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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…

High Energy Physics - Phenomenology · Physics 2024-08-08 Guido Bell , Bahman Dehnadi , Tobias Mohrmann , Rudi Rahn

The soft function relevant for the production of an electroweak boson (photon, W, Z or H) with large transverse momentum at a hadron collider is computed at next-to-next-to-leading order. This is the first two-loop computation of a soft…

High Energy Physics - Phenomenology · Physics 2015-06-03 Thomas Becher , Guido Bell , Stefanie Marti

We calculate the soft function for the global event variable 1-jettiness at next-to-next-to-leading order (NNLO) in QCD. We focus specifically on the non-Abelian contribution, which, unlike the Abelian part, is not determined by the…

High Energy Physics - Phenomenology · Physics 2018-04-18 John M. Campbell , R. Keith Ellis , Roberto Mondini , Ciaran Williams

We present a systematic framework for the calculation of soft functions that are defined in terms of $N\geq2$ light-like Wilson lines. The formalism represents an extension of a method that we developed earlier for the calculation of dijet…

High Energy Physics - Phenomenology · Physics 2018-08-23 Guido Bell , Bahman Dehnadi , Tobias Mohrmann , Rudi Rahn

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…

High Energy Physics - Phenomenology · Physics 2015-06-03 Radja Boughezal , Xiaohui Liu , Frank Petriello

The N-jettiness event shape divides phase space into N+2 regions, each containing one jet or beam. Using a geometric measure these regions correspond to jets with circular boundaries. We give a factorization theorem for the cross section…

High Energy Physics - Phenomenology · Physics 2011-06-21 Teppo T. Jouttenus , Iain W. Stewart , Frank J. Tackmann , Wouter J. Waalewijn

The transverse-momentum-dependent (TMD) soft function for non-relativistic heavy quark pair production at hadron colliders is analytically computed at next-to-next-to-leading order (NNLO) in the strong coupling expansion. We present the…

High Energy Physics - Phenomenology · Physics 2025-10-21 Hua-Sheng Shao , Guoxing Wang

The $N$-jettiness subtraction has proven to be an efficient method to perform differential QCD next-to-next-to-leading order (NNLO) calculations in the last few years. One important ingredient of this method is the NNLO soft function. We…

High Energy Physics - Phenomenology · Physics 2017-02-03 Hai Tao Li , Jian Wang

We present a new method to compute the soft function for the $N$-Jettiness variable for arbitrary $N$ at high perturbative orders in QCD. It is based on the observation that the most singular part of the soft function, the dipole…

High Energy Physics - Phenomenology · Physics 2026-04-16 Luca Buonocore , Maximilian Delto , Kirill Melnikov , Pier Francesco Monni , Andrey Pikelner , Gherardo Vita

We present a method to calculate the soft function in Soft-Collinear Effective Theory to NLO for N-jet events, defined with respect to arbitrarily complicated observables and algorithms, using a subtraction-based method. We show that at one…

High Energy Physics - Phenomenology · Physics 2011-02-25 Christian W. Bauer , Nicholas Daniel Dunn , Andrew Hornig

We present next-to-next-to-leading-order (NNLO) results for an exclusive soft function that appears in a recently developed factorization theorem for transverse momentum distributions. The factorization theorem, derived using the Soft…

High Energy Physics - Phenomenology · Physics 2011-12-21 Ye Li , Sonny Mantry , Frank Petriello

We calculate the generalized soft functions at $\mathcal{O}(\alpha_s^2)$ at next-to-leading power accuracy for the Drell-Yan process at threshold. The operator definitions of these objects contain explicit insertions of soft gauge and…

High Energy Physics - Phenomenology · Physics 2021-10-27 Alessandro Broggio , Sebastian Jaskiewicz , Leonardo Vernazza

At high values of the pair invariant mass the differential cross section for top-quark pair production at hadron colliders factorizes into soft, hard, and fragmentation functions. In this paper we calculate the next-to-next-to-leading-order…

High Energy Physics - Phenomenology · Physics 2015-06-05 Andrea Ferroglia , Ben D. Pecjak , Li Lin Yang

We present the high-precision result for the zero-jettiness soft function at next-to-next-to-next-to-leading order (N3LO) in perturbative QCD. At this perturbative order, the soft function is the last missing ingredient required for the…

High Energy Physics - Phenomenology · Physics 2025-05-19 Daniel Baranowski , Maximilian Delto , Kirill Melnikov , Andrey Pikelner , Chen-Yu Wang

We introduce a method to compute one-loop soft functions for exclusive $N$-jet processes at hadron colliders, allowing for different definitions of the algorithm that determines the jet regions and of the measurements in those regions. In…

High Energy Physics - Phenomenology · Physics 2017-10-10 Daniele Bertolini , Daniel Kolodrubetz , Duff Neill , Piotr Pietrulewicz , Iain W. Stewart , Frank J. Tackmann , Wouter J. Waalewijn

We compute the two-loop soft function for the associated production of a top quark and a $W$ boson near the threshold, where the invariant mass of the $tW$ system approaches the collider energy. We employ the reverse unitarity technique and…

High Energy Physics - Phenomenology · Physics 2025-06-23 Jia-Le Ding , Hai Tao Li , Jian Wang

We present the first calculation of the next-to-next-to-leading order threshold soft function for top quark pair production at hadron colliders, with full velocity dependence of the massive top quarks. Our results are fully analytic, and…

High Energy Physics - Phenomenology · Physics 2018-07-04 Guoxing Wang , Xiaofeng Xu , Li Lin Yang , Hua Xing Zhu

We develop threshold resummation for single-particle inclusive cross sections in hadron-hadron collisions to the level of next-to-next-to-leading logarithm, up to full matching with two-loop hard functions. We define and calculate all…

High Energy Physics - Phenomenology · Physics 2019-04-03 Patriz Hinderer , Felix Ringer , George Sterman , Werner Vogelsang

We compute the next-to-next-to-leading order (NNLO) soft and virtual QCD corrections for the partonic cross section of colourless-final state processes in hadronic collisions. The results are valid to all orders in the dimensional…

High Energy Physics - Phenomenology · Physics 2013-02-28 Daniel de Florian , Javier Mazzitelli

High energy scattering processes involving jets generically involve matrix elements of light- like Wilson lines, known as soft functions. These describe the structure of soft contributions to observables and encode color and kinematic…

High Energy Physics - Phenomenology · Physics 2017-10-06 Andrew Hornig , Christopher Lee , Iain W. Stewart , Jonathan R. Walsh , Saba Zuberi
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