High Energy Resummation of Jet Observables

Abstract

In this paper we investigate the extension of high energy resummation at LLx accuracy to jet observables. In particular, we present the high energy resummed expression of the transverse momentum distribution of the outgoing parton in the general partonic process $g(q)+g(q)\to g(q)+X$. In order to reach this result, several new ideas are introduced and exploited. First we prove that LLx resummation is achieved by dressing with hard radiation an off-shell gluon initiated LO process even if its on-shell limit is vanishing or trivial. Then we present a gauge-invariant framework where these calculations can be performed by using the modern helicity techniques. Finally, we show a possible way to restore gluon indistinguishability in the final state, which is otherwise lost in the resummation procedure, at all orders in ${\alpha }_s$ at LLx. All partonic channels are then resummed and cross-checked against fixed-order calculations up to $\mathcal{O}({\alpha }_s^3)$

arXiv comment31 pages, 6 figures

References in corpus (18)

• The Three-Loop Splitting Functions in QCD: The Non-Singlet Case
• The Three-Loop Splitting Functions in QCD: The Singlet Case
• Next-to-leading order calculation of three-jet observables in hadron-hadron collision
• High-Energy Factorization and Small-X Deep Inelastic Scattering Beyond Leading Order
• Gauge invariant effective action for high-energy processes in QCD
• NNLO QCD predictions for single jet inclusive production at the LHC
• Factorization and Resummation of Small x Scaling Violations with Running Coupling
• Resummation of Singlet Parton Evolution at Small x
• Helicity amplitudes for high-energy scattering
• Small-$x$ resummation from HELL
• Small-x Resummation and HERA Structure Function Data
• High Energy Resummation of Drell-Yan Processes
• Wilson lines and gauge invariant off-shell amplitudes
• The Higgs transverse momentum spectrum with finite quark masses beyond leading order
• Small x resummation of rapidity distributions: the case of Higgs production
• Towards parton distribution functions with small-$x$ resummation: HELL 2.0
• Single jet inclusive production for the individual jet $p_T$ scale choice at the LHC
• High energy resummation of transverse momentum distributions:Higgs in gluon fusion