6533b862fe1ef96bd12c7715
RESEARCH PRODUCT
Numerical integration of subtraction terms
Stefan WeinzierlSatyajit Sethsubject
Physics010308 nuclear & particles physicsSubtractionOrder (ring theory)FOS: Physical sciencesField (mathematics)PartonExtension (predicate logic)01 natural sciencesNumerical integrationRenormalizationHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)Quantum electrodynamics0103 physical sciencesApplied mathematicsHardware_ARITHMETICANDLOGICSTRUCTURES010306 general physicsRepresentation (mathematics)description
Numerical approaches to higher-order calculations often employ subtraction terms, both for the real emission and the virtual corrections. These subtraction terms have to be added back. In this paper we show that at NLO the real subtraction terms, the virtual subtraction terms, the integral representations of the field renormalisation constants and -- in the case of initial-state partons -- the integral representation for the collinear counterterm can be grouped together to give finite integrals, which can be evaluated numerically. This is useful for an extension towards NNLO.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-05-21 |