The N-jettiness soft function at next-to-next-to-leading order

Abstract

We present a general framework for the calculation of soft functions for SCET_I observables through next-to-next-to-leading order (NNLO) in the strong coupling constant. As an example of our formalism we show how it can be used to obtain the complete NNLO soft function for the $N$-jettiness event shape variable. We present numerical results for two examples with phenomenological impact: the one-jettiness soft function for both electron-proton and proton-proton collisions.

22 pages, 19 figures

References in corpus (9)

• An NNLO subtraction formalism in hadron collisions and its application to Higgs boson production at the LHC
• A novel subtraction scheme for double-real radiation at NNLO
• Toward a NNLO calculation of the B-->X_s+gamma decay rate with a cut on photon energy: II. Two-loop result for the jet function
• The gluon jet function at two-loop order
• The Soft Function for Exclusive N-Jet Production at Hadron Colliders
• The Gluon Beam Function at Two Loops
• Rapidity-Dependent Jet Vetoes
• Analytic Calculation of 1-Jettiness in DIS at $\mathcal{O}({\alpha }_s)$
• Jet vetoes for Higgs production at future hadron colliders

Cited by in corpus (17)

• N-Jettiness Subtractions for $gg\to H$ at Subleading Power
• May the four be with you: Novel IR-subtraction methods to tackle NNLO calculations
• Threshold and jet radius joint resummation for single-inclusive jet production
• Single-top-quark production in the $t$-channel at NNLO
• The impact of the LHC Z-boson transverse momentum data on PDF determinations
• Single-inclusive jet production in electron-nucleon collisions through next-to-next-to-leading order in perturbative QCD
• Third order QCD predictions for fiducial W-boson production
• Next-to-Next-to-Leading Order $N$-Jettiness Soft Function for One Massive Colored Particle Production at Hadron Colliders
• The spin-dependent quark beam function at NNLO
• Power corrections in a transverse-momentum cut for vector-boson production at NNLO: the $qg$-initiated real-virtual contribution
• Antenna subtraction at NNLO with identified hadrons
• Two-loop $N$-jettiness soft function for $pp\to 2j$ production
• One-loop corrections to the double-real emission contribution to the zero-jettiness soft function at N3LO in QCD
• Inclusive jet and dijet productions using $k_t$ and $(z,k_t)\text{-factorizations}$ versus ZEUS collaboration data
• The Unresolved Behaviour of Polarized Scattering Matrix Elements at NNLO in QCD
• Monte Carlo Event Generators
• Jet Charge with Global Event Shapes: Probing Quark Flavor Dynamics