Alladi Ramakrishnan Hall

Next-to-Soft Virtual resummed corrections to processes at the LHC

Surabhi Tiwari

IMSc, Chennai

In this talk, I will present the resummed predictions consisting of both
soft-virtual(SV) as well as next-to-SV(NSV) threshold logarithms to all
orders in perturbative QCD for the inclusive cross-section for Drell–Yan
(DY) production and for the rapidity distribution of Higgs Boson till
next-to-next-to-leading logarithmic accuracy at LHC. Using our recent
formalism, the resummation is carried out in the Mellin space for
the inclusive case and is later extended to the rapidity case using the
double Mellin space. We restrict ourselves to resummed contributions coming
only for diagonal channels for both DY and Higgs production. We perform the
inverse Mellin transformation using the minimal prescription procedure and
match it with the corresponding fixed order results. We do a detailed
analysis of the numerical impact of the resummed result. We find that the
resummation, taking into account the NSV terms, appreciably increases the
cross-section while decreasing the sensitivity to renormalization scale for
both inclusive as well as rapidity distribution for the above-mentioned
processes. However, the uncertainty due to factorization scale increases
with the addition of resummed SV+NSV predictions to the fixed order
predictions for both the cases.