6533b873fe1ef96bd12d44c8
RESEARCH PRODUCT
All Master Integrals for Three-Jet Production at Next-to-Next-to-Leading Order
Simone ZoiaY.-h. ZhangDmitry ChicherinThomas GehrmannJohannes M. HennPascal Wassersubject
PhysicsJet (mathematics)530 PhysicsDifferential equationGeneral Physics and Astronomy10192 Physics Institute01 natural sciences3100 General Physics and AstronomyMassless particleDimensional regularizationSingularity0103 physical sciencesGravitational singularityCanonical form010306 general physicsConstant (mathematics)Mathematical physicsdescription
We evaluate analytically all previously unknown nonplanar master integrals for massless five-particle scattering at two loops, using the differential equations method. A canonical form of the differential equations is obtained by identifying integrals with constant leading singularities, in D space-time dimensions. These integrals evaluate to Q-linear combinations of multiple polylogarithms of uniform weight at each order in the expansion in the dimensional regularization parameter and are in agreement with previous conjectures for nonplanar pentagon functions. Our results provide the complete set of two-loop Feynman integrals for any massless 2→3 scattering process, thereby opening up a new level of precision collider phenomenology.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2019-07-25 | Physical Review Letters |