Next-to-soft-virtual resummed rapidity distribution for Drell-Yan process to $\rm{\textbf{NNLO}+\overline{\textbf{NNLL}}}$
| Autor: | Ajjath, A. H., Mukherjee, Pooja, Ravindran, V., Sankar, Aparna, Tiwari, Surabhi |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Phys.Rev.D 106 (2022) 3, 034005 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevD.106.034005 |
| Popis: | We present the differential predictions for the rapidity distribution of a pair of leptons through the Drell-Yan (DY) process at the LHC taking into account the soft-virtual (SV) as well as next-to-soft virtual (NSV) resummation effects in QCD perturbation theory to next-to-next-to-leading-order plus next-to-next-to-leading-logarithmic ($\rm{{NNLO+\overline{NNLL}}}$) accuracy. We perform the resummation in two dimensional Mellin space using our recent formalism \cite{Ajjath:2020lwb} by limiting ourselves to contributions only from quark anti-quark ($q \bar q$) initiated channels. The resummed corrections to the fixed order results are computed through a matched formula using the minimal prescription procedure. We find that the resummation at next-to-leading-logarithmic (next-to-next-to-leading-logarithmic) level brings about 3.98\% (1.24\%) corrections respectively to the NLO (NNLO) results at the central scale value of $q=M_Z$ for 13 TeV LHC. We also observe that the sensitivity to the renormalisation scale gets improved substantially by the inclusion of NSV resummed predictions at $\rm \overline{NNLL}$ accuracy. Further, the lack of quark gluon ($qg$) initiated contributions to NSV part in the $\rm \overline{NNLL}$ resummed predictions leaves large factorisation scale dependence indicating their importance at NSV level as we go to higher orders in perturbation theory. Comment: 21 pages, 9 figures, 7 tables. We have corrected some typos in equations 10,11, B3 and B6 and also added Eq 12 in this version |
| Databáze: | arXiv |
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