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We consider the most general axion-like particle effective field theory, including both CP-odd and CP-even types of interactions, and evaluate the corresponding renormalization group equations, improving and extending previous results in…

High Energy Physics - Phenomenology · Physics 2026-05-26 Luigi C. Bresciani , Giacomo Brunello , Gabriele Levati , Pierpaolo Mastrolia , Paride Paradisi

Differential regularization is used to investigate the one-loop quantum corrections to Chern-Simons-Maxwell spinor and scalar electrodynamics. We illustrate the techniques to write the loop amplitudes in coordinate space. The short-distance…

High Energy Physics - Theory · Physics 2009-10-30 M. Chaichian , W. F. Chen , H. C. Lee

We present the three-loop QCD+QED mixed corrections to the on-shell quark mass and wave-function renormalization constants through orders $\mathcal{O}(\alpha_s^m\alpha^n)$ with $m+n=3$. We further derive the three-loop relation between the…

High Energy Physics - Phenomenology · Physics 2026-02-24 Long Chen , Hong-Yang Han , Zhe Li , Marco Niggetiedt

We reconsider the renormalization of scalar mass and point out that the quantum correction to the physical observable, as opposed to the bare parameter, of a renormalizable operator, is technically insensitive to ultraviolet physics and…

High Energy Physics - Phenomenology · Physics 2024-11-22 Kang-Sin Choi

We extend a previous Landau-gauge study of subtractive renormalization of the fermion propagator Dyson-Schwinger equation (DSE) in strong-coupling, quenched QED_4 to arbitrary covariant gauges. We use the fermion-photon proper vertex…

High Energy Physics - Phenomenology · Physics 2010-03-04 Frederick T. Hawes , Anthony G. Williams , Craig D. Roberts

We study quantum Chern-Simons theory as the large mass limit of the limit $D\to 3$ of dimensionally regularized topologically massive Yang-Mills theory. This approach can also be interpreted as a BRS-invariant hybrid regularization of…

High Energy Physics - Theory · Physics 2014-11-18 G. Giavarini , C. P. Martin , F. Ruiz Ruiz

Using quantum electrodynamics as an example, a dependence of physical predictions of quantum field theory in a finite perturbation theory order on the choice of renormalization scheme is studied. It is shown that On-Mass-Shell…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Konychev

The inclusion of the unstable features of a spin-1 particle, without breaking the electromagnetic gauge invariance, can be properly accomplished by including higher order contributions as done in the so-called fermion loop scheme (for the W…

High Energy Physics - Phenomenology · Physics 2010-04-22 D. Garcia Gudino , G. Toledo Sanchez

This letter examines diagrammatic cancellations for Quantum Electrodynamics (QED) in the general linear gauge. These cancellations combine Feynman graphs of various topologies and provide a method to reconstruct the gauge dependence of the…

High Energy Physics - Theory · Physics 2016-12-20 Henry Kißler , Dirk Kreimer

We consider a spin-$\frac12$ electron in a translation-invariant model of non-relativistic Quantum Electrodynamics (QED). Let $H(\vp,\sig)$ denote the fiber Hamiltonian corresponding to the conserved total momentum $\vp\in\R^3$ of the Pauli…

Mathematical Physics · Physics 2008-04-02 Thomas Chen

Reaching a theoretical accuracy in the prediction of the lightest MSSM Higgs-boson mass, M_h, at the level of the current experimental precision requires the inclusion of momentum-dependent contributions at the two-loop level. Recently two…

High Energy Physics - Phenomenology · Physics 2015-09-30 S. Borowka , T. Hahn , S. Heinemeyer , G. Heinrich , W. Hollik

We study the asymptotic behaviour of the perturbative series in the heavy quark effective theory (HQET) using the $1/N_f$ expansion. We find that this theory suffers from an {\it ultraviolet} renormalon problem, corresponding to a…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. Beneke , V. M. Braun

The renormalisation group running of the quark mass is determined non-perturbatively for a large range of scales, by computing the step scaling function in the Schroedinger Functional formalism of quenched lattice QCD both with and without…

High Energy Physics - Lattice · Physics 2009-11-10 M. Guagnelli , J. Heitger , F. Palombi , C. Pena , A. Vladikas

A precise calculation of the lepton anomalous magnetic moments (AMM) requires an evaluation of the quantum electrodynamics (QED) Feynman diagrams up to five independent loops. The complicated structure of ultraviolet (UV), infrared (IR) and…

High Energy Physics - Phenomenology · Physics 2023-02-20 Sergey Volkov

We study in detail various aspects of the renormalization of the spin-1 resonance propagator in the effective field theory framework. First, we briefly review the formalisms for the description of spin-1 resonances in the path integral…

High Energy Physics - Phenomenology · Physics 2011-02-28 Karol Kampf , Jiri Novotny , Jaroslav Trnka

Employing the heavy quark pole mass and static potential that were obtained from resummation of the renormalon-caused large order behavior to all orders, and matching the resummed static potential to the long distance Cornell potential we…

High Energy Physics - Phenomenology · Physics 2007-05-23 C. S. Kim , Taekoon Lee , Guo-Li Wang

A new approach to nonperturbative calculations in quantum electrodynamics is proposed. The approach is based on a regular iteration scheme for solution of Schwinger-Dyson equations for generating functional of Green functions. The approach…

High Energy Physics - Phenomenology · Physics 2008-11-26 V. E. Rochev

The numerical value of the fine-structure constant generally leads to small isospin-breaking effects due to electromagnetism in QCD. This smallness complicates determining isospin breaking from lattice QCD computations that include…

High Energy Physics - Lattice · Physics 2017-06-07 Matthew E. Matzelle , Brian C. Tiburzi

A new proof of perturbative renormalizability and infrared finiteness for a scalar massless theory is obtained from a formulation of renormalized field theory based on the Wilson renormalization group. The loop expansion of the renormalized…

High Energy Physics - Theory · Physics 2009-10-22 M. Bonini , M. D'Attanasio , G. Marchesini

We consider a model with arbitrary numbers of Majorana fermion fields and real scalar fields $\varphi_a$, general Yukawa couplings and a $\mathbb{Z}_4$ symmetry that forbids linear and trilinear terms in the scalar potential. Moreover,…

High Energy Physics - Phenomenology · Physics 2018-01-22 M. Fox , W. Grimus , M. Löschner