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Threshold Resummation of Drell-Yan type colorless processes at LHC

Goutam Das, Chinmoy Dey, M C Kumar, Kajal Samanta

Abstract

We look at the threshold effects in neutral and charged Drell-Yan production, Higgs boson production with a massive vector boson, and Higgs production in bottom quark annihilation at the Large Hadron Collider (LHC), up to the third order in QCD. Using third-order soft-virtual (SV) results and the universal properties of threshold logarithms, we find the process-dependent coefficients and improve the accuracy by including large threshold logarithms up to next-to-next-to-next-to-leading logarithmic (N$^3$LL) order and matched with the latest N$^3$LO results. We also show numerical results for the invariant mass distributions and total production cross sections for these processes. Our findings show that the theoretical scale uncertainties, which are about $0.4\%$ at N$^3$LO in fixed-order calculations, decrease to less than $0.1\%$ at N$^3$LO+N$^3$LL after SV threshold resummation in the high invariant mass region.

Threshold Resummation of Drell-Yan type colorless processes at LHC

Abstract

We look at the threshold effects in neutral and charged Drell-Yan production, Higgs boson production with a massive vector boson, and Higgs production in bottom quark annihilation at the Large Hadron Collider (LHC), up to the third order in QCD. Using third-order soft-virtual (SV) results and the universal properties of threshold logarithms, we find the process-dependent coefficients and improve the accuracy by including large threshold logarithms up to next-to-next-to-next-to-leading logarithmic (NLL) order and matched with the latest NLO results. We also show numerical results for the invariant mass distributions and total production cross sections for these processes. Our findings show that the theoretical scale uncertainties, which are about at NLO in fixed-order calculations, decrease to less than at NLO+NLL after SV threshold resummation in the high invariant mass region.
Paper Structure (4 sections, 13 equations, 6 figures)

This paper contains 4 sections, 13 equations, 6 figures.

Table of Contents

  1. Introduction
  2. Theoretical framework
  3. Numerical results
  4. Summary

Figures (6)

  • Figure 1: Invariant mass distribution of $ZH$ for $13$ TeV LHC resummed (left) with fixed order (middle) and the resummed (right) K-factor.
  • Figure 2: Resummed K-factor of $WH$ for $13$ TeV LHC $W^-H$ (left) and $W^+H$ (right).
  • Figure 3: The $7$-point scale uncertainty for $ZH$, FO (left panel), resummed (middle panel) and comparison between FO and resummed (right panel).
  • Figure 4: Behavior of invariant mass distributions for different PDF groups at N$^{3}$LO+N$^{3}$LL for $ZH$ (left panel), W$^-$H (middle panel) and W$^+$H (right panel) with 7-point scale variation in band and (central value) normalized to the default choice of MMHT2014.
  • Figure 5: The intrinsic PDF uncertainties in the resummed results for $VH$ production processes at N$^3$LO+N$^3$LL, obtained from MMHT2014nnlo68cl PDF sets.
  • ...and 1 more figures