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Effective field theory methods are used to study factorization of the deep inelastic scattering cross-section. The cross-section is shown to factor in QCD, even though it does not factor in perturbation theory for some choices of the…

High Energy Physics - Phenomenology · Physics 2009-11-11 Aneesh V. Manohar

The rules of soft-collinear effective theory can be used naively to write hard scattering cross-sections as convolutions of separate hard, jet, and soft functions. One condition required to guarantee the validity of such a factorization is…

High Energy Physics - Phenomenology · Physics 2009-10-16 Andrew Hornig , Christopher Lee , Grigory Ovanesyan

An important unresolved question in strong interaction physics concerns the parameterization of power-suppressed long-distance effects to hard processes that do not admit an operator product expansion (OPE). Recently Bauer et al.\ have…

High Energy Physics - Phenomenology · Physics 2011-05-05 M. Beneke , A. P. Chapovsky , M. Diehl , Th. Feldmann

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

Radiative corrections to elastic electron-proton scattering are analyzed in effective field theory. A new factorization formula identifies all sources of large logarithms in the limit of large momentum transfer, $Q^2\gg m_e^2$. Explicit…

High Energy Physics - Phenomenology · Physics 2017-01-11 Richard J. Hill

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

These lectures provide an introduction to the basic ideas and methods of Effective Field Theory, and a description of a few interesting phenomenological applications in particle physics. The main conceptual foundations are discussed in…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Pich

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 study of amplitudes and cross sections in the soft and collinear limits allows for an understanding of their all orders behavior, and the identification of universal structures. At leading power soft emissions are eikonal, and described…

High Energy Physics - Phenomenology · Physics 2020-04-08 Ian Moult , Iain W. Stewart , Gherardo Vita

This talk discusses the effective field theory view of deep inelastic scattering. In such an approach, the standard factorization formula of a hard coefficient multiplied by a parton distribution function arises from matching of QCD onto an…

High Energy Physics - Phenomenology · Physics 2014-11-21 Gil Paz

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

Predicting phenomena that mix few-photon quantum optics with strong field nonlinear optics is hindered by the use of separate theoretical formalisms for each regime. We close this gap with a unified effective field theory valid for…

Optics · Physics 2025-12-30 Xiaochen Liu , Ken-Tye Yong

We first revisit impact-parameter dependent collisions of ultra-relativistic particles in quantum field theory. Two conditions sufficient for defining an impact-parameter dependent cross section are given, which could be violated in…

High Energy Physics - Phenomenology · Physics 2023-07-28 Bin Wu

Soft-collinear effective theory is generalized to include soft massless quarks in addition to collinear fields. This extension is necessary for the treatment of interactions with the soft spectator quark in a heavy meson. The power counting…

High Energy Physics - Phenomenology · Physics 2010-04-05 Richard J. Hill , Matthias Neubert

We construct an effective field theory (EFT) description of the hard photon spectrum for heavy WIMP annihilation. This facilitates precision predictions relevant for line searches, and allows the incorporation of non-trivial energy…

High Energy Physics - Phenomenology · Physics 2019-04-25 Matthew Baumgart , Timothy Cohen , Ian Moult , Nicholas L. Rodd , Tracy R. Slatyer , Mikhail P. Solon , Iain W. Stewart , Varun Vaidya

The production of hard photons in hadronic collisions is studied using Soft-Collinear Effective Theory (SCET). This is the first application of SCET to a physical, observable cross section involving energetic partons in more than two…

High Energy Physics - Phenomenology · Physics 2012-02-10 Thomas Becher , Matthew D. Schwartz

Infrared divergences in Quantum Field Theory govern the low-energy dynamics of many physical theories, and their understanding is a crucial ingredient in predicting the outcomes of collider experiments. We present a novel approach to…

High Energy Physics - Theory · Physics 2025-06-19 Carolina Figueiredo , Giulio Gambuti , Holmfridur S. Hannesdottir

In this work we apply effective field theory (EFT) to observables in quarkonium production and decay that are sensitive to soft gluon radiation, in particular measurements that are sensitive to small transverse momentum. Within the EFT…

High Energy Physics - Phenomenology · Physics 2020-05-20 Sean Fleming , Yiannis Makris , Thomas Mehen

Inclusive and diffractive structure functions for electron-proton scattering are calculated in a semiclassical approach at large momentum transfer $Q^2$ and small values of the scaling variable $x$. The basic process is the production of a…

High Energy Physics - Phenomenology · Physics 2009-02-20 W. Buchmuller , A. Hebecker

The 1D flux power spectrum ($P_{\mathrm{1D}}$) of the Ly$\alpha$ forest provides an exceptionally high-resolution probe of structure formation down to small scales ($k\approx1-10~\text{$h~$Mpc$^{-1}$}$). These scales carry the imprints of…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-13 N. G. Karaçaylı , M. Ivanov , R. de Belsunce , C. Ravoux , J. M. Sexton , Z. Lukić