Resummed Drell-Yan cross-section at N 3 LL
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Springer
Received: April Revised: August Accepted: September Published: October
11, 11, 10, 23,
2020 2020 2020 2020
Resummed Drell-Yan cross-section at N3LL
a
The Institute of Mathematical Sciences, HBNI, IV Cross Road, Taramani, Chennai 600113, India b Theory Group, Deutsches Elektronen-Synchrotron (DESY), Notkestrasse 85, D-22607 Hamburg, Germany c Theoretische Physik 1, Naturwissenschaftlich-Technische Fakult¨ at, Universit¨ at Siegen, Walter-Flex-Strasse 3, 57068 Siegen, Germany d Department of Physics, Indian Institute of Technology Guwahati, Guwahati-781039, India
E-mail: [email protected], [email protected], [email protected], [email protected], [email protected], [email protected] Abstract: We present the resummed predictions for inclusive cross-section for Drell-Yan (DY) production as well as onshell Z, W ± productions at next-to-next-to-next-to leading logarithmic (N3 LL) accuracy. Using the standard techniques, we derive the N -dependent coefficients in the Mellin-N space as well as the N -independent constants and match the resummed result through the minimal prescription procedure with the fixed order results. In addition to the standard ln N exponentiation, we study the numerical impacts of exponentiating N -independent part of the soft function and the complete g 0 that appears in the resummed predictions in N space. All the analytical pieces needed in these different approaches are extracted from the soft-virtual part of the inclusive cross section known to next-to-next-to-next-to leading order (N3 LO). We perform a detailed analysis on the scale and parton distribution function (PDF) variations and present predictions for 13 TeV LHC for the neutral Drell-Yan process as well as onshell charged and neutral vector boson productions. Keywords: Perturbative QCD, Resummation ArXiv ePrint: 2001.11377
c The Authors. Open Access, Article funded by SCOAP3 .
https://doi.org/10.1007/JHEP10(2020)153
JHEP10(2020)153
A.H. Ajjath,a Goutam Das,b,c M.C. Kumar,d Pooja Mukherjee,a V. Ravindrana and Kajal Samantad
Contents 1 Introduction
1
2 Theoretical framework 2.1 Drell-Yan and Z, W ± production 2.2 Soft-virtual cross-section 2.3 Threshold resummation
4 4 5 9 14 14 16 21
4 Conclusions
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A Soft-virtual coefficient in N -space
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B Resummed coeficients B.1 Resummation ingredients B.2 Resummation ingredients B.3 Resummation ingredients B.4 Resummation ingredients
26 26 29 35 38
for for for for
the the the the
Standard N exponentiation Standard N exponentiation Soft exponentiation All exponentiation
C Anomalous dimensions
1
38
Introduction
Standard Model(SM) has been very successful so far in describing the physics of elementary particles. Precision study has played an important role in establishing the SM through the latest discovery of Higgs boson at the Large Hadron Collider (LHC). The properties of the Higgs boson is being studied with higher accuracy. Recent observations at the LHC demonstrate that the systematic precision study is essential to look for a
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