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I review the theoretical ideas and concepts along the line of factorization in the exclusive B decays. In order to understand the naive factorization, the effective field theories and the perturbative method of QCD are introduced and…

High Energy Physics - Phenomenology · Physics 2007-05-23 Zheng-Tao Wei

We revisit the derivation of collinear factorization for Deep Inelastic Scattering at sub-asymptotic values of the four momentum transfer squared, where the masses of the particles participating in the interaction cannot be neglected. By…

High Energy Physics - Phenomenology · Physics 2023-01-27 Juan V. Guerrero , Alberto Accardi

The high-energy factorization of gauge theory scattering amplitudes in terms of universal impact factors and a Reggeized exchange in the $t$-channel, corresponding to a Regge pole in the angular momentum plane, is know to conflict with the…

High Energy Physics - Phenomenology · Physics 2013-12-19 Vittorio Del Duca , Giulio Falcioni , Lorenzo Magnea , Leonardo Vernazza

Explicit applications of factorization theorems for processes at hadron colliders near the hadronic endpoint have largely focused on simple final states with either no jets (e.g., Drell-Yan) or one inclusive jet (e.g., deep inelastic…

High Energy Physics - Phenomenology · Physics 2014-11-20 Christian W. Bauer , Nicholas Daniel Dunn , Andrew Hornig

We review the description of inclusive single unpolarized light hadron production using fragmentation functions in the framework of the factorization theorem. We summarize the factorization of quantities into perturbatively calculable…

High Energy Physics - Phenomenology · Physics 2010-12-06 Simon Albino

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

Exclusive photoproduction of a $\gamma\,\pi^\pm$ pair in the kinematics where the pair has a large invariant mass and the final nucleon has a small transverse momentum is described in the collinear factorization framework. The scattering…

High Energy Physics - Phenomenology · Physics 2018-12-26 G. Duplančić , K. Passek-Kumerički , B. Pire , L. Szymanowski , S. Wallon

Subtraction schemes provide a systematic way to compute fully-differential cross sections beyond the leading order in the strong coupling constant. These methods make singular real-emission corrections integrable in phase space by the…

High Energy Physics - Phenomenology · Physics 2020-01-29 Vittorio Del Duca , Nicolas Deutschmann , Simone Lionetti

We reformulate the soft-collinear effective theory which includes the collinear quark and soft gluons. The quark form factor is used to prove that SCET$_{\rm II}$ reproduces the IR physics of the full theory. We give a factorization proof…

High Energy Physics - Phenomenology · Physics 2014-11-17 Zheng-Tao Wei

Inclusive deep inelastic scattering factorization combines two features that are often treated separately: an asymptotic reconstruction of the current-current matrix element from hard and long-distance data, and an invariance under finite…

High Energy Physics - Phenomenology · Physics 2026-05-18 Dustin Keller

We compute the next-to-leading order (NLO) QCD corrections to the $1 \to 2$ splitting amplitudes in different dimensional regularization (DREG) schemes. Besides recovering previously known results, we explore new DREG schemes and analyze…

High Energy Physics - Phenomenology · Physics 2014-01-15 German F. R. Sborlini , Daniel de Florian , German Rodrigo

We compare the theoretical frameworks and the phenomenological applications of the factorization approaches to exclusive $B$ meson decays, which include QCD-improved factorization, perturbative QCD, and soft-collinear effective theory.…

High Energy Physics - Phenomenology · Physics 2008-11-26 Hsiang-nan Li

A prescription is presented to construct manifestly gauge invariant tree-level scattering amplitudes with one or two off-shell initial-state gluons for processes with arbitrary particles in the final state, which allows for calculations…

High Energy Physics - Phenomenology · Physics 2013-07-09 A. van Hameren

In this paper, we investigate the factorization hypothesis step by step for the exclusive process $B \to \rho$ at next-to-leading order (NLO) with the collinear factorization approach, and then we extend our results to the $k_T$…

High Energy Physics - Phenomenology · Physics 2019-01-16 Jun Hua , Ya-Lan Zhang , Zhen-Jun Xiao

We examine the endpoint region of inclusive deep inelastic scattering at next-to-leading power (NLP). Using a soft-collinear effective theory approach with no explicit soft or collinear modes, we discuss the factorization of the cross…

High Energy Physics - Phenomenology · Physics 2023-04-24 Michael Luke , Jyotirmoy Roy , Aris Spourdalakis

Splitting amplitudes are universal functions governing the collinear behavior of scattering amplitudes for massless particles. We compute the two-loop g -> gg splitting amplitudes in QCD, N=1, and N=4 super-Yang-Mills theories, which…

High Energy Physics - Phenomenology · Physics 2010-03-25 Zvi Bern , Lance J. Dixon , David A. Kosower

We study the impact of leading soft-collinear effects on threshold and joint-resummed calculations for the production of prompt photons via parton fragmentation, complementing a previous study for direct production. We assess these effects…

High Energy Physics - Phenomenology · Physics 2012-04-12 Rahul Basu , Eric Laenen , Anuradha Misra , Patrick Motylinski

We discuss how higher-point QCD amplitudes may be constructed from lower point ones by imposing the factorization constraints in the limits as external momenta become collinear. As a particular example, the all-$n$ gluon one-loop amplitude…

High Energy Physics - Phenomenology · Physics 2009-09-25 G. Chalmers

We study collinear and soft singularities in perturbative quantum gravity by constructing an effective field theory similar to soft-collinear effective theory for QCD (SCET). We find that the soft sector exhibits factorization properties…

High Energy Physics - Phenomenology · Physics 2015-06-05 Martin Beneke , Grisha Kirilin

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