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The factorization of amplitudes into hard, soft and collinear parts is known to be violated in situations where incoming particles are collinear to outgoing ones. This result was first derived by studying limits where non-collinear…

High Energy Physics - Phenomenology · Physics 2017-09-20 Matthew D. Schwartz , Kai Yan , Hua Xing Zhu

A number of important observables exhibit logarithms in their perturbative description that are induced by emissions at widely separated rapidities. These include transverse-momentum ($q_T$) logarithms, logarithms involving heavy-quark or…

High Energy Physics - Phenomenology · Physics 2019-04-24 Markus A. Ebert , Ian Moult , Iain W. Stewart , Frank J. Tackmann , Gherardo Vita , Hua Xing Zhu

In this thesis I study the infrared limits of QCD beyond leading power by developing effective quantum field theory techniques. I introduce the motivations for studying this subject both as a tool to deepen our understanding of the infrared…

High Energy Physics - Phenomenology · Physics 2020-08-26 Gherardo Vita

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

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

We generalize the celebrated heavy quark expansion to nonlocal QCD operators. By taking nonlocal heavy-light current on the light-cone as an example, we confirm that the collinear singularities are common between QCD operator and the…

High Energy Physics - Phenomenology · Physics 2020-04-29 Shuai Zhao

Using methods from soft-collinear and heavy-quark effective theory, a systematic factorization analysis is performed for the $\bar B\to X_s\gamma$ photon spectrum in the endpoint region $m_b-2E_\gamma={\cal O}(\Lambda_{\rm QCD})$. It is…

High Energy Physics - Phenomenology · Physics 2015-03-13 Michael Benzke , Seung J. Lee , Matthias Neubert , Gil Paz

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

Soft functions defined in terms of matrix elements of soft fields dressed by Wilson lines are central components of factorization theorems for cross sections and decay rates in collider and heavy-quark physics. While in many cases the…

High Energy Physics - Phenomenology · Physics 2020-08-26 Ze Long Liu , Bianka Mecaj , Matthias Neubert , Xing Wang , Sean Fleming

Using the formalism of soft-collinear effective theory, a complete separation of short- and long-distance contributions to heavy-to-light transition form factors at large recoil is performed. The universal functions $\zeta_M(E)$…

High Energy Physics - Phenomenology · Physics 2010-04-05 Bjorn O. Lange , Matthias Neubert

Heavy colored scalar particles appear in a variety of new physics (NP) models and could be produced at the Large Hadron Collider (LHC). Knowing the total production cross section is important for searching for these states and establishing…

High Energy Physics - Phenomenology · Physics 2009-07-24 Ahmad Idilbi , Chul Kim , Thomas Mehen

We derive a factorization theorem that allows for resummation of small-$x$ logarithms by exploiting Glauber operators in the soft collinear effective field theory. Our analysis is carried out for the hadronic tensor $W^{\mu\nu}$ in deep…

High Energy Physics - Phenomenology · Physics 2023-03-27 Duff Neill , Aditya Pathak , Iain Stewart

The form of collinear gauge invariance for power suppressed operators in the soft-collinear effective theory is discussed. Using a field redefinition we show that it is possible to make any power suppressed ultrasoft-collinear operators…

High Energy Physics - Phenomenology · Physics 2009-11-10 Christian W. Bauer , Dan Pirjol , Iain W. Stewart

Heavy-to-light transition form factors at large recoil energy of the light meson have been conjectured to obey a factorization formula, where the set of form factors is reduced to a smaller number of universal form factors up to…

High Energy Physics - Phenomenology · Physics 2010-04-06 M. Beneke , Th. Feldmann

We calculate the ${\cal O}(\alpha_s^3)$ short-distance, QCD collinear-factorized coefficient functions for all partonic channels that include the production of a heavy quark pair at short distances. This provides the first power correction…

High Energy Physics - Phenomenology · Physics 2015-03-09 Zhong-Bo Kang , Yan-Qing Ma , Jian-Wei Qiu , George Sterman

Factorization is possible due to the universal behavior of Yang-Mills theories in soft and collinear limits. Here, we take a small step towards a more transparent understanding of these limits by proving a form of perturbative factorization…

High Energy Physics - Theory · Physics 2013-09-25 Ilya Feige , Matthew D. Schwartz

We discuss restrictions on operators in the soft-collinear effective theory (SCET) which follow from the ambiguity in the decomposition of collinear momenta and the freedom in the choice of light-like basis vectors $n$ and $\bar n$.…

High Energy Physics - Phenomenology · Physics 2014-11-17 Aneesh V. Manohar , Thomas Mehen , Dan Pirjol , Iain W. Stewart

It has recently been argued that soft-collinear effective theory for processes involving both soft and collinear partons contains a new soft-collinear mode, which can communicate between the soft and collinear sectors of the theory. The…

High Energy Physics - Phenomenology · Physics 2009-11-10 Thomas Becher , Richard J. Hill , Bjoern O. Lange , Matthias Neubert

In the heavy quark effective theory, hadronic matrix elements of currents between two hadrons containing a heavy quark are expanded in inverse powers of the heavy quark masses, with coefficients that are functions of the kinematic variable…

High Energy Physics - Phenomenology · Physics 2009-10-22 Adam F. Falk , Matthias Neubert

We extend our recent analyses of the nuclear vector, axial-vector and pseudoscalar currents and derive the leading one-loop corrections to the two-nucleon scalar current operator in the framework of chiral effective field theory using the…

Nuclear Theory · Physics 2020-10-28 Hermann Krebs , Evgeny Epelbaum , Ulf-G. Meißner