Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

Weak radiative corrections to the Drell-Yan process for large invariant mass of a dilepton pair

V. A. Zykunov

TL;DR

This work derives compact asymptotic expressions for weak radiative corrections to the Drell–Yan process at large dilepton invariant mass using Sudakov logarithms. The authors compute heavy-vertex and heavy-box contributions within an on-shell renormalization framework, employing an asymptotic expansion to avoid full multi-loop integrals while retaining leading and subleading log terms. Numerical comparisons at the parton level show good agreement with existing results for high energies, and CMS-level simulations reveal that WW-box corrections dominate the cross section and that the total weak corrections can noticeably alter the dilepton mass distribution at future LHC scales. The study highlights the significance of these corrections for NP searches and lays groundwork for integrating SM radiative backgrounds into fast CMS Monte Carlo tools, while noting further work for QCD, pure QED, and higher-loop effects.

Abstract

The weak radiative corrections to the Drell-Yan process above the Z-peak have been studied. The compact asymptotic expression for the two heavy boson exchange - one of the significant contributions to the investigated process - has been obtained, the results expand in the powers of the Sudakov electroweak logarithms. At the quark level we compare the weak radiative corrections to the total cross section and forward-backward asymmetry with the existing results and achieve a rather good coincidence at \sqrt{s}>= 0.5 TeV. The numerical analysis has been performed in the high energy region corresponding to the future experiments at the CERN Large Hadron Collider (LHC). To simulate the detector acceptance we used the standard CMS detector cuts. It was shown that double Sudakov logarithms of the WW boxes are the dominant contributions in hadronic cross section. The considered radiative corrections are significant at high dilepton mass M and change the dilepton mass distribution up to ~+3(-12)% at the LHC energies and M=1(5) TeV.

Weak radiative corrections to the Drell-Yan process for large invariant mass of a dilepton pair

TL;DR

This work derives compact asymptotic expressions for weak radiative corrections to the Drell–Yan process at large dilepton invariant mass using Sudakov logarithms. The authors compute heavy-vertex and heavy-box contributions within an on-shell renormalization framework, employing an asymptotic expansion to avoid full multi-loop integrals while retaining leading and subleading log terms. Numerical comparisons at the parton level show good agreement with existing results for high energies, and CMS-level simulations reveal that WW-box corrections dominate the cross section and that the total weak corrections can noticeably alter the dilepton mass distribution at future LHC scales. The study highlights the significance of these corrections for NP searches and lays groundwork for integrating SM radiative backgrounds into fast CMS Monte Carlo tools, while noting further work for QCD, pure QED, and higher-loop effects.

Abstract

The weak radiative corrections to the Drell-Yan process above the Z-peak have been studied. The compact asymptotic expression for the two heavy boson exchange - one of the significant contributions to the investigated process - has been obtained, the results expand in the powers of the Sudakov electroweak logarithms. At the quark level we compare the weak radiative corrections to the total cross section and forward-backward asymmetry with the existing results and achieve a rather good coincidence at \sqrt{s}>= 0.5 TeV. The numerical analysis has been performed in the high energy region corresponding to the future experiments at the CERN Large Hadron Collider (LHC). To simulate the detector acceptance we used the standard CMS detector cuts. It was shown that double Sudakov logarithms of the WW boxes are the dominant contributions in hadronic cross section. The considered radiative corrections are significant at high dilepton mass M and change the dilepton mass distribution up to ~+3(-12)% at the LHC energies and M=1(5) TeV.

Paper Structure

This paper contains 9 sections, 50 equations, 4 figures.

Table of Contents

  1. Introduction
  2. Notations and the Born cross section of the Drell-Yan process
  3. Heavy Vertices
  4. Heavy Boxes
  5. Discussion of numerical results
  6. Numerical estimation at the parton level and comparison with the available results
  7. Numerical estimation for future CMS program
  8. Conclusions
  9. Acknowledgments

Figures (4)

  • Figure 1: Feynman graphs for the Born (a) and one-loop (b-h) diagrams with additional virtual heavy bosons corresponding to the WRC. Unsigned helix lines mean $\gamma$ or $Z$.
  • Figure 2: The relative corrections to the total cross section (the left picture) and the forward-backward asymmetry at the parton level (the right picture) for $u\bar{u} \rightarrow \mu^+\mu^-$ as a functions of $\sqrt{s}$. The symbols BSE, HV, ZZ, WW denote the boson self energy, heavy vertex, ZZ-box, WW-box contributions correspondingly. The dashed line correspons to the sum of all contributions. The asterisks are the points taken from FIG. 3 and FIG. 4 of paper DY2002.
  • Figure 3: The region of the cross section integration over $\zeta$ and $y$ taking into consideration the CMS experimental cuts at $\sqrt{S}=14$ TeV and $M$=1 TeV.
  • Figure 4: The relative corrections $\delta_{M}^{C}$ corresponding to the $\rm ZZ, WW, HV, BSE$--contributions with experimental restrictions of the CMS as a functions of $M$. The dashed line corresponds to the sum of all the WRC contributions.