Abstract
In the last years the Lorentz Violation scheme was implemented in QFT, in special in standard model of particle physics, in an attempt to explain our actual open problems. In this work we analyze nonminimal couplings between a Lorentz-violating 4-vector and the photon field and the leptonic current of QED. The 1-loop contribution of the elastic photon-photon scattering is showed and the novel characteristics which arose are pointed out.
Highlights
The Standard Model of particle physics (SM) has been successful over the past years in its attempt to describe high-energy physical phenomena
A Lorentz symmetry violation scheme has been implemented in the Standard Model of particle physics in an attempt to explain important open problems
The main idea is that vector or tensor fields could acquire nonzero vacuum expectations values, implying that the Lorentz symmetry should be broken by these vacuum expectation values
Summary
The Standard Model of particle physics (SM) has been successful over the past years in its attempt to describe high-energy physical phenomena. The measurements carried out in particle accelerators have shown a remarkable agreement between theory and experiment. Despite this success, there are still open issues such as the hierarchy, the strong CP, and the cosmological constant problems [1,2], for which the SM offers no satisfactory explanation. We shall analyze the contribution of two nonminimal LV couplings in quantum electrodynamics (QED), to the elastic scattering between two photons, called elastic light-by-light (LbyL) scattering. This paper is organized as follows: in Sec. II, we discuss the photon-photon scattering in more detail; in Sec. III, we introduce the nonminimal couplings which are analyzed in this work, and, in Sec. IV, we calculate the contribution of the nonminimal LV couplings to elastic LbyL scattering.
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