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

Parke, Stephen

doi:10.1103/PhysRevD.93.053008

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

Journal Article · Wed Mar 09 00:00:00 EST 2016 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.93.053008· OSTI ID:1244437

Parke, Stephen ^[1]

Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)

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 Δ_mee²≡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.

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Research Organization:: Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: AC02-07CH11359

OSTI ID:: 1244437

Alternate ID(s):: OSTI ID: 1242582

Report Number(s):: FERMILAB-PUB-16-020-T; arXiv:1601.07464; 1417101; TRN: US1600754

Journal Information:: Physical Review D, Vol. 93, Issue 5; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 25 works

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References (15)

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Observation of Reactor Electron Antineutrinos Disappearance in the RENO Experiment Ahn, J. K.; Chebotaryov, S.; Choi, J. H. Physical Review Letters, Vol. 108, Issue 19 https://doi.org/10.1103/PhysRevLett.108.191802	journal	May 2012
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New Measurement of Antineutrino Oscillation with the Full Detector Configuration at Daya Bay An, F. P.; Balantekin, A. B.; Band, H. R. Physical Review Letters, Vol. 115, Issue 11 https://doi.org/10.1103/PhysRevLett.115.111802	journal	September 2015
Another possible way to determine the neutrino mass hierarchy Nunokawa, Hiroshi; Parke, Stephen; Funchal, Renata Zukanovich Physical Review D, Vol. 72, Issue 1 https://doi.org/10.1103/PhysRevD.72.013009	journal	July 2005
Determining neutrino mass hierarchy by precision measurements in electron and muon neutrino disappearance experiments Minakata, H.; Nunokawa, H.; Parke, S. J. Physical Review D, Vol. 74, Issue 5 https://doi.org/10.1103/PhysRevD.74.053008	journal	September 2006
Determination of the neutrino mass hierarchy via the phase of the disappearance oscillation probability with a monochromatic ${\bar{ν}}_{e}$ source Minakata, H.; Nunokawa, H.; Parke, S. J. Physical Review D, Vol. 76, Issue 5 https://doi.org/10.1103/PhysRevD.76.053004	journal	September 2007
Publisher’s Note: Determination of the neutrino mass hierarchy via the phase of the disappearance oscillation probability with a monochromatic ${\bar{ν}}_{e}$ source [Phys. Rev. D 76 , 053004 (2007)] Minakata, H.; Nunokawa, H.; Parke, S. J. Physical Review D, Vol. 76, Issue 7 https://doi.org/10.1103/PhysRevD.76.079901	journal	October 2007
Neutrino physics with JUNO An, Fengpeng; An, Guangpeng; An, Qi Journal of Physics G: Nuclear and Particle Physics, Vol. 43, Issue 3 https://doi.org/10.1088/0954-3899/43/3/030401	journal	February 2016
Simple and compact expressions for neutrino oscillation probabilities in matter Minakata, Hisakazu; Parke, Stephen J. Journal of High Energy Physics, Vol. 2016, Issue 1 https://doi.org/10.1007/JHEP01(2016)180	journal	January 2016
Observation of Reactor Electron Antineutrino Disappearance in the RENO Experiment Kim, Soo-Bong arXiv https://doi.org/10.48550/arxiv.1204.0626	text	January 2012
A new measurement of antineutrino oscillation with the full detector configuration at Daya Bay Collaboration, Daya Bay; An, F. P.; Balantekin, A. B. arXiv https://doi.org/10.48550/arxiv.1505.03456	text	January 2015
Neutrino Physics with JUNO An, Fengpeng; An, Guangpeng; An, Qi arXiv https://doi.org/10.48550/arxiv.1507.05613	text	January 2015
Another possible way to determine the Neutrino Mass Hierarchy Nunokawa, Hiroshi; Parke, Stephen; Funchal, Renata Zukanovich arXiv https://doi.org/10.48550/arxiv.hep-ph/0503283	text	January 2005

Cited By (7)

Symmetric formulation of neutrino oscillations in matter and its intrinsic connection to renormalization-group equations Zhou, Shun Journal of Physics G: Nuclear and Particle Physics, Vol. 44, Issue 4 https://doi.org/10.1088/1361-6471/aa5fd9	journal	March 2017
Constraint on the solar $Δ m^{2}$ using 4000 days of short baseline reactor neutrino data Hernandez Cabezudo, Alvaro; Parke, Stephen J.; Seo, Seon-Hee Physical Review D, Vol. 100, Issue 11 https://doi.org/10.1103/physrevd.100.113008	journal	December 2019
Neutrino Oscillation Analysis of 217 Live Days of Daya Bay and 500 Live Days of RENO Acero, Mario A.; Aguilar-Arevalo, Alexis A.; Polo-Toledo, Dairo J. Advances in High Energy Physics, Vol. 2020 https://doi.org/10.1155/2020/8526034	journal	January 2020
Neutrino Oscillations and Non-standard Interactions Farzan, Yasaman; Tórtola, Mariam Frontiers in Physics, Vol. 6 https://doi.org/10.3389/fphy.2018.00010	journal	February 2018
Neutrino oscillations and Non-Standard Interactions Farzan, Y.; Tortola, M. arXiv https://doi.org/10.48550/arxiv.1710.09360	preprint	January 2017
Rotations Versus Perturbative Expansions for Calculating Neutrino Oscillation Probabilities in Matter Denton, Peter B.; Parke, Stephen J.; Zhang, Xining arXiv https://doi.org/10.48550/arxiv.1806.01277	text	January 2018
Neutrino oscillation analysis of 217 live-days of Daya Bay and 500 live-days of RENO Acero, Mario A.; Aguilar-Arevalo, Alexis A.; Polo-Toledo, Dairo J. arXiv https://doi.org/10.48550/arxiv.1909.07599	text	January 2019

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