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We review the basic concepts of all-order calculations in Quantum Chromodynamics (QCD) and their application to collider phenomenology. We start by discussing the factorization properties of QCD amplitudes and cross-sections in the soft and…

High Energy Physics - Phenomenology · Physics 2017-10-11 Gionata Luisoni , Simone Marzani

The vNRQCD Lagrangian for colored heavy scalar fields in the fundamental representation of QCD and the renormalization group analysis of the corresponding operators are presented. The results are an important ingredient for renormalization…

High Energy Physics - Phenomenology · Physics 2009-11-11 Andre H. Hoang , Pedro Ruiz-Femenia

We give an overview of the current theoretical status of proper time renormalization group flow equations applied to QCD. These equations give the evolution of coupling constants in an effective QCD Lagrangian as a function of an infra-red…

High Energy Physics - Phenomenology · Physics 2007-05-23 H. J. Pirner

Holographic QCD is an extra-dimensional approach to modeling hadrons, the bound states of the strong interactions. In holographic models, the extra spatial dimension creates a waveguide for fields, and the discrete towers of modes…

High Energy Physics - Phenomenology · Physics 2014-07-21 Joshua Erlich

The renormalization scheme for the Wick expansion of a modified version of the perturbative QCD introduced in previous works is discussed. Massless QCD is considered, by implementing the usual multiplicative scaling of the gluon and quark…

High Energy Physics - Phenomenology · Physics 2014-11-18 Alejandro Cabo Montes de Oca

The Wilsonian renormalization group implies that an arbitrary four dimensional field theory with an ultraviolet cutoff is equivalent to a theory which is renormalizable by power counting at energy scales much below the cutoff. This applies…

High Energy Physics - Theory · Physics 2009-10-31 Hidenori Sonoda

We present a simple extension of the semi-classical model for a two-level system in a cavity, in order to incorporate multiple polarized transitions, such as those appearing in neutral and charged quantum dots (QDs), and two nondegenerate…

In this work the determination of low-energy bound states in Quantum Chromodynamics is recast so that it is linked to a weak-coupling problem. This allows one to approach the solution with the same techniques which solve Quantum…

High Energy Physics - Theory · Physics 2009-10-28 K. G. Wilson , T. Walhout , A. Harindranath , W. M. Zhang , R. J. Perry , S. Glazek

In recent work we showed that the relic dark matter abundance of QCD axions can be altered when the Peccei-Quinn (PQ) field is coupled to very light scalar/s, rendering the effective axion mass dynamical in the early universe. In this work…

High Energy Physics - Phenomenology · Physics 2023-02-28 Itamar J. Allali , Mark P. Hertzberg , Yi Lyu

The long standing problem of non perturbative renormalization of a gauge field theoretical Hamiltonian is addressed and explicitly carried out within an (effective) light-cone Hamiltonian approach to QCD. The procedure is in line with the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hans-Christian Pauli

Methods of summation of power series relevant to applications in quantum theory are reviewed, with particular attention to expansions in powers of the coupling constant and in inverse powers of an energy variable. Alternatives to the Borel…

High Energy Physics - Phenomenology · Physics 2009-10-30 Jan Fischer

We propose a QCD axion model where the origin of PQ symmetry and suppression of axion isocurvature perturbations are explained by introducing an extra dimension. Each extra quark-antiquark pair lives on branes separately to suppress PQ…

High Energy Physics - Phenomenology · Physics 2015-09-30 Masahiro Kawasaki , Masaki Yamada , Tsutomu T. Yanagida

The field theoretic renormalization study of reduced quantum electrodynamics (QED) is performed up to two loops. In the condensed matter context, reduced QED constitutes a very natural effective relativistic field theory describing (planar)…

High Energy Physics - Theory · Physics 2018-04-05 S. Teber , A. V. Kotikov

Light-front coordinates offer a scenario in which a constituent approximation of hadron structure can emerge from QCD. This requires cutoffs that violate Lorentz covariance and gauge invariance, and a new renormalization group formalism…

High Energy Physics - Theory · Physics 2007-05-23 Robert J. Perry

QCD at large density reveals a rich phase structure, ranging from a potential critical end point and inhomogeneous phases or moat regimes to color superconducting ones with competing order effects. Resolving this region in the phase diagram…

High Energy Physics - Theory · Physics 2023-09-15 Friederike Ihssen , Jan M. Pawlowski , Franz R. Sattler , Nicolas Wink

We introduce a two-flavor quark-meson-diquark model for two-color QCD and its extensions to include gauge-field dynamics as described by the Polakov loop. Grand potential and phase structure are being studied both in mean-field…

High Energy Physics - Phenomenology · Physics 2013-05-30 Nils Strodthoff , Bernd-Jochen Schaefer , Lorenz von Smekal

We present a specific class of models for an infrared-finite analytic QCD coupling, such that at large space-like energy scales the coupling differs from the perturbative one by less than any inverse power of the energy scale. This…

High Energy Physics - Phenomenology · Physics 2008-11-26 Gorazd Cvetic , Cristian Valenzuela

We present a renormalizable theory of scalars in which the low energy effective theory contains a pseudo-Goldstone Boson with a compact field space of 2{\pi} F and an approximate discrete shift symmetry Z_Q with Q>>1, yet the number of…

High Energy Physics - Phenomenology · Physics 2016-04-13 David E. Kaplan , Riccardo Rattazzi

Radiation and energy loss of a light, high-energy parton in a perturbative Quark-Gluon Plasma is controlled by transverse momentum exchange. The troublesome infrared contributions to transverse momentum exchange can be computed on the…

High Energy Physics - Lattice · Physics 2015-06-18 Michela D'Onofrio , Aleksi Kurkela , Guy D. Moore

The renormalization of the effective QCD-Hamiltonian theory for the quark-antiquark channel is performed in terms of a renormalized or fixed-point Hamiltonian that leads to subtracted dynamical equations. The fixed point-Hamiltonian brings…

High Energy Physics - Phenomenology · Physics 2009-11-07 T. Frederico , H. -C. Pauli