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Title: What is $$\Delta m^2_{ee}$$ ?

Here, the current short baseline reactor experiments, Daya Bay and RENO (Double Chooz) have measured (or are capable of measuring) an effective Δm 2 associated with the atmospheric oscillation scale of 0.5 km/MeV in electron antineutrino disappearance. In this paper, I compare and contrast the different definitions of such an effective Δm 2 and argue that the simple, L/E independent definition given by Δ mee 2≡cos 2θ 12Δm312+sin 2θ 12Δm 32 2, i.e. “the νe weighted average of Δm 31 2 and Δm 32 2,” is superior to all other definitions and is useful for both short baseline experiments mentioned above and for the future medium baseline experiments JUNO and RENO-50.
Authors:
 [1]
  1. Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Publication Date:
OSTI Identifier:
1244437
Report Number(s):
FERMILAB-PUB-16-020-T; arXiv:1601.07464
Journal ID: ISSN 2470-0010; 1417101; TRN: US1600754
Grant/Contract Number:
AC02-07CH11359
Type:
Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 93; Journal Issue: 5; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Research Org:
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Org:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS