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We outline a proof of factorization in exclusive processes, taking into account the presence of soft and collinear modes of arbitrarily low energy, which arise when the external lines of the process are taken on shell. Specifically, we…

High Energy Physics - Phenomenology · Physics 2010-06-28 Geoffrey T. Bodwin , Xavier Garcia i Tormo , Jungil Lee

In high-energy processes which are sensitive to small transverse momenta, individual contributions from collinear and soft momentum regions are not separately well-defined in dimensional regularization. A simple possibility to solve this…

High Energy Physics - Phenomenology · Physics 2015-06-03 Thomas Becher , Guido Bell

We study the factorization of the dijet cross section in $e^+ e^-$ annihilation using the generalized exclusive jet algorithm which includes the cone-type, the JADE, the $k_T$, the anti-$k_T$ and the Cambridge/Aachen jet algorithms as…

High Energy Physics - Phenomenology · Physics 2015-10-21 Junegone Chay , Chul Kim , Inchol Kim

The combination of collinear factorization with effective field theory originally developed for soft interactions of heavy quarks provides the foundations of the theory of exclusive and semi-inclusive B decays. In this article I summarize…

High Energy Physics - Phenomenology · Physics 2015-01-30 M. Beneke

We present a bottom-up construction of vector effective field theories using the infrared structure of scattering amplitudes. Our results employ two distinct probes of soft kinematics: multiple soft limits and single soft limits after…

High Energy Physics - Theory · Physics 2018-07-04 Clifford Cheung , Karol Kampf , Jiri Novotny , Chia-Hsien Shen , Jaroslav Trnka , Congkao Wen

We present a formulation of soft-collinear effective theory (SCET) in the two-jet sector as a theory of decoupled sectors of QCD coupled to Wilson lines. The formulation is manifestly boost-invariant, does not require the introduction of…

High Energy Physics - Phenomenology · Physics 2018-04-04 Raymond Goerke , Michael Luke

We consider the most general form of soft and collinear factorization for hard-scattering amplitudes to all orders in perturbative Quantum Chromodynamics. Specifically, we present the generalization of collinear factorization to…

High Energy Physics - Phenomenology · Physics 2026-03-10 Leandro Cieri , Prasanna K. Dhani , Germán Rodrigo

We present a new analysis of two-jet event shape distributions in soft collinear effective theory. Extending previous results, we observe that a large class of such distributions can be expressed in terms of vacuum matrix elements of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Christian W. Bauer , Sean Fleming , Christopher Lee , George Sterman

We review the theory of hard exclusive scattering in Quantum Chromodynamics. After recalling the classical counting rules which describe the leading scale dependence of form factors and elastic reactions at fixed angle, the pedagogical…

High Energy Physics - Phenomenology · Physics 2016-09-01 Thierry Gousset , Bernard Pire

I develop an Effective Field Theory (EFT) framework to compute jet substructure observables for heavy ion collision experiments. As an illustration, I consider dijet events that accompany the formation of a weakly coupled Quark Gluon…

High Energy Physics - Phenomenology · Physics 2021-11-24 Varun Vaidya

Two-jet event shape distributions, traditionally studied in the language of perturbative QCD, can be described naturally in soft-collinear effective theory. In this language, we demonstrate factorization of event shape distributions into…

High Energy Physics - Phenomenology · Physics 2010-10-27 Christopher Lee

We study the factorization of soft and collinear singularities in dimensionally-regularized fixed-angle scattering amplitudes in massless gauge theories. Our factorization is based on replacing the hard massless partons by light-like Wilson…

High Energy Physics - Phenomenology · Physics 2009-03-19 Einan Gardi , Lorenzo Magnea

Beam and jet functions in Soft-Collinear Effective Theory describe collinear initial- and final-state radiation (jets), and enter in factorization theorems for N-jet production, the Higgs pT spectrum, etc. We show that they may directly be…

High Energy Physics - Phenomenology · Physics 2014-10-17 Mathias Ritzmann , Wouter J. Waalewijn

This paper establishes the equivalence between robust safety and the existence of a barrier function certificate for differential inclusions. More precisely, for a robustly-safe differential inclusion, a barrier function is constructed as…

Optimization and Control · Mathematics 2024-08-05 Mohamed Maghenem , Masoumeh Ghanbarpour

These lectures provide an introduction to Soft-Collinear Effective Theory. As applications we discuss resummation for (i) soft-photon effects in QED, (ii) event-shape variables and (iii) jet cross sections.

High Energy Physics - Phenomenology · Physics 2018-03-13 Thomas Becher

We provide a general method to construct local infrared subtraction counterterms for unresolved radiative contributions to differential cross sections, to any order in perturbation theory. We start from the factorised structure of virtual…

High Energy Physics - Phenomenology · Physics 2018-12-26 Lorenzo Magnea , Ezio Maina , Giovanni Pelliccioli , Chiara Signorile-Signorile , Paolo Torrielli , Sandro Uccirati

The analytic study of differential cross sections in QCD has typically focused on individual observables, such as mass or thrust, to great success. Here, we present a first study of double differential jet cross sections considering two…

High Energy Physics - Phenomenology · Physics 2015-06-18 Andrew J. Larkoski , Ian Moult , Duff Neill

This paper studies multijet cross sections in the kinematic limit where one or more of the jets are unresolved. We study the asymptotic expansion of the cross section by using the method of regions. We explain in large generality how to…

High Energy Physics - Phenomenology · Physics 2025-09-09 Jürg Haag

The theoretical description of observables at collider experiments relies on factorization theorems separating perturbative dynamics from universal non-perturbative matrix elements. Despite significant recent progress in extending these…

High Energy Physics - Phenomenology · Physics 2023-08-04 Kyle Lee , Ian Moult

The factorization of soft and ultrasoft gluons from collinear particles is shown at the level of operators in an effective field theory. Exclusive hadronic factorization and inclusive partonic factorization follow as special cases. The…

High Energy Physics - Phenomenology · Physics 2008-11-26 Christian W. Bauer , Dan Pirjol , Iain W. Stewart