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Related papers: $N$-Jettiness Soft Functions Made Simple

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We analyze the effects of jet algorithms on each factorized part of the dijet cross sections in $e^+ e^-$ scattering using the soft-collinear effective theory. The jet function and the soft function with a cone-type jet algorithm and the…

High Energy Physics - Phenomenology · Physics 2015-08-19 Junegone Chay , Chul Kim , Inchol Kim

We present a novel subtraction method to remove the soft and collinear divergences at next-to-leading order for processes involving an arbitrary number of fragmentation functions, where this method acts directly in the hadronic…

High Energy Physics - Phenomenology · Physics 2024-03-22 M. S. Zidi , J. Ph. Guillet , I. Schienbein , H. Zaraket

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

The cross section for top quark pair production factorizes at small transverse momentum of the heavy quark pair, $q_T$. One of the key ingredients that appears in the factorization formula is the soft function, which mediates soft gluon…

High Energy Physics - Phenomenology · Physics 2018-11-15 Rene Angeles-Martinez , Michal Czakon , Sebastian Sapeta

We present the calculation of the two-loop soft function for the transverse momentum distribution of the leading jet produced in association with any colour-singlet system (e.g.~a Higgs or a $Z$ boson). This constitutes a central ingredient…

High Energy Physics - Phenomenology · Physics 2022-09-14 Samuel Abreu , Jonathan R. Gaunt , Pier Francesco Monni , Robert Szafron

The zero-jettiness beam functions describe collinear emissions from initial state legs and appear in the factorisation theorem for cross sections in the limit of small zero-jettiness. They are an important building block for slicing schemes…

High Energy Physics - Phenomenology · Physics 2022-07-18 Arnd Behring

We obtain analytic results for integrated triple-collinear splitting functions that emerge as collinear counter-terms in the context of the nested soft-collinear subtraction scheme arXiv:1702.01352 . With these results, all integrated…

High Energy Physics - Phenomenology · Physics 2019-08-19 Maximilian Delto , Kirill Melnikov

A general method for calculating \NLO cross sections in perturbative QCD is presented. The algorithm is worked out for calculating $N$-jet cross sections in hadron-hadron collisions. The generalization of the scheme to performing…

High Energy Physics - Phenomenology · Physics 2009-10-30 Zoltán Nagy , Zoltán Trócsányi

We calculate the beam function for longitudinally-polarized quarks through next-to-next-to-leading order (NNLO) in QCD perturbation theory. This is the last missing ingredient needed to apply the factorization theorem for the $N$-jettiness…

High Energy Physics - Phenomenology · Physics 2017-08-09 Radja Boughezal , Frank Petriello , Ulrich Schubert , Hongxi Xing

We develop a new formalism to describe the inclusive production of small radius jets in heavy-ion collisions, which is consistent with jet calculations in the simpler proton-proton system. Only at next-to-leading order (NLO) and beyond, the…

High Energy Physics - Phenomenology · Physics 2017-04-07 Zhong-Bo Kang , Felix Ringer , Ivan Vitev

In this talk we examine how one-loop soft and collinear splitting functions occur in the calculation of next-to-next-to-leading order (NNLO) corrections to production rates, and we present the one-loop gluon soft and splitting functions,…

High Energy Physics - Phenomenology · Physics 2007-05-23 Zvi Bern , Vittorio Del Duca , William B. Kilgore , Carl R. Schmidt

We discuss an algorithm for the numerical evaluation of NLO multiparton processes. We focus hereby on the virtual part of the NLO calculation, i.e. on evaluating the one-loop integration numerically. We employ and extend the ideas of the…

High Energy Physics - Phenomenology · Physics 2012-09-14 S. Becker , D. Goetz , C. Reuschle , C. Schwan , S. Weinzierl

The soft theorem states that scattering amplitude in gauge theory with a soft gauge-boson emission can be factorized into a hard scattering amplitude and a soft factor. In this paper, we present calculations of the soft factor for processes…

High Energy Physics - Phenomenology · Physics 2024-01-25 Wen Chen , Ming-xing Luo , Tong-Zhi Yang , Hua Xing Zhu

We consider QCD radiative corrections to the production of a heavy-quark pair in hadronic collisions. We present the computation of the soft-parton contributions at low transverse momentum of the heavy-quark pair up to second order in the…

High Energy Physics - Phenomenology · Physics 2023-05-17 Stefano Catani , Simone Devoto , Massimiliano Grazzini , Javier Mazzitelli

We present a novel framework to streamline the calculation of jet and beam functions to next-to-next-to-leading order (NNLO) in perturbation theory. By exploiting the infrared behaviour of the collinear splitting functions, we factorise the…

High Energy Physics - Phenomenology · Physics 2021-10-29 Guido Bell , Kevin Brune , Goutam Das , Marcel Wald

We present a systematic framework to study the threshold contributions of the differential rapidity distribution for the production of any number of colorless particles in the hadronic colliders. This has been achieved based on the…

High Energy Physics - Phenomenology · Physics 2021-10-29 Taushif Ahmed , Ajjath A. H. , Pooja Mukherjee , V. Ravindran , Aparna Sankar

We compute the ratio of the inclusive jet cross-sections obtained with the same jet algorithm at two different values of the jet radius. We perform a computation of that observable at NLO (O(alphas^2)) in perturbative QCD and compute…

High Energy Physics - Phenomenology · Physics 2011-03-21 Gregory Soyez

The perturbative QCD approach, based on Modified Leading Log Approximation and Local Parton Hadron Duality, is shown to describe inclusive features of multiparticle production in the soft region. Further predictions of this approach are…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Lupia

We briefly describe a new general algorithm for carrying out QCD calculations to next-to-leading order in perturbation theory. The algorithm can be used for computing arbitrary jet cross sections in arbitrary processes and can be…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stefano Catani , Michael H. Seymour

Many collider observables suffer from non-global logarithms not captured by standard resummation techniques. Classic examples are the light-jet mass event shape in the limit of small mass and the related hemisphere soft function. We derive…

High Energy Physics - Phenomenology · Physics 2016-12-21 Thomas Becher , Benjamin D. Pecjak , Ding Yu Shao