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When energies or angles of gluons emitted in a gauge-theory process are small and strongly ordered, the emission factorizes in a simple way to all orders in perturbation theory. I show how to unify the various strongly-ordered soft, mixed…

High Energy Physics - Phenomenology · Physics 2009-11-10 David A. Kosower

We derive a factorization theorem for the differential distributions of electroweak gauge bosons in Drell-Yan processes, valid at low transverse momentum, using the Soft-Collinear Effective Theory (SCET). We present the next-to-leading…

High Energy Physics - Phenomenology · Physics 2011-03-29 Sonny Mantry , Frank Petriello

Using Soft-Collinear Effective Theory, we develop the transverse-momentum-dependent factorization formalism for heavy flavor dijet production in polarized-proton-electron collisions. We consider heavy flavor mass corrections in the…

High Energy Physics - Phenomenology · Physics 2022-12-06 Zhong-Bo Kang , Jared Reiten , Ding Yu Shao , John Terry

We study a transverse momentum dependent (TMD) factorization framework for the processes of di-jet and heavy meson pair production in deep-inelastic-scattering in an electron-proton collider, considering the measurement of the transverse…

High Energy Physics - Phenomenology · Physics 2021-02-03 Rafael F. del Castillo , Miguel G. Echevarria , Yiannis Makris , Ignazio Scimemi

This chapter reviews the construction of ``soft-collinear gravity'', the effective field theory which describes the interaction of collinear and soft gravitons with matter (and themselves), to all orders in the soft-collinear power…

High Energy Physics - Theory · Physics 2022-10-20 Martin Beneke , Patrick Hager , Robert Szafron

The asymptotic behaviour at large N of the MS-bar quark anomalous dimensions is derived to all orders assuming only MS-bar factorization and standard results for the exponentiation of soft logarithms in the quark initiated bare cross…

High Energy Physics - Phenomenology · Physics 2014-11-17 Simon Albino , Richard D. Ball

We consider the fragmentation of a parton into a jet with small radius $R$ in the large $z$ limit, where $z$ is the ratio of the jet energy to the mother parton energy. In this region of phase space, large logarithms of both $R$ and $1-z$…

High Energy Physics - Phenomenology · Physics 2017-04-12 Lin Dai , Chul Kim , Adam K. Leibovich

The singular behaviour of QCD squared amplitudes in the collinear limit is factorized and controlled by splitting kernels with a process-independent structure. We use these kernels to define collinear functions that can be used in QCD…

High Energy Physics - Phenomenology · Physics 2023-04-11 Stefano Catani , Prasanna K. Dhani

Using an approach based on Soft Collinear Effective Theory (SCET) and Heavy Quark Effective Theory (HQET) we determine the $b$-quark fragmentation function from electron-positron annihilation data at the $Z$-boson peak at next-to-next-to…

High Energy Physics - Phenomenology · Physics 2016-12-21 Michael Fickinger , Sean Fleming , Chul Kim , Emanuele Mereghetti

Large double-logarithmic corrections are induced by soft gluon emissions near threshold in the semi-inclusive $e^+e^-$ annihilation (SIA) distributions, and must be resummed to all-orders in perturbation theory for reliable theoretical…

High Energy Physics - Phenomenology · Physics 2024-11-19 Zhen Xu , Hua Xing Zhu

We explore the connection between the factorisation of virtual corrections to multi-particle massless gauge theory amplitudes and the problem of subtraction at NNLO and beyond. Taking inspiration from virtual factorisation, we provide a set…

High Energy Physics - Phenomenology · Physics 2018-01-22 Lorenzo Magnea , Ezio Maina , Paolo Torrielli , Sandro Uccirati

I review the basics of the collinear factorization theorem applied primarily to deep inelastic scattering (DIS) involving forward parton distributions (PDFs) and the extensions of this theorem for exclusive processes probing non-forward…

High Energy Physics - Phenomenology · Physics 2015-03-20 Lech Szymanowski

The large double logarithm in loop-induced processes is one kind of logarithm at subleading power, which has a different origin from Sudakov double logarithms. We develop a method with soft-collinear effective theory to resum these large…

High Energy Physics - Phenomenology · Physics 2019-12-24 Jian Wang

We use Soft Collinear Effective Theory (SCET) to factorize the polarized Deep Inelastic Scattering (DIS) structure functions $g_1(x)$ and $g_2(x)$, and to sum Sudakov double logarithms of $1-x$. The analysis is done both in terms of…

High Energy Physics - Phenomenology · Physics 2026-04-21 Jaipratap Singh Grewal , Aneesh V. Manohar , Jyotirmoy Roy

In this talk I review an effective field theory that has been developed for processes with energetic hadrons, referred to as the Soft-Collinear Effective Theory. After outlining properties of the effective theory I briefly discuss its…

High Energy Physics - Phenomenology · Physics 2007-05-23 Iain W. Stewart

Collinear fields in soft collinear effective theory (SCET) can be made invariant under collinear gauge transformations by multiplying them with collinear Wilson lines. We discuss how we can quantize SCET directly in terms of these gauge…

High Energy Physics - Phenomenology · Physics 2008-09-09 Christian W. Bauer , Oscar Cata , Grigory Ovanesyan

Collinear factorization and color-glass condensate (CGC) effective field theory are generally treated as separate approaches for calculating scattering amplitudes, valid in different kinematic regimes. For deep inelastic scattering at high…

High Energy Physics - Phenomenology · Physics 2026-05-15 Shohini Bhattacharya , Chuan-Qi He , Zhong-Bo Kang , Diego Padilla , Jani Penttala

We review recent progress in the development of an approach valid to any order which unifies the fixed-order DGLAP evolution of fragmentation functions at large x with soft-gluon logarithmic resummation at small x. At leading order, this…

High Energy Physics - Phenomenology · Physics 2008-11-26 B. A. Kniehl

Methods from soft-collinear effective theory are used to perform the threshold resummation of Sudakov logarithms for the deep-inelastic structure function F_2(x,Q^2) in the endpoint region x->1 directly in momentum space. An explicit…

High Energy Physics - Phenomenology · Physics 2008-11-26 Thomas Becher , Matthias Neubert

We apply Soft-Collinear Effective Theory to prove at leading power in Lambda_QCD/m_b a factorization formula for the radiative leptonic decay B -> gamma l nu. Large logarithms entering the hard-scattering kernel are systematically resummed…

High Energy Physics - Phenomenology · Physics 2011-09-13 Stefan W. Bosch
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