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A general discussion of the renormalization of the quantum theory of a scalar field as an effective field theory is presented. The renormalization group equations in a mass-independent renormalization scheme allow us to identify the…

High Energy Physics - Phenomenology · Physics 2009-10-30 Mario Atance , Jose Luis Cortes

Different exclusive processes have been proposed to access the generalized transverse momentum dependent distributions (GTMDs) with no proof of factorization, which allows to rigorously define the GTMDs. Using Soft Collinear Effective…

High Energy Physics - Phenomenology · Physics 2023-04-11 Miguel G. Echevarria , Patricia A. Gutierrez Garcia , Ignazio Scimemi

LHC measurements involve cuts on several observables, but resummed calculations are mostly restricted to single variables. We show how the resummation of a class of double-differential measurements can be achieved through an extension of…

High Energy Physics - Phenomenology · Physics 2015-06-23 Massimiliano Procura , Wouter J. Waalewijn , Lisa Zeune

We extent the standard approach of dimensional regularization of Feynman diagrams: we replace the transition to lower dimensions by a 'natural' cut-off regulator. Introducing an external regulator of mass Lambda^(2e), we regain in the limit…

Nuclear Theory · Physics 2007-05-23 M. Dillig

In the framework of soft-collinear effective theory (SCET), we show how to formulate the resummation for a broad family of final-state, global observables in high-energy collisions in a general way that is suitable for a numerical…

High Energy Physics - Phenomenology · Physics 2020-05-20 Christian W. Bauer , Pier Francesco Monni

Previous work on electroweak radiative corrections to high energy scattering using soft-collinear effective theory (SCET) has been extended to include external transverse and longitudinal gauge bosons and Higgs bosons. This allows one to…

High Energy Physics - Phenomenology · Physics 2014-11-20 Jui-yu Chiu , Andreas Fuhrer , Randall Kelley , Aneesh V. Manohar

We prove rigorously factorization in the seminclusive decay $B\to D^{(*)} + jet$ using the large energy effective theory. It is also shown that this effective theory is unable to consistently describe completely exclusive processes, such as…

High Energy Physics - Phenomenology · Physics 2009-10-30 U. Aglietti , G. Corbo`

In the large-momentum effective field theory approach to parton physics, the matrix elements of non-local operators of quark and gluon fields, linked by straight Wilson lines in a spatial direction, are calculated in lattice quantum…

High Energy Physics - Phenomenology · Physics 2018-03-21 Xiangdong Ji , Jian-Hui Zhang , Yong Zhao

Quantum fields are generally taken to be operator-valued distributions, linear functionals of test functions into an algebra of operators; here the effective dynamics of an interacting quantum field is taken to be nonlinearly modified by…

Quantum Physics · Physics 2014-06-24 Peter Morgan

Virtually all questions that one can ask about the behavioral and structural complexity of a stochastic process reduce to a linear algebraic framing of a time evolution governed by an appropriate hidden-Markov process generator. Each type…

Chaotic Dynamics · Physics 2018-04-18 Paul M. Riechers , James P. Crutchfield

Recent BELLE measurements provide the cross section for single hadron production in $e^+e^-$ annihilations, differential in thrust and in the hadron transverse momentum with respect to the thrust axis. Universality breaking effects due to…

High Energy Physics - Phenomenology · Physics 2021-02-24 M. Boglione , A. Simonelli

We introduce a general framework to construct multi-emission kernels for parton branching algorithms at the amplitude level and across different soft and collinear limits. We highlight the connection of kinematic parameterizations and…

High Energy Physics - Phenomenology · Physics 2021-12-30 Maximilian Löschner , Simon Plätzer , Emma Simpson Dore

The factorization of multi-leg gauge theory amplitudes in the soft and collinear limits provides strong constraints on the structure of amplitudes, and enables efficient calculations of multi-jet observables at the LHC. There is significant…

High Energy Physics - Phenomenology · Physics 2019-06-05 Arindam Bhattacharya , Ian Moult , Iain W. Stewart , Gherardo Vita

Hamiltonian systems with functionally dependent constraints (irregular systems), for which the standard Dirac procedure is not directly applicable, are discussed. They are classified according to their behavior in the vicinity of the…

High Energy Physics - Theory · Physics 2009-11-10 Olivera Miskovic , Jorge Zanelli

I present a class of functions unifying all singular limits for the emission of soft or collinear gluons in gauge-theory amplitudes at any order in perturbation theory. Each function is a generalization of the antenna functions of ref. [1].…

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

In this document, we deal with the stabilization problem of slow-fast systems (or singularly perturbed Ordinary Differential Equations) at a non-hyperbolic point. The class of systems studied here have the following properties: 1) they have…

Systems and Control · Computer Science 2017-04-26 H. Jardon-Kojakhmetov , Jacquelien M. A. Scherpen , D. del Puerto-Flores

A new reference state for density functional theory, termed the independent atom ansatz, is introduced in this work. This ansatz allows for the exact representation of electron density in terms of non-interacting, atom-localized orbitals.…

Chemical Physics · Physics 2024-05-03 Alexander V. Mironenko

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

Finite temperature Euclidean two-point functions in quantum mechanics or quantum field theory are characterized by a discrete set of Fourier coefficients $G_{k}$, $k\in\mathbb Z$, associated with the Matsubara frequencies $\nu_{k}=2\pi…

High Energy Physics - Lattice · Physics 2016-08-17 Frank Ferrari

The well known concept, to reduce the spatio-temporal dynamics beyond instabilities of trivial states to amplitude modulated patterns, is reviewed from the point of view of a formal perturbation expansion for general dissipative partial…