Precision theory for LHC/FCC : new results for the five point function and interface between KKMC-hh and MG5_aMC@NLO.

The development of large colliders provides us with the opportunity to discover the fundamental particles in nature and explore the interactions among them. The Standard Model (SM) of particle physics reflects our best knowledge of elementary particles and their interactions at present, which is formulated by a gauge quantum field theory with gauge symmetry SU(3)C ⊗ SU(2)L ⊗ U(1)Y. With the discovery of the Higgs boson, the era of the sub-1% precision on processes such as Z and W production is approaching us. In order to achieve the 1% theoretical precision tag, we have to take radiative corrections into account and develop more precise Monte Carlo generators. In this dissertation, we first developed the computer realization of the magic spinor product method in loop integrals proposed by B. F. L. Ward to evaluate the general five-point function numerically. The result from magic spinor product method agrees with that from LoopTools overall. Additionally, we also developed an approach to achieve the next-to-the-leading order QCD and the electroweak (EW) exact O(αs ⊗ α2L) corrections, interfacing MG5_aMC@NLO with KKMC-hh by merging their LHE files. By comparing the results of the Drell-Yan process obtained by KKMC-hh, MG5_aMC@NLO and KKMC-hh interfaced with MG5_aMC@NLO , at √s = 13 TeV with the ATLAS cuts on the Z/γ∗ production and decay to lepton pairs, respectively, we find that the results derived from KKMC-hh interfaced with MG5_aMC@NLO would generate enhancements from those derived from MG5_aMC@NLO, which is due to the EW corrections provided by KKMC-hh.