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Quantum electrodynamics (QED) fixed in the 't~Hooft-Veltman gauge is renormalized to three loops in the MSbar scheme. The beta-functions and anomalous dimensions are computed as functions of the usual QED coupling and the additional…

High Energy Physics - Theory · Physics 2008-11-26 J. A. Gracey

We compute analytically the all-loop level critical exponents for a massless thermal Lorentz-violating O($N$) self-interacting $\lambda\phi^{4}$ scalar field theory. For that, we evaluate, firstly explicitly up to next-to-leading order and…

High Energy Physics - Theory · Physics 2019-10-03 Paulo R. S. Carvalho

In this work we study a z=3 Horava-Lifshitz-like extension of QED in (3+1) dimensions. We calculate the one-loop radiative corrections to the two and three-point functions of the gauge and fermion fields. Such corrections were achieved…

High Energy Physics - Theory · Physics 2018-11-30 M. Gomes , F. Marques , T. Mariz , J. R. Nascimento , A. Yu. Petrov , A. J. da Silva

We compute the beta-function and the anomalous dimension of all the non-derivative operators of the theory up to three-loops for the most general nearest-neighbour O(N)-invariant action together with some contributions to the four-loop…

High Energy Physics - Lattice · Physics 2009-10-22 Sergio Caracciolo , Andrea Pelissetto

We calculate the three- and four-loop corrections to the massless fermion propagator in three-dimensional quenched Quantum Electrodynamics with four-component fermions. The three-loop correction is finite and gauge invariant but the…

High Energy Physics - Theory · Physics 2020-11-18 A. F. Pikelner , V. P. Gusynin , A. V. Kotikov , S. Teber

The paper studies the quantum action for the five-dimensional real $\phi^3$-theory in the case of a general formulation using the background field method. The three-loop renormalization is performed with the usage of a cutoff regularization…

High Energy Physics - Theory · Physics 2024-10-29 A. V. Ivanov , N. V. Kharuk

An attempt is made to incorporate the electromagnetic interaction in a Lorentz invariant but CPT violating non-local model with particle-antiparticle mass-splitting, which is regarded as a modified QED. The gauge invariance is maintained by…

High Energy Physics - Theory · Physics 2015-06-11 Masud Chaichian , Kazuo Fujikawa , Anca Tureanu

We review the techniques necessary for the calculation of virtual electroweak and soft photonic corrections at the one-loop level. In particular we describe renormalization, calculation of one-loop integrals and evaluation of one-loop…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ansgar Denner

The Quantum Heisenberg Ferromagnet can be naturally reformulated in terms of interacting bosons (called spin waves or magnons) as an expansion in the inverse spin size. We calculate the first order interaction correction to the free energy,…

Mathematical Physics · Physics 2017-03-08 Niels Benedikter

Renormalization factors for local vector and axial vector currents for the Wilson quark action are perturbatively calculated to one loop order including finite quark masses from the ratio of the on-shell quark matrix elements in the Feynman…

High Energy Physics - Lattice · Physics 2009-10-30 Yoshinobu Kuramashi

We calculate quantum corrections to the mass of noncommutative phi^4 kink in (1+1) dimensions for intermediate and large values of the noncommutativity parameter theta. All one-loop divergences are removed by a mass renormalization (which…

High Energy Physics - Theory · Physics 2008-11-26 R. A. Konoplya , D. V. Vassilevich

Investigating quantum effects arising from high loops in perturbation theory is crucial for the physical applications of any quantum field theory. This paper presents a comprehensive analysis of the two-loop renormalization of CPT-even…

High Energy Physics - Theory · Physics 2024-01-30 L. C. T. Brito , J. C. C. Felipe , A. C. Lehum , A. Yu. Petrov

Different mathematical methods have been applied to obtain the analytic result for the massless triangle Feynman diagram yielding a sum of four linearly independent hypergeometric functions of two variables $F_4$. These are defined for…

Mathematical Physics · Physics 2015-03-19 A. T. Suzuki

We investigate the radiative quantum electrodynamic (QED) corrections to the lepton ($L=e, ~\mu $ and $\tau$) anomalous magnetic moment due to the contributions of diagrams with insertions of the photon vacuum polarisation operator…

High Energy Physics - Phenomenology · Physics 2023-10-19 O. P. Solovtsova , V. I. Lashkevich , L. P. Kaptari

Lorentz violation emerged from a fundamental description of nature may impact, at low energies, the Maxwell sector, so that contributions from such new physics to the electromagnetic vertex would be induced. Particularly, nonbirefringent…

High Energy Physics - Phenomenology · Physics 2014-09-03 A. Moyotl , H. Novales-Sánchez , J. J. Toscano , E. S. Tututi

Observable effects for the Lorentz invariance violation (LIV) at a low energy scale can also be investigated in double beta decay (DBD). For example, by comparing the theoretical predictions with a precise analysis of the summed energy…

Nuclear Theory · Physics 2020-03-12 Ovidiu Nitescu , Stefan Ghinescu , Sabin Stoica

In the context of the nonminimal Standard-Model Extension a special subset of the CPT-even higher-dimensional operators in the photon sector is discussed from a quantum-field theoretical point of view. The modified dispersion laws, photon…

High Energy Physics - Theory · Physics 2014-05-28 M. Schreck

Analytical expressions for the tenth order electromagnetic corrections to the lepton ($L=e, ~\mu $ and $\tau$) anomaly $a_L$ are derived explicitly for a class of Feynman diagrams with insertions of the vacuum polarization operator…

High Energy Physics - Phenomenology · Physics 2024-06-25 O. P. Solovtsova , V. I. Lashkevich , L. P. Kaptari

In this paper we propose a non-minimal, and ghost free, coupling between the gauge field and the fermionic one from which we obtain, perturbatively, terms with higher order derivatives as quantum corrections to the photon effective action…

High Energy Physics - Theory · Physics 2019-06-07 L. H. C. Borges , F. A. Barone , C. A. M. de Melo , F. E. Barone

We discuss several aspects of state-of-the-art calculations of radiative electroweak symmetry breaking in supergravity models. These models have a five-dimensional parameter space in contrast with the 21-dimensional one of the MSSM. We…

High Energy Physics - Phenomenology · Physics 2009-10-22 S. Kelley , J. Lopez , D. Nanopoulos , H. Pois , K. Yuan