6533b870fe1ef96bd12cf1f7
RESEARCH PRODUCT
The planar double box integral for top pair production with a closed top loop to all orders in the dimensional regularisation parameter
Luise AdamsStefan WeinzierlEkta Chaubeysubject
PhysicsHigh Energy Physics - Theory010308 nuclear & particles physicsFeynman integralLaurent seriesMathematical analysisTriangular matrixFOS: Physical sciencesGeneral Physics and AstronomyOrder (ring theory)01 natural sciencesLoop (topology)Dimensional regularizationHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)PlanarPair productionHigh Energy Physics - Theory (hep-th)0103 physical sciences010306 general physicsdescription
We compute systematically for the planar double box Feynman integral relevant to top pair production with a closed top loop the Laurent expansion in the dimensional regularisation parameter $\varepsilon$. This is done by transforming the system of differential equations for this integral and all its sub-topologies to a form linear in $\varepsilon$, where the $\varepsilon^0$-part is strictly lower triangular. This system is easily solved order by order in the dimensional regularisation parameter $\varepsilon$. This is an example of an elliptic multi-scale integral involving several elliptic sub-topologies. Our methods are applicable to similar problems.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2018-10-01 |