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We present analytic results that describe fully-differential NNLO QCD corrections to deep-inelastic scattering processes within the nested soft-collinear subtraction scheme. This is the last building block required for the application of…

High Energy Physics - Phenomenology · Physics 2020-01-29 Konstantin Asteriadis , Fabrizio Caola , Kirill Melnikov , Raoul Röntsch

We describe the calculation of integrated subtraction terms in the nested soft-collinear subtraction scheme for hadron collider processes with quarks and gluons, thereby extending the results presented in Ref.$~$[1]. Although this extension…

High Energy Physics - Phenomenology · Physics 2025-03-20 Federica Devoto , Kirill Melnikov , Raoul Röntsch , Chiara Signorile-Signorile , Davide Maria Tagliabue , Matteo Tresoldi

We describe how the nested soft-collinear subtraction scheme [1] can be used to compute the next-to-next-to-leading order (NNLO) QCD corrections to the production of an arbitrary number of gluonic jets in hadron collisions. We show that the…

High Energy Physics - Phenomenology · Physics 2025-03-20 Federica Devoto , Kirill Melnikov , Raoul Röntsch , Chiara Signorile-Signorile , Davide Maria Tagliabue

We present analytic formulas that describe fully-differential production of color-singlet final states in $q\bar q$ and $gg$ annihilation, including all the relevant partonic channels, through NNLO QCD. We work within the nested…

High Energy Physics - Phenomenology · Physics 2019-05-22 Fabrizio Caola , Kirill Melnikov , Raoul Röntsch

We present integrated subtraction terms and finite remainders for arbitrary processes with massless partons at hadron and lepton colliders in the context of the nested soft-collinear subtraction scheme. These results provide the very last…

High Energy Physics - Phenomenology · Physics 2026-01-14 Federica Devoto , Kirill Melnikov , Raoul Röntsch , Chiara Signorile-Signorile , Davide Maria Tagliabue , Matteo Tresoldi

In order to numerically compute scattering cross sections in QCD, one needs to deal with various kinematic divergences that appear at intermediate stages of the calculation. One way of doing this is by setting up an IR subtraction scheme.…

High Energy Physics - Phenomenology · Physics 2026-01-06 S. Van Thurenhout , V. Del Duca , C. Duhr , L. Fekésházy , F. Guadagni , P. Mukherjee , G. Somogyi , F. Tramontano

We finish the definition of a subtraction scheme for computing NNLO corrections to QCD jet cross sections. In particular, we perform the integration of the soft-type contributions to the doubly unresolved counterterms via the method of…

High Energy Physics - Phenomenology · Physics 2013-04-12 Gabor Somogyi

In this thesis, the infrared structure of squared matrix elements in quantum chromodynamics (QCD) is scrutinised. Specifically, the triple-collinear splitting functions are decomposed and improvements to antenna subtraction are sought…

High Energy Physics - Phenomenology · Physics 2024-02-14 Oscar Braun-White

We consider the double-soft limit of QCD amplitudes with two massive quarks in a back-to-back kinematics accompanied by two soft partons. We integrate analytically the respective double-soft eikonal functions over the phase space of the two…

High Energy Physics - Phenomenology · Physics 2020-08-26 Wojciech Bizon , Maximilian Delto

We discuss a path toward the generalisation of the nested soft-collinear subtraction scheme to arbitrary $2\rightarrow n$ processes. The scheme is designed to provide an efficient and process-independent procedure to extract and regulate…

High Energy Physics - Phenomenology · Physics 2023-08-24 Chiara Signorile-Signorile , Davide Maria Tagliabue

Within the framework of local analytic sector subtraction, we present the full analytic integration of double-real and real-virtual local infrared counterterms that enter NNLO QCD computations with any number of massless final-state…

High Energy Physics - Phenomenology · Physics 2022-01-17 Lorenzo Magnea , Giovanni Pelliccioli , Chiara Signorile-Signorile , Paolo Torrielli , Sandro Uccirati

We present splitting functions in the triple collinear limit at next-to-leading order. The computation was performed in the context of massless QCD+QED, considering only processes which include at least one photon. Through the comparison of…

High Energy Physics - Phenomenology · Physics 2014-11-21 German F. R. Sborlini , Daniel de Florian , German Rodrigo

We present an NNLO-compatible subtraction scheme for computing QCD jet cross sections of hadron-initiated processes at NLO accuracy. The scheme is constructed specifically with those complications in mind, that emerge when extending the…

High Energy Physics - Phenomenology · Physics 2009-12-04 Gabor Somogyi

We briefly review a subtraction scheme for computing radiative corrections to QCD jet cross sections that can be defined at any order in perturbation theory. Hereafter we discuss the computational methods used to evaluate analytically and…

High Energy Physics - Phenomenology · Physics 2011-04-20 Paolo Bolzoni , Gabor Somogyi

We discuss a modification of the next-to-next-to-leading order (NNLO) subtraction scheme based on the residue-improved sector decomposition that reduces the number of double-real emission sectors from five to four. In particular, a sector…

High Energy Physics - Phenomenology · Physics 2017-05-24 Fabrizio Caola , Kirill Melnikov , Raoul Röntsch

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 extend the antenna subtraction method to include hadron fragmentation processes up to next-to-next-to-leading order (NNLO) in QCD in $e^+e^-$ collisions. To handle collinear singularities associated with the fragmentation process, we…

High Energy Physics - Phenomenology · Physics 2022-11-09 Thomas Gehrmann , Giovanni Stagnitto

We present splitting functions in the triple collinear limit at next-to-leading order in the strong coupling. We performed the computation in the context of massless QCD+QED, and consider first collinear processes which include at least one…

High Energy Physics - Phenomenology · Physics 2015-10-16 German F. R. Sborlini , Daniel de Florian , German Rodrigo

We present compact analytic formulas that describe the decay of colorless particles to both $q \bar q$ and $gg$ final states through next-to-next-to-leading order in perturbative QCD in the context of the nested soft-collinear subtraction…

High Energy Physics - Phenomenology · Physics 2019-11-25 Fabrizio Caola , Kirill Melnikov , Raoul Röntsch

In previous articles we outlined a subtraction scheme for regularizing doubly-real emission and real-virtual emission in next-to-next-to-leading order (NNLO) calculations of jet cross sections in electron-positron annihilation. In order to…

High Energy Physics - Phenomenology · Physics 2008-12-30 Gábor Somogyi , Zoltán Trócsányi
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