- Access by Xinjiang University
Use of energy loss mechanisms to constrain Lorentz invariance violations
Phys. Rev. D 89, 056012 – Published 20 March, 2014
DOI: https://doi.org/10.1103/PhysRevD.89.056012
Abstract
In light of recent and probably incoming observations of very high energy astroparticles, such as those reported by the IceCube collaboration, we readdress the energy loss mechanism by Lorentz violating particles. We analytically show that Cohen–Glashow’s formula for energy loss is connected with a Poisson distribution for the number of decays, for which the large fluctuations prevent placing bounds on Lorentz invariance violations. However, this model ignores the sharp change in the decay width after each process. We propose replacing Poisson statistics with a new distribution that takes this into account. We study the average final energy and its fluctuations according to the new statistics, contrasting it with Cohen–Glashow’s result, and discussing the reliability of energy loss mechanisms to constrain violations of Lorentz invariance.
Article Text
References (24)
- V. A. Kostelecky and S. Samuel, Phys. Rev. D 39, 683 (1989).
- N. E. Mavromatos, Proc. Sci., QG-PH (2007) 027.
- C. Barcelo, S. Liberati, and M. Visser, Living Rev. Relativity 8, 12 (2005); 14, 3 (2011).
- S. Liberati, Classical Quantum Gravity 30, 133001 (2013).
- G. Amelino-Camelia, Living Rev. Relativity 16, 5 (2013).
- D. Mattingly, Living Rev. Relativity 8, 5 (2005).
- L. J. Garay, Int. J. Mod. Phys. A 10, 145 (1995).
- S. Hossenfelder, Living Rev. Relativity 16, 2 (2013).
- J. R. Ellis, J. S. Hagelin, D. V. Nanopoulos, and M. Srednicki, Nucl. Phys. B241, 381 (1984).
- F. Mercati, D. Mazon, G. Amelino-Camelia, J. M. Carmona, J. L. Cortes, J. Indurain, C. Laemmerzahl, and G. M. Tino, Classical Quantum Gravity 27, 215003 (2010).
- I. Ruo Berchera, I. P. Degiovanni, S. Olivares, and M. Genovese, Phys. Rev. Lett. 110, 213601 (2013).
- L. Gonzalez-Mestres, arXiv:physics/9705031.
- S. R. Coleman and S. L. Glashow, Phys. Rev. D 59, 116008 (1999).
- R. Aloisio, P. Blasi, P. L. Ghia, and A. F. Grillo, Phys. Rev. D 62, 053010 (2000).
- W. Bietenholz, Phys. Rep. 505, 145 (2011).
- M. G. Aartsen et al. (IceCube Collaboration), Phys. Rev. Lett. 111, 021103 (2013).
- M. G. Aartsen et al. (IceCube Collaboration), Science 342, 1242856 (2013).
- E. Borriello, S. Chakraborty, A. Mirizzi, and P. D. Serpico, Phys. Rev. D 87, 116009 (2013).
- F. W. Stecker, arXiv:1306.6095.
- J. S. Diaz, A. Kostelecky, and M. Mewes, arXiv:1308.6344.
- A. G. Cohen and S. L. Glashow, Phys. Rev. Lett. 107, 181803 (2011).
- J. M. Carmona, J. L. Cortes, and D. Mazon, Phys. Rev. D 85, 113001 (2012).
- L. Maccione, S. Liberati, and D. M. Mattingly, J. Cosmol. Astropart. Phys. 03 (2013) 039.
- R. Cowsik, T. Madziwa-Nussinov, S. Nussinov, and U. Sarkar, Phys. Rev. D 86, 045024 (2012).