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Calculations of collinear correlation functions in perturbative QCD and Soft-Collinear Effective Theory (SCET) require a prescription for subtracting soft or zero-bin contributions in order to avoid double counting the contributions from…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ahmad Idilbi , Thomas Mehen

We discuss the Sudakov form factor in the framework of the soft-collinear effective theory. The running of the short distance coefficient function from high to low scale gives the summation of Sudakov logarithms to all orders. Our…

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

In soft-collinear effective theory, we analyze the structure of rapidity divergence due to the collinear and soft modes residing in disparate phase spaces. The idea of an effective theory is applied to a system of collinear modes with large…

High Energy Physics - Phenomenology · Physics 2021-04-21 Junegone Chay , Chul Kim

Zero-bin subtractions are required to avoid double counting soft contributions in collinear loop integrals in Soft-Collinear Effective Theory (SCET). In traditional approaches to factorization, double counting is avoided by dividing jet…

High Energy Physics - Phenomenology · Physics 2008-11-26 Thomas Mehen , Ahmad Idilbi

In this thesis we present an introduction to Soft-Collinear Effective Theory, which can be used to prove (or disprove) factorization theorems to all orders in the strong coupling constant for some B decays into light and energetic…

High Energy Physics - Phenomenology · Physics 2007-05-23 Bjorn O Lange

Soft-collinear effective theory is used to prove factorization of the B->gamma+l+nu decay amplitude at leading power in Lambda/m_b, including a demonstration of the absence of non-valence Fock states and of the finiteness of the convolution…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. W. Bosch , R. J. Hill , B. O. Lange , M. Neubert

Individual multi-loop diagrams for the massive Sudakov form factor contain an infinite tower of ultra-collinear momentum regions. We show that, for the on-shell form factor in QCD, these contributions cancel to all orders as a consequence…

High Energy Physics - Phenomenology · Physics 2026-04-06 Marvin Schnubel , Jakob Schoenleber , Robert Szafron

The off-shell and the on-shell Sudakov form factors in theories with broken gauge symmetry are calculated in the double-logarithmic approximation. We have used different infrared cut-offs, i.e. different mass scales, for virtual photons and…

High Energy Physics - Theory · Physics 2007-05-23 A. Barroso , B. I. Ermolaev

We study a Lagrangian formalism that avoids double counting in effective field theories where distinct fields are used to describe different infrared momentum regions for the same particle. The formalism leads to extra subtractions in…

High Energy Physics - Phenomenology · Physics 2008-11-26 Aneesh V. Manohar , Iain W. Stewart

The role of soft gluons in inclusive collinear parton densities as well as in Transverse Momentum Dependent (TMD) parton densities is discussed. Applying the Parton-Branching (PBM) method, the so-called non-perturbative Sudakov form factor…

High Energy Physics - Phenomenology · Physics 2024-05-24 H. Jung

Starting from the first renormalized factorization theorem for a process described at subleading power in soft-collinear effective theory, we discuss the resummation of Sudakov logarithms for such processes in renormalization-group improved…

High Energy Physics - Phenomenology · Physics 2021-07-14 Ze Long Liu , Bianka Mecaj , Matthias Neubert , Xing Wang

The soft-collinear effective theory has been recently applied to prove novel factorization theorems for many B decays. We describe here in some detail the factorization relation for color-supressed nonleptonic B -> D(*)0 pi0 decays and…

High Energy Physics - Phenomenology · Physics 2017-08-23 Dan Pirjol

We study the origin of subleading soft and collinear poles of form factors and amplitudes in dimensionally-regulated massless gauge theories. In the case of form factors of fundamental fields, these poles originate from a single function of…

High Energy Physics - Phenomenology · Physics 2014-11-18 Lance J. Dixon , Lorenzo Magnea , George Sterman

These lectures provide an introduction to Soft-Collinear Effective Theory. After discussing the expansion of Feynman diagrams around the high-energy limit, the effective Lagrangian is constructed, first for a scalar theory, then for QCD.…

High Energy Physics - Phenomenology · Physics 2020-08-21 Thomas Becher , Alessandro Broggio , Andrea Ferroglia

We re-examine observables with rapidity divergences in the context of a formulation of Soft-Collinear Effective Theory in which infrared degrees of freedom are not explicitly separated into modes. We consider the Sudakov form factor with a…

High Energy Physics - Phenomenology · Physics 2021-07-28 Matthew Inglis-Whalen , Michael Luke , Aris Spourdalakis

Using results on soft-collinear factorization for inclusive B-meson decay distributions, a systematic study of the partial B->Xs+gamma decay rate with a cut E_gamma<E_0 on photon energy is performed. For values E_0<1.9 GeV the rate can be…

High Energy Physics - Phenomenology · Physics 2009-11-10 Matthias Neubert

We report on further progress in understanding soft singularities of massless gauge theory scattering amplitudes. Recently, a set of equations was derived based on Sudakov factorization, constraining the soft anomalous dimension matrix of…

High Energy Physics - Phenomenology · Physics 2011-08-17 Lance J. Dixon , Einan Gardi , Lorenzo Magnea

The parton branching method is crucial for Monte Carlo generators, which are essential for high-energy physics predictions. We examine the impact of soft gluons on inclusive collinear and Transverse Momentum Dependent (TMD) parton…

High Energy Physics - Phenomenology · Physics 2024-10-10 S. Taheri Monfared

Electroweak Sudakov corrections of the form alpha^n log^m s/M_{W,Z}^2 are summed using renormalization group evolution in soft-collinear effective theory (SCET). Results are given for the scalar, vector and tensor form-factors for fermion…

High Energy Physics - Phenomenology · Physics 2008-11-26 Jui-yu Chiu , Frank Golf , Randall Kelley , Aneesh V. Manohar

Factorization in gauge theories holds at the amplitude or amplitude-squared level for states of given soft or collinear momenta. When performing phase-space integrals over such states, one would generally like to avoid putting in explicit…

High Energy Physics - Phenomenology · Physics 2015-06-03 Ilya Feige , Matthew D. Schwartz , Kai Yan
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