Theory seminar - Pooja Mukherjee

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Speaker: Pooja Mukherjee (University of Bonn)

Title: Next-to SV resumed Drell-Yan cross section beyond leading-logarithmic accuracy

Abstract: We present the resumed predictions for inclusive cross section for Drell-Yan (DY) production up to next-to-next-to-leading logarithmic ( $\rm \overline{ NNLL}$ ) accuracy taking into account both soft virtual (SV) and next-to SV (NSV) threshold logarithms. We restrict ourselves to resumed contributions only from quark anti-quark ( $q \bar q$ ) initiated channels. The resummation is performed in Mellin- $N$-space. We derive the $N$-dependent coefficients and the $N$-independent constants to the desired accuracy for our study. The resumed results are matched through the minimal prescription procedure with the fixed order results. We find that resummation, taking into account the NSV terms, appreciably increases the cross-section while decreasing the sensitivity to the renormalization scale. We observe that, at 13 TeV LHC energies, the SV + NSV summary at $\rm \overline{ NLL} (\rm \overline{NNLL})$ gives about 8% (2%) corrections respectively to the NLO (NNLO) results for the considered Q range: 150–3500 GeV. In addition, the absence of quark-gluon-initiated contributions to the NSV part in the resumed terms leaves large factorization scale dependence indicating their importance at NSV level. In summary, our analysis provides the precise numerical predictions from resumed NSV terms upto $\rm NNLO + \overline {\rm{NNLL}}$ level for the first time to the invariant mass distribution of a pair of leptons produced at the LHC.