RT Journal Article T1 Gravitational and electromagnetic Cherenkov radiation constraints in modified dispersion relations A1 Artola Pérez, Mikel A1 Ruiz Cembranos, José Alberto A1 Martín Moruno, María Del Prado AB Motivated by different approaches to quantum gravity, one could consider that Lorentz invariance is not an exact symmetry of nature at all energy scales. Following this spirit, modified dispersion relations have been used to encapsulate quantum gravity phenomenology. In the present work, we propose a class of Lorentz invariance violating phenomenological dispersion relations, which could be different for each particle species, to study the generalized vacuum Cherenkov radiation process. We identify the kinematic regions where the process is allowed and then compute the energy loss rate due to the emission of vacuum electromagnetic and gravitational Cherenkov radiation. Furthermore, we estimate constraints for the Lorentz invariance breaking parameters of protons and gravitons taking into account the existence (or absence) of vacuum gravitational Cherenkov radiation using ultrahigh energy cosmic ray detections. PB American Physical Society SN 2470-0010 YR 2024 FD 2024 LK https://hdl.handle.net/20.500.14352/114070 UL https://hdl.handle.net/20.500.14352/114070 LA eng NO M. Artola, J. A. R. Cembranos, and P. Martín-Moruno, Gravitational and electromagnetic Cherenkov radiation constraints in modified dispersion relations, Phys. Rev. D 110, 124060 (2024). NO CA22113CA23130. NO Ministerio de Ciencia e Innovación (España) NO Agencia Estatal de Investigación (España) NO European Commission DS Docta Complutense RD 10 abr 2025