Resummation for (boosted) top-quark pair production at NNLO+NNLL' in QCD

Abstract

We construct predictions for top quark pair differential distributions at hadron colliders that combine state-of-the-art NNLO QCD calculations with double resummation at NNLL' accuracy of threshold logarithms arising from soft gluon emissions and of small mass logarithms. This is the first time a resummed calculation at full NNLO+NNLL' accuracy in QCD for a process with non-trivial color structure has been completed at the differential level. Of main interest to us is the stability of the M_{tt} and top-quark p_T distributions in the boosted regime where fixed order calculations may become strongly dependent on the choice of dynamic scales. With the help of numeric and analytic arguments we confirm that the choice for the factorization and renormalization scales advocated recently by some of the authors is indeed optimal. We further derive a set of optimized kinematics-dependent scales for the matching functions which appear in the resummed calculations. Our NNLO+NNLL' prediction for the top-pair invariant mass is significantly less sensitive to the choice of factorization scale than the fixed order prediction, even at NNLO. Notably, the resummed and fixed order calculations are in nearly perfect agreement with each other in the full M_{tt} range when the optimal dynamic scale is used. For the top-quark p_T distribution the resummation performed here has less of an impact and instead we find that upgrading the matching with fixed-order from NLO+NNLL' to NNLO+NNLL' to be an important effect, a point to be kept in mind when using NLO-based Monte Carlo event generators to calculate this distribution.

arXiv comment45 pages, 12 figures, 2 tables. Updated formatting and included a new appendix. Matches journal version

References in corpus (71)

• Parton distributions for the LHC Run II
• LHAPDF6: parton density access in the LHC precision era
• The total top quark pair production cross-section at hadron colliders through O(alpha_S^4)
• The Three-Loop Splitting Functions in QCD: The Non-Singlet Case
• Top++: a program for the calculation of the top-pair cross-section at hadron colliders
• Cuba - a library for multidimensional numerical integration
• Percent level precision physics at the Tevatron: first genuine NNLO QCD corrections to q qbar -> t tbar + X
• Top-pair production at hadron colliders with next-to-next-to-leading logarithmic soft-gluon resummation
• NNLO corrections to top-pair production at hadron colliders: the all-fermionic scattering channels
• NNLO corrections to top pair production at hadron colliders: the quark-gluon reaction
• On the Structure of Infrared Singularities of Gauge-Theory Amplitudes
• Hadronic top-quark pair production with NNLL threshold resummation
• The Resummation of Soft Gluon in Hadronic Collisions
• NLL resummation of the heavy-quark hadroproduction cross-section
• Resummation for QCD Hard Scattering
• High-precision differential predictions for top-quark pairs at the LHC
• Distributions and correlations for top quark pair production and decay at the Tevatron and LHC.
• Renormalization-Group Improved Predictions for Top-Quark Pair Production at Hadron Colliders
• Complete off-shell effects in top quark pair hadroproduction with leptonic decay at next-to-leading order
• Charge asymmetries of top quarks at hadron colliders revisited
• Infrared singularities of QCD amplitudes with massive partons
• NLO QCD corrections to WWbb production at hadron colliders
• Top-pair production at the LHC through NNLO QCD and NLO EW
• Infrared Factorization, Wilson Lines and the Heavy Quark Limit
• Two-loop divergences of massive scattering amplitudes in non-abelian gauge theories
• The electroweak contribution to the top quark forward-backward asymmetry at the Tevatron
• Two-loop soft anomalous dimensions and NNLL resummation for heavy quark production
• Resolving the Tevatron Top Quark Forward-Backward Asymmetry Puzzle: Fully Differential Next-to-Next-to-Leading-Order Calculation
• Top quark and leptonic charge asymmetries for the Tevatron and LHC
• Two-loop divergences of scattering amplitudes with massive partons
• NLO QCD corrections to off-shell top-antitop production with leptonic decays at hadron colliders
• Threshold Resummation for Top-Pair Hadroproduction to Next-to-Next-to-Leading Log
• Higher-Order Corrections in Threshold Resummation
• Electroweak effects in top-quark pair production at Hadron Colliders
• Joint resummation in electroweak boson production
• Heavy-quark production in gluon fusion at two loops in QCD
• Dynamical scales for multi-TeV top-pair production at the LHC
• Threshold resummation for pair production of coloured heavy (s)particles at hadron colliders
• Weak interaction corrections to hadronic top quark pair production
• Virtual amplitudes and threshold behaviour of hadronic top-quark pair-production cross sections
• Heavy-quark production in massless quark scattering at two loops in QCD
• Electroweak Sudakov Corrections and the Top Quark Forward-Backward Asymmetry
• Electroweak corrections to top-quark pair production in quark--antiquark annihilation
• Resummed Higgs cross section at N${}^3$LL
• Perturbative Heavy Quark Fragmentation Function through O(alpha_s^2)
• Weak Interactions in Top-Quark Pair Production at Hadron Colliders: An Update
• RG-improved single-particle inclusive cross sections and forward-backward asymmetry in $t\bar{t}$ production at hadron colliders
• NLO electroweak corrections to off-shell top-antitop production with leptonic decays at the LHC
• Mixed QCD and weak corrections to top quark pair production at hadron colliders
• Introduction to Soft-Collinear Effective Theory
• The top induced backgrounds to Higgs production in the WW -> llvv decay channel at NLO in QCD
• Measurements of $t\bar{t}$ differential cross-sections of highly boosted top quarks decaying to all-hadronic final states in $pp$ collisions at $\sqrt{s}=13$ TeV using the ATLAS detector
• Parton distributions with threshold resummation
• NLO QED contributions to top-pair production at hadron collider
• The impact of the photon PDF and electroweak corrections on $t\bar{t}$ distributions
• NLO+NLL squark and gluino production cross-sections with threshold-improved parton distributions
• Weak interaction corrections to hadronic top quark pair production: contributions from quark-gluon and $b\bar{b}$ induced reactions
• Heavy quark pair production in gluon fusion at next-to-next-to-leading $\mathcal{O}({\alpha }_s^4)$ order: One-loop squared contributions
• Resummed differential cross sections for top-quark pairs at the LHC
• Threshold resummation in SCET vs. perturbative QCD: an analytic comparison
• NNLL resummation for the associated production of a top pair and a Higgs boson at the LHC
• Resummation prescriptions and ambiguities in SCET vs. direct QCD: Higgs production as a case study
• Soft-gluon resummation for boosted top-quark production at hadron colliders
• NNLO hard functions in massless QCD
• Boosted top production: factorization and resummation for single-particle inclusive distributions
• Study of weak corrections to Drell-Yan, top-quark pair and dijet Production at high energies with MCFM
• Associated production of a top pair and a Z boson at the LHC to NNLL accuracy
• The NNLO soft function for the pair invariant mass distribution of boosted top quarks
• Next-to-next-to-leading order $\mathcal{O}({\alpha }_s^4)$ results for heavy quark pair production in quark--antiquark collisions: The one-loop squared contributions
• Associated production of a top pair and a W boson at next-to-next-to-leading logarithmic accuracy
• Borel resummation of soft gluon radiation and higher twists

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• Determination of the top-quark mass from top-quark pair events with the matrix element method at next-to-leading order: Potential and prospects
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