Pair Production Constraints on Superluminal Neutrinos Revisited

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We revisit the pair creation constraint on superluminal neutrinos considered by Cohen and Glashow in order to clarify which types of superluminal models are constrained. We show that a model in which the superluminal neutrino is effectively light-like can evade the Cohen-Glashow constraint. In summary, any model for which the CG pair production process operates is excluded because such timelike neutrinos would not be detected by OPERA or other experiments. However, a superluminal neutrino which is effectively lightlike with fixed p{sup 2} can evade the Cohen-Glashow constraint because of energy-momentum conservation. The coincidence involved in explaining the SN1987A constraint certainly ... continued below

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5 pages

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Brodsky, Stanley J.; /SLAC; Gardner, Susan & U., /Kentucky February 16, 2012.

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We revisit the pair creation constraint on superluminal neutrinos considered by Cohen and Glashow in order to clarify which types of superluminal models are constrained. We show that a model in which the superluminal neutrino is effectively light-like can evade the Cohen-Glashow constraint. In summary, any model for which the CG pair production process operates is excluded because such timelike neutrinos would not be detected by OPERA or other experiments. However, a superluminal neutrino which is effectively lightlike with fixed p{sup 2} can evade the Cohen-Glashow constraint because of energy-momentum conservation. The coincidence involved in explaining the SN1987A constraint certainly makes such a picture improbable - but it is still intrinsically possible. The lightlike model is appealing in that it does not violate Lorentz symmetry in particle interactions, although one would expect Hughes-Drever tests to turn up a violation eventually. Other evasions of the CG constraints are also possible; perhaps, e.g., the neutrino takes a 'short cut' through extra dimensions or suffers anomalous acceleration in matter. Irrespective of the OPERA result, Lorentz-violating interactions remain possible, and ongoing experimental investigation of such possibilities should continue.

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5 pages

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  • Journal Name: Submitted to Physical Review D

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  • Report No.: SLAC-PUB-14812
  • Grant Number: AC02-76SF00515
  • Office of Scientific & Technical Information Report Number: 1035083
  • Archival Resource Key: ark:/67531/metadc847146

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  • February 16, 2012

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  • May 19, 2016, 3:16 p.m.

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  • Nov. 30, 2016, 3:16 p.m.

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Brodsky, Stanley J.; /SLAC; Gardner, Susan & U., /Kentucky. Pair Production Constraints on Superluminal Neutrinos Revisited, article, February 16, 2012; United States. (digital.library.unt.edu/ark:/67531/metadc847146/: accessed September 21, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.