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Fermions in two-dimensional space, commonly called $(1+2)$-dimensional fermions, exhibit intriguing and distinctive characteristics that distinguish them from their higher-dimensional counterparts. This paper offers a comprehensive…

High Energy Physics - Theory · Physics 2025-10-28 J. A. A. S. Reis , L. Lisboa-Santos , Fabiano M. Andrade , Frankbelson dos S. Azevedo , Edilberto O. Silva

We consider the coupling of fermions to the three-dimensional noncommutative $CP^{N-1}$ model. In the case of minimal coupling, although the infrared behavior of the gauge sector is improved, there are dangerous (quadratic) infrared…

High Energy Physics - Theory · Physics 2009-11-10 E. A. Asano , H. O. Girotti , M. Gomes , A. Yu. Petrov , A. G. Rodrigues , A. J. da Silva

Radiative corrections arising from Lorentz violation in the fermion sector induce a nonzero amplitude for vacuum photon splitting. At one loop, the on-shell amplitude acquires both CPT-even and CPT-odd contributions forbidden in…

High Energy Physics - Phenomenology · Physics 2009-09-25 Alan Kostelecky , Austin Pickering

Lorentz and CPT violation in hadronic physics must be tied to symmetry violations at the underlying quark and gluon level. Chiral perturbation theory provides a method for translating novel operators that may appear in the Lagrange density…

High Energy Physics - Phenomenology · Physics 2019-10-24 Brett Altschul , Matthias R. Schindler

In this talk, I discuss some recent theoretical progress concerning the Lorentz- and CPT-violating extension of the standard model. The results summarized include the development of an explicit connection between noncommutative field theory…

High Energy Physics - Phenomenology · Physics 2009-11-10 Don Colladay

In this work we analyse a non-minimal Lorentz-violating extension of the electroweak theory in the fermionic sector. Firstly we analyse the relation between the CKM rotation in the quark sector and possible contributions of this new…

High Energy Physics - Phenomenology · Physics 2020-04-22 Y. M. P. Gomes , J. A. Helayel-Neto

In the context of conventional quantum field theory, we present a general Lorentz-violating extension of the minimal SU(3) x SU(2) x U(1) standard model including CPT-even and CPT-odd terms. It can be viewed as the low-energy limit of a…

High Energy Physics - Phenomenology · Physics 2008-11-26 Don Colladay , Alan Kostelecky

We consider the Lorentz-violating extended QED involving all nonminimal dimension-5 additive CPT-odd terms. For this theory, we investigate the possibility of generating the Carroll-Field-Jackiw (CFJ) term of the first order in any of these…

High Energy Physics - Theory · Physics 2021-11-09 T. Mariz , R. Martinez , J. R. Nascimento , A. Yu. Petrov

A theoretical study of possible signals for CPT and Lorentz violation arising in hydrogen and antihydrogen spectroscopy is described. The analysis uses a CPT- and Lorentz-violating extension of quantum electrodynamics, obtained from a…

High Energy Physics - Phenomenology · Physics 2009-10-31 Robert Bluhm , Alan Kostelecky , Neil Russell

The electric dipole moment (EDM) of an atom could arise also from $P$-odd and $T$-odd electron-nucleon couplings. In this work we investigate a general class of dimension-$6$ electron-nucleon ($e$-$N$) nonminimal interactions mediated by…

High Energy Physics - Phenomenology · Physics 2019-08-07 Jonas B. Araujo , A. H. Blin , Marcos Sampaio , Manoel M. Ferreira

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

Gauge anomalous quantum field theories are inconsistent as full UV theories since they lead to the breaking of Lorentz invariance or Unitarity, as well as non-renormalizability. It is well known, however, that they can be interpreted as…

High Energy Physics - Phenomenology · Physics 2025-06-18 Anibal D. Medina , Nicolás I. Mileo , Alejandro Szynkman , Santiago A. Tanco , Carlos E. M. Wagner , Gabriel Zapata

Some aspects of the nonbirefringent CPT-even gauge sector of the Standard Model Extension (SME), in the vicinity of a semi-transparent mirror, are investigated in this paper. We first consider a model where the Lorentz symmetry breaking is…

High Energy Physics - Theory · Physics 2022-05-12 L. H. C. Borges , A. F. Ferrari

The formulation and some experimental implications of a general Lorentz-violating extension of the standard model are reviewed. The theory incorporates both CPT-preserving and CPT-breaking terms. It is otherwise a conventional quantum field…

High Energy Physics - Phenomenology · Physics 2007-05-23 Alan Kostelecky

The recent introduction of a deformed non-minimal version of the noncommutative Standard Model in the enveloping-algebra approach, having a one-loop renormalisable gauge sector involving a higher order gauge term, motivates us to consider…

High Energy Physics - Theory · Physics 2010-04-30 C. Tamarit , J. Trampetic

We look for minimal chiral sets of fermions beyond the standard model that are anomaly free and, simultaneously, vectorlike particles with respect to colour SU(3) and electromagnetic U(1). We then study whether the addition of such…

High Energy Physics - Phenomenology · Physics 2015-06-22 Luis M. Cebola , D. Emmanuel-Costa , R. Gonzalez Felipe , C. Simoes

In this paper, we explicitly calculate the lower CPT-even one-loop quantum corrections in nonminimal Lorentz-violating spinor QED with all possible CPT-even dimension-5 operators. Within our calculations, we restrict ourselves to the cases…

High Energy Physics - Theory · Physics 2024-01-19 T. Mariz , M. Melo , J. R. Nascimento , A. Yu. Petrov

There exist two deformations of standard electrodynamics that describe Lorentz symmetry violation in the photon sector: CPT-odd Maxwell-Chern-Simons theory and CPT-even modified Maxwell theory. In this article, we focus on the parity-odd…

High Energy Physics - Theory · Physics 2015-03-19 Marco Schreck

Assuming Lorentz symmetry is broken by some fixed vector background, we study the spinor electrodynamics modified by two dimension-five Lorentz-violating interactions between fermions and photons. The effective polarization and…

High Energy Physics - Theory · Physics 2015-06-15 Shan-quan Lan , Feng Wu

The impact of the CPT-Odd electroweak gauge sector of the Standard Model Extension on the electromagnetic properties of charged leptons is studied. This gauge sector is characterized by the $(k_1)_\mu$ and $(k_2)_\mu$ Lorentz violation (LV)…

High Energy Physics - Phenomenology · Physics 2024-11-28 J. S. Hurtado-Silva , J. J. Toscano , O. Vázquez-Hernández