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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 describe low energy physics in the CFL and LOFF phases by means of effective lagrangians. In the CFL case we present also how to derive expressions for the parameters appearing in the lagrangian via weak coupling calculations taking…

High Energy Physics - Theory · Physics 2009-11-07 Roberto Casalbuoni

Interactions between hard partons and the quark-gluon plasma range from frequent soft interactions to rare hard scatterings. The larger number of soft interactions makes possible an effective stochastic description of parton-plasma…

Nuclear Theory · Physics 2019-01-23 Tianyu Dai , Steffen A. Bass , Jean-François Paquet , Derek Teaney

We study the single parton fragmentation functions (FFs) at the input factorization scale $\mu_0\gtrsim 2m_Q$, with heavy quark mass $m_Q$, in the soft gluon factorization (SGF) approach. We express the FFs in terms of perturbatively…

High Energy Physics - Phenomenology · Physics 2024-02-08 Qi-Lin Jia , An-Ping Chen , Yuan-Guo Xu

Threshold logarithms become dominant in partonic cross sections when the selected final state forces gluon radiation to be soft or collinear. Such radiation factorizes at the level of scattering amplitudes, and this leads to the resummation…

High Energy Physics - Phenomenology · Physics 2015-06-01 D. Bonocore , E. Laenen , L. Magnea , S. Melville , L. Vernazza , C. D. White

Factorization theorems in soft-collinear effective theory at subleading order in power counting involve ``radiative jet functions'', defined in terms of matrix elements of collinear fields with a soft momentum emitted from inside the jet.…

High Energy Physics - Phenomenology · Physics 2022-03-02 Ze Long Liu , Matthias Neubert , Marvin Schnubel , Xing Wang

We show explicitly that the leading soft gluon $p_T$ distribution, predicted by Kovner, McLerran, and Weigert after solving classical Yang-Mills equations, can be understood in terms of conventional QCD perturbation theory. We also…

High Energy Physics - Phenomenology · Physics 2014-11-17 Xiaofeng Guo

We investigate the soft decomposition of tree-level gluon amplitudes with split-helicity configurations. First, we show how any split-helicity amplitude can be fully fixed from inverse soft limit using BCFW calculation. We show how the…

High Energy Physics - Theory · Physics 2025-12-09 Andriniaina Narindra Rasoanaivo , Fanomezantsoa Arlivah Andriantsarafara

We show that the problem of constructing a real rational knot of a reasonably low degree can be reduced to an algebraic problem involving the pure braid group: expressing an associated element of the pure braid group in terms of the…

Geometric Topology · Mathematics 2016-08-16 Shane D'Mello , Rama Mishra

We systematically compute the effective short-range potentials arising from second order QCD-diagrams related to bound states of quarks, antiquarks, and gluons. Our formalism relies on the assumption that the exchanged gluons are massless,…

High Energy Physics - Phenomenology · Physics 2008-11-26 Vincent Mathieu , Fabien Buisseret

We extend in an extremely simple and straightforward way the well-known low-energy theorem for an effective Higgs-like scalar-gluon-gluon coupling [1] (as well as a similar one for for the effective coupling of the Higgs-like field to the…

High Energy Physics - Phenomenology · Physics 2026-02-10 Konstantin G. Chetyrkin

We describe an equivalent formulation of algebraic weak factorisation systems, not involving monads and comonads, but involving double categories of morphisms equipped with a lifting operation satisfying lifting and factorisation axioms.

Category Theory · Mathematics 2022-12-16 John Bourke

We show that the form of the recently proposed subleading soft graviton and gluon theorems in any dimension are severely constrained by elementary arguments based on Poincar\'e and gauge invariance as well as a self-consistency condition…

High Energy Physics - Theory · Physics 2014-09-24 Johannes Broedel , Marius de Leeuw , Jan Plefka , Matteo Rosso

We investigate the breakdown of collinear factorization for non-inclusive observables in hadron-hadron collisions. For pure QCD processes, factorization is violated at the three-loop level and it has a structure identical to that…

High Energy Physics - Phenomenology · Physics 2015-06-05 Jeffrey R. Forshaw , Michael H. Seymour , Andrzej Siodmok

We propose a mechanism displaying gluon confinement, as defined by the behavior of the propagators, in a model of SU(2) gauge fields. The model originates from an explicitly broken SU(3) gauge theory giving rise to a replica model composed…

High Energy Physics - Theory · Physics 2013-12-12 M. M. Amaral , M. A. L. Capri , Y. E. Chifarelli , V. E. R. Lemes

We apply the Low's theorem to soft gluon emission from heavy quark scattering in the nonperturbative strongly interacting quark-gluon plasma (sQGP). The sQGP is described in terms of the dynamical quasi-particles and adjusted to reproduce…

Nuclear Theory · Physics 2023-02-22 Taesoo Song , Ilia Grishmanovskii , Olga Soloveva

We present new recursion relations for tree amplitudes in gauge theory that give very compact formulas. Our relations give any tree amplitude as a sum over terms constructed from products of two amplitudes of fewer particles multiplied by a…

High Energy Physics - Theory · Physics 2008-11-26 Ruth Britto , Freddy Cachazo , Bo Feng

Heavy-flavored emissions have been always considered as an excellent channel to test properties of Quantum chromodynamics (QCD) at present and future colliders. Among different regimes, in which heavy-flavor production can be investigated,…

High Energy Physics - Phenomenology · Physics 2021-10-26 Andrèe Dafne Bolognino , Francesco Giovanni Celiberto , Michael Fucilla , Dmitry Yu. Ivanov , Alessandro Papa

A model for the longitudinal structure function $F_L$ in the region of low $x$ and low $Q^2$ is discussed. It is constructed using the $k_T$ factorization theorem and a photon-gluon fusion mechanism suitably extrapolated to the region of…

High Energy Physics - Phenomenology · Physics 2011-04-15 A. M. Stasto

We analyze the ground state of the heavy-quark hybrid system composed of three quarks and a gluon. The known string tension K and approximately-known gluon mass M lead to a precise specification of the long-range non-relativistic part of…

High Energy Physics - Phenomenology · Physics 2009-11-10 John M. Cornwall