Simple and precise factorization of the Jarlskog invariant for neutrino oscillations in matter

Journal Article · Wed Sep 11 00:00:00 EDT 2019 · Physical Review. D.

DOI:https://doi.org/10.1103/PhysRevD.100.053004· OSTI ID:1561336

Denton, Peter B.; Parke, Stephen J.

For neutrino propagation in matter, we show that the Jarlskog invariant, which controls the size of true CP violation in neutrino oscillation appearance experiments, factorizes into three pieces: the vacuum Jarlskog invariant times two simple two-flavor matter resonance factors that control the matter effects for the solar and atmospheric resonances independently. If the solar effective matter potential and the atmospheric effective Δm² are chosen carefully for these two resonance factors, then the fractional corrections to this factorization are an impressive 0.04% or smaller. We also show that the inverse of the square of the Jarlskog in matter (1/$$\hat{J}^2$$) is a fourth order polynomial in the matter potential which guarantees that it can be factored into two quadratics which immediately implies the functional form of our approximate, factorized expression.

• Research Organization: Brookhaven National Laboratory (BNL), Upton, NY (United States); Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)
• Sponsoring Organization: USDOE Office of Science (SC), High Energy Physics (HEP)
• Grant/Contract Number: SC0012704; AC02-07CH11359
• OSTI ID: 1561336
• Alternate ID(s): OSTI ID: 1529342; OSTI ID: 1562465
• Report Number(s): arXiv:1902.07185; FERMILAB-PUB-19-072-T; BNL-212090-2019-JAAM; PRVDAQ; 053004
• Journal Information: Physical Review. D., Journal Name: Physical Review. D. Vol. 100 Journal Issue: 5; ISSN 2470-0010
• Publisher: American Physical Society (APS)
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
neutrino
CP
violation
quarks
lepton
neutrinos
Jarlskog