations with series expansions, with boundary conditions from auxiliary mass flow or expansion by regions.
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