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NNNLO soft-gluon corrections for the top-quark $p_T$ and rapidity distributions

Nikolaos Kidonakis

TL;DR

The paper addresses the need for higher-precision predictions of differential top-quark distributions in tt̄ production by extending soft-gluon resummation to approximate NNNLO (aNNNLO). It develops the NNLL-based framework to derive NNNLO soft contributions for the double-differential cross section and applies it to top-quark transverse momentum and rapidity observables at LHC and Tevatron energies, using MSTW2008 NNLO PDFs. The main result is aNNNLO predictions for $p_T$ and $Y$ distributions that exhibit reduced scale uncertainties and enhanced corrections in high-energy or large-rapidity regions, with numerical consistency checks against integrated total cross sections. These improvements sharpen SM top-quark phenomenology and bolster precision tests and new-physics searches at hadron colliders.

Abstract

I present a calculation of next-to-next-to-next-to-leading-order (NNNLO) soft-gluon corrections for differential distributions in top-antitop pair production in hadronic collisions. Approximate NNNLO (aNNNLO) results are obtained from soft-gluon resummation. Theoretical predictions are shown for the top-quark aNNNLO transverse momentum ($p_T$) and rapidity distributions at LHC and Tevatron energies. The aNNNLO corrections enhance previous results for the distributions but have smaller theoretical uncertainties.

NNNLO soft-gluon corrections for the top-quark $p_T$ and rapidity distributions

TL;DR

The paper addresses the need for higher-precision predictions of differential top-quark distributions in tt̄ production by extending soft-gluon resummation to approximate NNNLO (aNNNLO). It develops the NNLL-based framework to derive NNNLO soft contributions for the double-differential cross section and applies it to top-quark transverse momentum and rapidity observables at LHC and Tevatron energies, using MSTW2008 NNLO PDFs. The main result is aNNNLO predictions for and distributions that exhibit reduced scale uncertainties and enhanced corrections in high-energy or large-rapidity regions, with numerical consistency checks against integrated total cross sections. These improvements sharpen SM top-quark phenomenology and bolster precision tests and new-physics searches at hadron colliders.

Abstract

I present a calculation of next-to-next-to-next-to-leading-order (NNNLO) soft-gluon corrections for differential distributions in top-antitop pair production in hadronic collisions. Approximate NNNLO (aNNNLO) results are obtained from soft-gluon resummation. Theoretical predictions are shown for the top-quark aNNNLO transverse momentum () and rapidity distributions at LHC and Tevatron energies. The aNNNLO corrections enhance previous results for the distributions but have smaller theoretical uncertainties.

Paper Structure

This paper contains 5 sections, 19 equations, 8 figures.

Table of Contents

  1. Introduction
  2. Soft-gluon corrections and kinematics for differential distributions
  3. Top-quark transverse momentum distributions
  4. Top-quark rapidity distributions
  5. Conclusions

Figures (8)

  • Figure 1: The aNNNLO top-quark $p_T$ distributions in $t{\bar{t}}$ production at the LHC with $\sqrt{S}=7$ and 8 TeV.
  • Figure 2: The aNNNLO top-quark $p_T$ distributions in $t{\bar{t}}$ production at the LHC with $\sqrt{S}=13$ and 14 TeV.
  • Figure 3: The aNNNLO top-quark $p_T$ distributions at high $p_T$ in $t{\bar{t}}$ production at the LHC with $\sqrt{S}=7$, 8, 13, and 14 TeV. The inset plot shows the $K$ factors.
  • Figure 4: The aNNNLO top-quark $p_T$ distributions in $t{\bar{t}}$ production at the Tevatron with $\sqrt{S}=1.96$ TeV.
  • Figure 5: The aNNNLO top-quark rapidity distributions in $t{\bar{t}}$ production at the LHC with $\sqrt{S}=7$ and 8 TeV.
  • ...and 3 more figures