Zero-jettiness resummation for top-quark pair production at the LHC

Abstract

We study the resummation of the $0$-jettiness resolution variable ${\mathcal{T}}_0$ for the top-quark pair production process in hadronic collisions. Starting from an effective theory framework we derive a factorisation formula for this observable which allows its resummation at any logarithmic order in the ${\mathcal{T}}_0\to 0$ limit. We then calculate the $\mathcal{O}({\alpha }_s)$ corrections to the soft function matrices and, by employing renormalisation group equation methods, we obtain the ingredients for the resummation formula up to next-to-next-to-leading logarithmic ($\mathrm{NNLL}$) accuracy. We study the impact of these corrections to the $0$-jettiness distribution by comparing predictions at different accuracy orders: $\mathrm{NLL}$, ${\mathrm{NLL}}^{\prime }$, $\mathrm{NNLL}$ and approximate ${\mathrm{NNLL}}^{\prime }$ (${\mathrm{NNLL}}_{\text{a}}^{\prime }$). We match these results to the corresponding fixed order calculations both at leading order and next-to-leading order for the $t\bar{t}+$jet production process, obtaining the most accurate prediction of the $0$-jettiness distribution for the top-quark pair production process at ${\mathrm{NNLL}}_{\text{a}}^{\prime }+\mathrm{NLO}$ accuracy.

42 pages, 5 figures

References in corpus (21)

• LHAPDF6: parton density access in the LHC precision era
• Jets from Massive Unstable Particles: Top-Mass Determination
• Treating the b quark distribution function with reliable uncertainties
• Threshold Resummation in Momentum Space from Effective Field Theory
• Top Jets in the Peak Region: Factorization Analysis with NLL Resummation
• The Quark Beam Function at NNLL
• Top-quark pair hadroproduction at next-to-next-to-leading order in QCD
• Electroweak effects in top-quark pair production at Hadron Colliders
• The Soft Function for Exclusive N-Jet Production at Hadron Colliders
• NLO electroweak corrections to off-shell top-antitop production with leptonic decays at the LHC
• The Gluon Beam Function at Two Loops
• Higgsstrahlung at NNLL${}^{\prime }+$NNLO Matched to Parton Showers in GENEVA
• NNLL resummation for the associated production of a top pair and a Higgs boson at the LHC
• Top-quark pair hadroproduction at NNLO: differential predictions with the MSbar mass
• Matching NNLO to parton shower using N${}^3$LL colour-singlet transverse momentum resummation in GENEVA
• Renormalization-group improved fully differential cross sections for top pair production
• Associated production of a top pair and a W boson at next-to-next-to-leading logarithmic accuracy
• Top-quark pair-production and decay at high precision
• Determination of the strong coupling constant ${\alpha }_s(m_Z)$ from measurements of the total cross section for top-antitop quark production
• Next-to-next-to-leading order event generation for $Z$ boson pair production matched to parton shower
• New ideas for handling of loop and angular integrals in D-dimensions in QCD

Cited by in corpus (20)

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• Les Houches 2021: Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
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• On phase-space integrals with Heaviside functions
• Numerical evaluation of two-loop QCD helicity amplitudes for $gg\to t\bar{t}g$ at leading colour
• Non-local slicing approaches for NNLO QCD in MCFM
• The NNLO soft function for N-jettiness in hadronic collisions
• Refining the GENEVA method for Higgs boson production via gluon fusion
• Constraining the top-quark mass within the global MSHT PDF fit
• Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
• One-loop corrections to the double-real emission contribution to the zero-jettiness soft function at N3LO in QCD
• Jet veto resummation for STXS $H+$1-jet bins at aNNLL${}^{\prime }$+NNLO
• Double virtual QCD corrections to $t\bar{t}+$jet production at the LHC
• Analytic NNLO transverse-momentum-dependent soft function for heavy quark pair hadroproduction at threshold
• Asymptotic behavior of angular integrals in the massless limit
• Reweighting simulated events using machine-learning techniques in the CMS experiment
• Angular integrals with three denominators via IBP, mass reduction, dimensional shift, and differential equations
• The $q_{\mathrm{T}}$ and $\Delta {\varphi }_{t\bar{t}}$ spectra in top-antitop hadroproduction at NNLL+NNLO: the interplay of soft-collinear resummation and Coulomb singularities
• Nucleon Tomography with 0-jettiness