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

Abstract

Here, the current short baseline reactor experiments, Daya Bay and RENO (Double Chooz) have measured (or are capable of measuring) an effective Δm2 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 Δm2 and argue that the simple, L/E independent definition given by Δmee2≡cos2θ12Δm312+sin2θ12Δm322, i.e. “the νe weighted average of Δm312 and Δm322,” 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:
Research Org.:
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1244437
Alternate Identifier(s):
OSTI ID: 1242582
Report Number(s):
FERMILAB-PUB-16-020-T; arXiv:1601.07464
Journal ID: ISSN 2470-0010; 1417101; TRN: US1600754
Grant/Contract Number:  
AC02-07CH11359
Resource 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)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Parke, Stephen. What is $\Delta m^2_{ee}$ ?. United States: N. p., 2016. Web. doi:10.1103/PhysRevD.93.053008.
Parke, Stephen. What is $\Delta m^2_{ee}$ ?. United States. doi:10.1103/PhysRevD.93.053008.
Parke, Stephen. Wed . "What is $\Delta m^2_{ee}$ ?". United States. doi:10.1103/PhysRevD.93.053008. https://www.osti.gov/servlets/purl/1244437.
@article{osti_1244437,
title = {What is $\Delta m^2_{ee}$ ?},
author = {Parke, Stephen},
abstractNote = {Here, the current short baseline reactor experiments, Daya Bay and RENO (Double Chooz) have measured (or are capable of measuring) an effective Δm2 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 Δm2 and argue that the simple, L/E independent definition given by Δmee2≡cos2θ12Δm312+sin2θ12Δm322, i.e. “the νe weighted average of Δm312 and Δm322,” 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.},
doi = {10.1103/PhysRevD.93.053008},
journal = {Physical Review D},
number = 5,
volume = 93,
place = {United States},
year = {2016},
month = {3}
}

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Cited by: 5 works
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Works referenced in this record:

Observation of Electron-Antineutrino Disappearance at Daya Bay
journal, April 2012


Observation of Reactor Electron Antineutrinos Disappearance in the RENO Experiment
journal, May 2012


Reactor ν ¯ e disappearance in the Double Chooz experiment
journal, September 2012


Spectral Measurement of Electron Antineutrino Oscillation Amplitude and Frequency at Daya Bay
journal, February 2014


New Measurement of Antineutrino Oscillation with the Full Detector Configuration at Daya Bay
journal, September 2015


Another possible way to determine the neutrino mass hierarchy
journal, July 2005

  • Nunokawa, Hiroshi; Parke, Stephen; Funchal, Renata Zukanovich
  • Physical Review D, Vol. 72, Issue 1
  • DOI: 10.1103/PhysRevD.72.013009

Determining neutrino mass hierarchy by precision measurements in electron and muon neutrino disappearance experiments
journal, September 2006


Determination of the neutrino mass hierarchy via the phase of the disappearance oscillation probability with a monochromatic ν ¯ e source
journal, September 2007


Neutrino physics with JUNO
journal, February 2016


Simple and compact expressions for neutrino oscillation probabilities in matter
journal, January 2016

  • Minakata, Hisakazu; Parke, Stephen J.
  • Journal of High Energy Physics, Vol. 2016, Issue 1
  • DOI: 10.1007/JHEP01(2016)180

    Works referencing / citing this record:

    Addendum to “Compact perturbative expressions for neutrino oscillations in matter”
    journal, June 2018

    • Denton, Peter B.; Parke, Stephen J.
    • Journal of High Energy Physics, Vol. 2018, Issue 6
    • DOI: 10.1007/jhep06(2018)109

    Addendum to “Compact perturbative expressions for neutrino oscillations in matter”
    journal, June 2018

    • Denton, Peter B.; Parke, Stephen J.
    • Journal of High Energy Physics, Vol. 2018, Issue 6
    • DOI: 10.1007/jhep06(2018)109

    Analytical solutions to renormalization-group equations of effective neutrino masses and mixing parameters in matter
    journal, May 2019


    Simple and precise factorization of the Jarlskog invariant for neutrino oscillations in matter
    journal, September 2019


    Rotations versus perturbative expansions for calculating neutrino oscillation probabilities in matter
    journal, August 2018


    Neutrino Oscillations and Non-standard Interactions
    journal, February 2018