Abstract
We propose a novel local subtraction scheme for the computation of Next-to-Leading Order contributions to theoretical predictions for scattering processes in perturbative Quantum Field Theory. With respect to well known schemes proposed since many years that build upon the analysis of the real radiation matrix elements, our construction starts from the loop diagrams and exploits their dual representation. Our scheme implements exact phase space factorization, handles final state as well as initial state singularities and is suitable for both massless and massive particles.
Highlights
The success of the physics studies at the LHC, culminated with the discovery of the Higgs boson [1, 2] at CERN [3, 4], has its roots in the deep level of understanding reached in both experimental and theoretical aspects of the physics of hadronic collisions
With respect to well known schemes proposed since many years that build upon the analysis of the real radiation matrix elements, our construction starts from the loop diagrams and exploits their dual representation
At the Next-to-Next-to Leading Order (NNLO), one is faced with the construction of appropriate integration schemes that allows for the cancellation of non integrable infrared and collinear singularities across contributions that live on three different phase spaces
Summary
The success of the physics studies at the LHC, culminated with the discovery of the Higgs boson [1, 2] at CERN [3, 4], has its roots in the deep level of understanding reached in both experimental and theoretical aspects of the physics of hadronic collisions. The possibility to follow such a strategy is very interesting because the high mathematical complexity accompanying the analytic computation of higher loop calculation and that of building a subtraction scheme, might not be there, being replaced by the numerical integration of properly defined integrands. Such integrations are non trivial, but one can think that computer science has already developed a large set of tools to address the associated technicalities. We include two appendices, one with about the counting of the dual counterterms (appendix A) and a second one (appendix B) collecting all the formulae for the numerical implementation of the dual subtraction scheme for NLO QCD corrections to scattering processes involving any number of massless external partons and non coloured particles
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
