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An exact formula is derived for the infrared singularities of dimensionally regularized scattering amplitudes in massless QCD with an arbitrary number of legs, valid at any number of loops. It is based on the conjecture that the…

High Energy Physics - Phenomenology · Physics 2013-10-23 Thomas Becher , Matthias Neubert

We perform the integration of all iterated singly-unresolved subtraction terms, as defined in ref. [1], over the two-particle factorized phase space. We also sum over the unresolved parton flavours. The final result can be written as a…

High Energy Physics - Phenomenology · Physics 2011-05-10 Paolo Bolzoni , Gabor Somogyi , Zoltan Trocsanyi

We describe the calculation of the next-to-next-to-leading order (NNLO) QCD corrections to three-jet production and related event shape observables in electron-positron annihilation. Infrared singularities due to double real radiation at…

High Energy Physics - Phenomenology · Physics 2008-12-30 A. Gehrmann-De Ridder , T. Gehrmann , E. W. N. Glover , G. Heinrich

Power corrections to differential cross sections near a kinematic threshold are analysed by Dressed Gluon Exponentiation. Exploiting the factorization property of soft and collinear radiation, the dominant radiative corrections in the…

High Energy Physics - Phenomenology · Physics 2017-08-23 Einan Gardi

We analyze in detail the most singular behaviour of processes involving triple-collinear splittings with massive particles in the quasi-collinear limit, and present compact expressions for the splitting amplitudes and the corresponding…

High Energy Physics - Phenomenology · Physics 2023-12-29 Prasanna K. Dhani , Germán Rodrigo , German F. R. Sborlini

We study the phenomenon of parton-hadron duality in both polarised and unpolarised electron proton scattering using the HERMES and the Jefferson Lab data, respectively. In both cases we extend a systematic perturbative QCD based analysis to…

High Energy Physics - Phenomenology · Physics 2009-11-10 N. Bianchi , A. Fantoni , S. Liuti

Ordered momentum mappings present optimal convergence in soft and collinear configurations and are particularly suitable for the numerical implementation of local subtraction schemes. However, ordered mappings cannot be directly applied in…

High Energy Physics - Phenomenology · Physics 2025-07-18 Xuan Chen , Matteo Marcoli

Two-quark--two-antiquark systems with four different quark flavors are considered in the framework of two-dimensional QCD, in the light-cone gauge, at leading orders of the $1/N_c^{}$ expansion. Introducing basis functions with…

High Energy Physics - Phenomenology · Physics 2025-09-22 Hagop Sazdjian

We compute the tree-level current for the emission of two soft quark-antiquark pairs in a hard scattering. We also compute the square of this current and discuss the resulting color correlations, featuring dipole correlations and…

High Energy Physics - Phenomenology · Physics 2024-11-26 Xinguang Chen , Zhengwen Liu

We derive a factorization formula for the double Drell-Yan cross section in terms of double parton distribution functions (dPDFs). Diparton flavor, spin and color correlations and parton-exchange interference terms contribute, even for…

High Energy Physics - Phenomenology · Physics 2013-05-30 Aneesh V. Manohar , Wouter J. Waalewijn

We investigate the quantum chromodynamics (QCD) corrections to hadronic final states in electron-positron collisions at $\mathcal{O}(\alpha_s^3)$ in the strong coupling constant $\alpha_s$. Namely, we analytically compute the total cross…

High Energy Physics - Phenomenology · Physics 2023-04-24 Petr Jakubčík , Matteo Marcoli , Giovanni Stagnitto

In the context of infrared subtraction algorithms beyond next-to-leading order, it becomes necessary to consider multiple infrared limits of scattering amplitudes, in which several particles become soft or collinear in a strongly-ordered…

High Energy Physics - Phenomenology · Physics 2024-03-19 Lorenzo Magnea , Calum Milloy , Chiara Signorile-Signorile , Paolo Torrielli

We show that double parton distributions, which are important in describing double parton scattering processes in hadron collisions, can be directly computed from correlations of equal-time nonlocal Euclidean operators on the lattice in the…

High Energy Physics - Phenomenology · Physics 2023-05-12 Jian-Hui Zhang

We complete the generalisation of the BCFW recursion relation to the off-shell case, allowing for the computation of tree level scattering amplitudes for full High Energy Factorisation (HEF), i.e. with both incoming partons having a…

High Energy Physics - Phenomenology · Physics 2017-02-03 Andreas van Hameren , Krzysztof Kutak , Mirko Serino

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

Understanding high-order correlations or multi-particle entities in a many-body system is not only of fundamental importance in condensed matter physics, but also critical for many technological applications. So far, higher-order…

Materials Science · Physics 2024-05-06 Jiacheng Tang , Cun-Zheng Ning

A next-to-leading order correction to the high-energy factorization limit of radiation spectrum from an ultrarelativistic electron scattering in an external field is evaluated. Generally, it does not express through scattering…

High Energy Physics - Phenomenology · Physics 2017-10-25 M. V. Bondarenco

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

The structure of tree-level scattering amplitudes for collinear massless bosons is studied beyond their leading splitting function behavior. These near-collinear limits at sub-leading order are best studied using the Cachazo-He-Yuan (CHY)…

High Energy Physics - Theory · Physics 2017-03-08 Dhritiman Nandan , Jan Plefka , Wadim Wormsbecher

We study the factorisation properties of one-loop scattering amplitudes in the triple collinear limit and extract the universal splitting amplitudes for processes initiated by a gluon. The splitting amplitudes are derived from the analytic…

High Energy Physics - Phenomenology · Physics 2015-07-20 Simon Badger , Francesco Buciuni , Tiziano Peraro