Twobody decays in deformed relativity
 verfasst von
 Iarley P. Lobo, Christian Pfeifer, Pedro H. Morais, Rafael Alves Batista, Valdir B. Bezerra
 Abstract
Deformed relativistic kinematics is a framework which captures effects, that are expected from particles and fields propagating on a quantum spacetime, effectively. They are formulated in terms of a modified dispersion relation and a modified momentum conservation equation. In this work we use Finsler geometry to formulate deformed relativistic kinematics in terms of particle velocities. The relation between the Finsler geometric velocity dependent formulation and the original momentum dependent formulation allows us to construct deformed Lorentz transformations between arbitrary frames. Moreover, we find the corresponding compatible momentum conservation equation to first order in the Planck scale deformation of special relativity based on the κPoincaré algebra in the bicrossproduct basis. We find that the deformed Lorentz transformations, as well as the deformed time dilation factor, contain terms that scale with the energy of the particle under consideration to the fourth power. We derive how the distributions of decay products are affected when the deformed relativity principle is satisfied and find, for the case of a pion decaying into a neutrino and a muon, that the ratio of expected neutrinos to muons with a certain energy is just slightly modified when compared to the predictions based on special relativity. We also discuss the phenomenological consequences of this framework for cosmicray showers in the atmosphere.
 Externe Organisation(en)

Universidade Federal da Paraiba
Universidade Federal de Lavras
Zentrum für angewandte Raumfahrttechnologie und Mikrogravitation (ZARM)
 Typ
 Artikel
 Journal
 Journal of high energy physics
 Band
 2022
 ISSN
 10298479
 Publikationsdatum
 01.09.2022
 Publikationsstatus
 Veröffentlicht
 Peerreviewed
 Ja
 ASJC Scopus Sachgebiete
 Kern und Hochenergiephysik
 Elektronische Version(en)

https://doi.org/10.1007/JHEP09(2022)003 (Zugang:
Offen)