Journal of High Energy Physics
, 2012:87
First online:
Lorentz violating kinematics: threshold theorems
 Valentina BaccettiAffiliated withSchool of Mathematics, Statistics, and Operations Research, Victoria University of Wellington Email author
 , Kyle TateAffiliated withSchool of Mathematics, Statistics, and Operations Research, Victoria University of Wellington
 , Matt VisserAffiliated withSchool of Mathematics, Statistics, and Operations Research, Victoria University of Wellington
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Recent tentative experimental indications, and the subsequent theoretical speculations, regarding possible violations of Lorentz invariance have attracted a vast amount of attention. An important technical issue that considerably complicates detailed calculations in any such scenario, is that once one violates Lorentz invariance the analysis of thresholds in both scattering and decay processes becomes extremely subtle, with many new and naively unexpected effects. In the current article we develop several extremely general threshold theorems that depend only on the existence of some energy momentum relation E(p), eschewing even assumptions of isotropy or monotonicity. We shall argue that there are physically interesting situations where such a level of generality is called for, and that existing (partial) results in the literature make unnecessary technical assumptions. Even in this most general of settings, we show that at threshold all final state particles move with the same 3velocity, while initial state particles must have 3velocities parallel/antiparallel to the final state particles. In contrast the various 3momenta can behave in a complicatedand counterintuitive manner.
Keywords
SpaceTime Symmetries Beyond Standard Model Neutrino Physics Global Symmetries Title
 Lorentz violating kinematics: threshold theorems
 Journal

Journal of High Energy Physics
2012:87
 Online Date
 March 2012
 DOI
 10.1007/JHEP03(2012)087
 Online ISSN
 10298479
 Publisher
 SpringerVerlag
 Additional Links
 Topics
 Keywords

 SpaceTime Symmetries
 Beyond Standard Model
 Neutrino Physics
 Global Symmetries
 Authors

 Valentina Baccetti ^{(1)}
 Kyle Tate ^{(1)}
 Matt Visser ^{(1)}
 Author Affiliations

 1. School of Mathematics, Statistics, and Operations Research, Victoria University of Wellington, PO Box 600, Wellington, 6140, New Zealand