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Recently, we have presented the result for the zero-jettiness soft function at next-to-next-to-next-to-leading order (N3LO) in perturbative QCD [arXiv:2409.11042], without providing technical details of the calculation. The goal of this…

High Energy Physics - Phenomenology · Physics 2024-12-19 Daniel Baranowski , Maximilian Delto , Kirill Melnikov , Andrey Pikelner , Chen-Yu Wang

The process e+ e- -> 3 jets offers the opportunity to measure the strong coupling constant. For an accurate determination, precise theoretical calculations are necessary. I will give an overview on the status of the next-to-next-to-leading…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stefan Weinzierl

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

Jet vetoes play an important role in many analyses at the LHC. Traditionally, jet vetoes have been imposed using a restriction on the transverse momentum $p_{Tj}$ of jets. Alternatively, one can also consider jet observables for which…

High Energy Physics - Phenomenology · Physics 2020-03-20 Shireen Gangal , Jonathan R. Gaunt , Maximilian Stahlhofen , Frank J. Tackmann

Modern collider phenomenology requires unprecedented precision for the theoretical predictions, for which slicing techniques provide an essential tool at next-to-next-to-leading order (NNLO) in the strong coupling. The most popular slicing…

High Energy Physics - Phenomenology · Physics 2025-10-23 Rong-Jun Fu , Rudi Rahn , Ding Yu Shao , Wouter J. Waalewijn , Bin Wu

In factorization formulae for cross sections of scattering processes, final-state jets are described by jet functions, which are a crucial ingredient in the resummation of large logarithms. We present an approach to calculate generic…

High Energy Physics - Phenomenology · Physics 2020-12-02 Avanish Basdew-Sharma , Franz Herzog , Solange Schrijnder van Velzen , Wouter J. Waalewijn

We derive the leading-power singular terms at three loops for both $q_T$ and 0-jettiness, $\cal{T}_0$, for generic color-singlet processes. Our results provide the complete set of differential subtraction terms for $q_T$ and $\cal{T}_0$…

High Energy Physics - Phenomenology · Physics 2021-02-18 Georgios Billis , Markus A. Ebert , Johannes K. L. Michel , Frank J. Tackmann

We derive the two-loop QCD helicity amplitudes for the processes $l q \to l qg$ ($l \bar q \to l \bar q g$) and $l g \to l q\bar q$, which are the partonic reactions yielding $(2+1)$-jet final states in deep inelastic lepton nucleon…

High Energy Physics - Phenomenology · Physics 2009-06-25 T. Gehrmann , E. W. N. Glover

We present a next-to-next-to-leading-order calculation within the nonrelativistic QCD framework for the process of $e^{+}e^{-} \rightarrow Z^{\ast} \rightarrow J/\psi+J/\psi$ . We find that the NNLO contribution is 2-3 times larger than the…

High Energy Physics - Phenomenology · Physics 2025-10-14 Xiang Chen , Xin Guan , Chuan-Qi He , Yan-Qing Ma

The Higgs-boson production channel $gg\to h$ mediated by light-quark loops receives large logarithmic corrections in QCD, which can be resummed using factorization formulae derived in soft-collinear effective theory. In these factorization…

High Energy Physics - Phenomenology · Physics 2021-10-12 Marvin Schnubel

We consider twist $J$ operators with spin $S$ in the $sl(2)$ sector of $\mathcal N=4$ SYM. The small spin expansion of their anomalous dimension defines the so-called slope functions. Much is known about the linear term, but the study of…

High Energy Physics - Theory · Physics 2015-06-19 Matteo Beccaria , Guido Macorini

We present a detailed derivation of the power corrections to the factorization theorem for the 0-jettiness event shape variable $\mathcal{T}$. Our calculation is performed directly in QCD without using the formalism of effective field…

High Energy Physics - Phenomenology · Physics 2018-08-29 Radja Boughezal , Andrea Isgrò , Frank Petriello

We present a preliminary study of both Single and Double Parton Scattering contributions to the inclusive 4-jet production in the kt-factorization framework at Leading Order and $E_{CM} = 7$ TeV. We compare our results to collinear results…

High Energy Physics - Phenomenology · Physics 2016-08-24 Mirko Serino

We investigate the exclusive jet mass distribution in e+e- events, defined with a veto on the out-of-jet radiation, at two-loop order. In particular, we calculate the two-loop soft function, which is required to describe this distribution…

High Energy Physics - Phenomenology · Physics 2013-05-30 Randall Kelley , Matthew D. Schwartz , Robert M. Schabinger , Hua Xing Zhu

We present the first computation of the complete two-loop, fully-differential soft function describing the production of a heavy-quark pair in association with a color-singlet system at hadron colliders. This result constitutes one of the…

High Energy Physics - Phenomenology · Physics 2025-12-01 Ze Long Liu , Pier Francesco Monni

In view of the forthcoming High-Luminosity phase of the LHC, next-to-next-to-next-to-leading (N$^3$LO) calculations for the most phenomenologically relevant processes become necessary. In this work, we take the first step towards this goal…

High Energy Physics - Phenomenology · Physics 2023-12-07 Thomas Gehrmann , Petr Jakubčík , Cesare Carlo Mella , Nikolaos Syrrakos , Lorenzo Tancredi

The inclusive gluon jet function is evaluated at two-loop accuracy. This function is relevant for resummations of large perturbative logarithms in collider processes involving low-mass gluon jets. The jet function corresponds to the…

High Energy Physics - Phenomenology · Physics 2011-06-27 Thomas Becher , Guido Bell

The resummation for the event-shape variable jet broadening is extended to next-to-next-to-leading logarithmic accuracy by computing the relevant jet and soft functions at one-loop order and the collinear anomaly to two-loop accuracy. The…

High Energy Physics - Phenomenology · Physics 2015-06-11 Thomas Becher , Guido Bell

We compute for the first time the two-loop five-particle amplitude in $\mathcal{N}=8$ supergravity. Starting from the known integrand, we perform an integration-by-parts reduction and express the answer in terms of uniform weight master…

High Energy Physics - Theory · Physics 2019-05-01 D. Chicherin , T. Gehrmann , J. M. Henn , P. Wasser , Y. Zhang , S. Zoia

We derive the hard functions for all 2->2 processes in massless QCD up to next-to-next-to-leading order (NNLO) in the strong coupling constant. By employing the known one- and two-loop helicity amplitudes for these processes, we obtain…

High Energy Physics - Phenomenology · Physics 2015-06-22 Alessandro Broggio , Andrea Ferroglia , Ben D. Pecjak , Zhibai Zhang