Multiloop amplitudes are integral part for the computation of higher order corrections in the perturbative expansion of the gauge coupling constants in the standard model, necessary to reduce the theoretical certainty involved and thereby providing reliable as well as realistic predictions that can serve as a testing ground of various theoretical predictions. We exploit the deep underlying connections between Intersection Theory of differential forms and Feynman Integrals, which we recently proposed, to derive a direct and complete decomposition of the integrals to a finite set of basis integrals, known as master integrals as well as to shed further light on the algebraic properties of the Feynman Integrals. We employ the techniques of the numerical integration of the differential equation of the master integrals for their fast, stable and efficient evaluation, which is necessary for further phenomenological investigation. We specifically focus on the loop induced production of Higgs boson associated with a Z boson and di-vector boson (ZZ) production at LHC as a testing ground for these ideas as well as producing results for these processes, which goes beyond the level of accuracy present at the moment.

Kumar Mandal Manoj – INFN PADOVA

Dr. Manoj Kumar Mandal (Ph.D. in Physics in 2016) is a FELLINI fellow at INFN Padova Unit. His research focuses on the computation of higher-order radiative corrections for scattering processes in the Standard Model of particle physics.  His current interests are the applications of the novel Intersection Theory in the case of Feynman integrals, thereby shedding further light on the properties of Feynman integrals.


Manoj Kumar Mandal


31 July 2020


This project receives funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Cofund Action, grant agreement N° 754496.