The NNLO soft function for N-jettiness in hadronic collisions

Abstract

We compute the N-jettiness soft function in hadronic collisions to next-to-next-to-leading order (NNLO) in the strong-coupling expansion. Our calculation is based on an extension of the SoftSERVE framework to soft functions that involve an arbitrary number of lightlike Wilson lines. We present numerical results for 1-jettiness and 2-jettiness, and illustrate that our formalism carries over to a generic number of jets by calculating a few benchmark points for 3-jettiness. We also perform a detailed analytic study of the asymptotic behaviour of the soft-function coefficients at the edges of phase space, when one of the jets becomes collinear to another jet or beam direction, and comment on previous calculations of the N-jettiness soft function.

61 pages, 14 figures, ancillary file containing numerical result grids included, published version

References in corpus (9)

• 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 Quark Beam Function at NNLL
• The N-jettiness soft function at next-to-next-to-leading order
• The gluon jet function at two-loop order
• The Soft Function for Exclusive N-Jet Production at Hadron Colliders
• Glauber Gluons and Multiple Parton Interactions
• The Gluon Beam Function at Two Loops
• N-Jettiness Subtractions for $gg\to H$ at Subleading Power
• Two-loop $N$-jettiness soft function for $pp\to 2j$ production

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• Region analysis of $H\to \gamma \gamma$ via a bottom quark loop
• $q_T$-slicing with multiple jets