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Numerical approaches to higher-order calculations often employ subtraction terms, both for the real emission and the virtual corrections. These subtraction terms have to be added back. In this paper we show that at NLO the real subtraction…

High Energy Physics - Phenomenology · Physics 2016-07-06 Satyajit Seth , Stefan Weinzierl

The factorisation of QCD matrix elements in the limit of two external partons becoming collinear is described by process-independent splitting amplitudes, which can be expanded systematically in perturbation theory. Working in conventional…

High Energy Physics - Phenomenology · Physics 2015-06-23 Claude Duhr , Thomas Gehrmann , Matthieu Jaquier

A next-to-next-to-leading order (NNLO) QCD calculation of gluon distribution function at small-x is presented. The gluon distribution function is explored analytically in the DGLAP approach by a Taylor expansion at small x as two first…

High Energy Physics - Phenomenology · Physics 2018-08-10 Mayuri Devee , J. K. Sarma

An NLO photon parton parametrization is presented based on the existing $F_2^\gamma$ measurements from $e^+e^-$ data and the low-$x$ proton structure function from $ep$ interactions. Also included in the extraction of the NLO parton…

High Energy Physics - Phenomenology · Physics 2011-04-12 Halina Abramowicz , Aharon Levy , Wojtek Slominski

Measurements of Deep Inelastic Scattering (DIS) provide a powerful tool to probe the fundamental structure of protons and other nuclei. The DIS cross sections can be expressed in terms of structure functions which are conventionally…

High Energy Physics - Phenomenology · Physics 2023-07-06 Tuomas Lappi , Heikki Mäntysaari , Hannu Paukkunen , Mirja Tevio

We review our recent paper, where we proved Parton distributions functions (PDFs) to be positive at NLO in the $\overline{MS}$ factorization scheme. We present some additional material that was useful in completing the steps for the actual…

High Energy Physics - Phenomenology · Physics 2021-08-25 Alessandro Candido , Stefano Forte , Felix Hekhorn

A method to facilitate the consistent inclusion of cross-section measurements based on complex final-states from HERA, TEVATRON and the LHC in proton parton density function (PDF) fits has been developed. This can be used to increase the…

High Energy Physics - Phenomenology · Physics 2014-11-20 Tancredi Carli , Dan Clements , Amanda Cooper-Sarkar , Claire Gwenlan , Gavin P. Salam , Frank Siegert , Pavel Starovoitov , Mark Sutton

I report on a formalism introduced recently to combine parton shower Monte Carlo's and next-to-leading order QCD computations.

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

We have computed the complete next-to-next-to-leading order (NNLO) contributions to the splitting functions governing the evolution of unpolarized parton densities in perturbative QCD. Our results agree with all partial results available in…

High Energy Physics - Phenomenology · Physics 2009-11-10 S. Moch , J. A. M. Vermaseren , A. Vogt

The semi-inclusive deep-inelastic scattering (SIDIS) process requires the presence of an identified hadron H$'$ in the final state, which arises from the scattering of a lepton with an initial hadron P. By employing factorization in quantum…

High Energy Physics - Phenomenology · Physics 2025-11-03 Saurav Goyal , Roman N. Lee , Sven-Olaf Moch , Vaibhav Pathak , Narayan Rana , V. Ravindran

The extension of interpolation-grid frameworks for perturbative QCD calculations at next-to-next-to-leading order (NNLO) is presented for deep inelastic scattering (DIS) processes. A fast and flexible evaluation of higher-order predictions…

High Energy Physics - Phenomenology · Physics 2021-08-30 D. Britzger , J. Currie , A. Gehrmann-De Ridder , T. Gehrmann , E. W. N. Glover , C. Gwenlan , A. Huss , T. Morgan , J. Niehues , J. Pires , K. Rabbertz , M. R. Sutton

We incorporate the next-to-leading order (NLO) and the next-to-next-to-leading order (NNLO) effects in the models of the Singlet Structure function F_2^S(x,t) and the gluon distribution G(x,t) using DGLAP equations approximated at small x.…

High Energy Physics - Phenomenology · Physics 2024-11-28 Luxmi Machahari , D. K. Choudhury

We present a NLO calculation of prompt photon production in DIS. The calculation involves direct, fragmentation and resolved contributions. It is performed in the virtual-photon proton center-of-mass system. A comparison of the theoretical…

High Energy Physics - Phenomenology · Physics 2015-05-20 P. Aurenche , Rahul Basu , M. Fontannaz

The photon impact factor for the BFKL pomeron is calculated in the next-to-leading order (NLO) approximation using the operator expansion in Wilson lines. The result is represented as a NLO $k_T$-factorization formula for the structure…

High Energy Physics - Phenomenology · Physics 2014-07-29 Ian Balitsky , Giovanni A. Chirilli

The computation of exclusive QCD jet observables at higher orders requires a method for the subtraction of infrared singular configurations arising from multiple radiation of real partons. We present a subtraction scheme relevant for NNLO…

High Energy Physics - Phenomenology · Physics 2011-05-05 A. Gehrmann--De Ridder , T. Gehrmann , E. W. N. Glover

Parton distributions are constructed in a statistical physical picture of the nucleon. The chiral properties of QCD lead to strong relations between quarks and antiquarks distributions and the importance of the Pauli exclusion principle is…

High Energy Physics - Phenomenology · Physics 2007-05-23 Jacques Soffer

We calculate DIS-scheme splitting and coefficient functions for electromagnetic deep inelastic scattering with small x resummations, as given by the NLL BFKL equation with running coupling and approximate NLL resummed impact factors. The…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. D. White , R. S. Thorne

Coupled DGLAP equations involving singlet quark and gluon distributions are explored by a Taylor expansion as two first order partial differential equations in two variables. The system of equations are then solved by the Lagrange's method…

High Energy Physics - Phenomenology · Physics 2017-01-11 Dilip Kumar Choudhury , Neelakshi Niti Kachari Borah

We initiate the studies on the structural physics of the tower of stable large-$N_c$ mesons through a first computation of the collinear quark-structure of a large-$N_c$ pion using lattice Monte-Carlo methods. We adapt the large-$N_c$…

High Energy Physics - Lattice · Physics 2022-07-08 Nikhil Karthik , Rajamani Narayanan

We present calculations of structure functions using a renormalization scheme consistent expansion which is leading order in both ln(1/x) and \alpha_s(Q^2). There is no factorization scheme dependence, and the ``physical anomalous…

High Energy Physics - Phenomenology · Physics 2009-10-28 Robert S. Thorne