Compact perturbative expressions for neutrino oscillations in matter

Denton, Peter B.; Minakata, Hisakazu; Parke, Stephen J.

doi:10.1007/JHEP06(2016)051

Title: Compact perturbative expressions for neutrino oscillations in matter

Journal Article · Wed Jun 08 00:00:00 EDT 2016 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP06(2016)051· OSTI ID:1256704

^[1]; Minakata, Hisakazu ^[2];

^[3]

Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States); Vanderbilt Univ., Nashville, TN (United States)
Univ. de Sao Paulo, Sao Paulo (Brazil); Yachay Tech Univ., San Miguel de Urcuqui (Ecuador)
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)

We further develop and extend a recent perturbative framework for neutrino oscillations in uniform matter density so that the resulting oscillation probabilities are accurate for the complete matter potential versus baseline divided by neutrino energy plane. This extension also gives the exact oscillation probabilities in vacuum for all values of baseline divided by neutrino energy. The expansion parameter used is related to the ratio of the solar to the atmospheric $$\Delta m^2$$ scales but with a unique choice of the atmospheric $$\Delta m^2$$ such that certain first-order effects are taken into account in the zeroth-order Hamiltonian. Using a mixing matrix formulation, this framework has the exceptional feature that the neutrino oscillation probability in matter has the same structure as in vacuum, to all orders in the expansion parameter. It also contains all orders in the matter potential and $$\sin\theta_{13}$$. It facilitates immediate physical interpretation of the analytic results, and makes the expressions for the neutrino oscillation probabilities extremely compact and very accurate even at zeroth order in our perturbative expansion. Furthermore, the first and second order results are also given which improve the precision by approximately two or more orders of magnitude per perturbative order.

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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:: 1256704

Report Number(s):: FERMILAB-PUB-16-126-T; YACHAY-PUB-16-01-PN; arXiv:1604.08167; 1452689

Journal Information:: Journal of High Energy Physics (Online), Vol. 2016, Issue 6; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 52 works

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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
Physics potentials with the second Hyper-Kamiokande detector in Korea Abe, K.; Abe, Ke; Ahn, S. H. Progress of Theoretical and Experimental Physics, Vol. 2018, Issue 6 https://doi.org/10.1093/ptep/pty044	journal	June 2018
Decoherence in neutrino propagation through matter, and bounds from IceCube/DeepCore Coloma, P.; Lopez-Pavon, J.; Martinez-Soler, I. The European Physical Journal C, Vol. 78, Issue 8 https://doi.org/10.1140/epjc/s10052-018-6092-6	journal	August 2018
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Sensitivities and synergies of DUNE and T2HK Ballett, Peter; King, Stephen F.; Pascoli, Silvia arXiv https://doi.org/10.48550/arxiv.1612.07275	text	January 2016
Matter Density Profile Shape Effects at DUNE Kelly, Kevin J.; Parke, Stephen J. arXiv https://doi.org/10.48550/arxiv.1802.06784	text	January 2018
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
Signatures of the genuine and matter-induced components of the CP violation asymmetry in neutrino oscillations Bernabeu, J.; Segarra, A. arXiv https://doi.org/10.48550/arxiv.1807.11879	text	January 2018
Physics with Beam Tau-Neutrino Appearance at DUNE de Gouvêa, André; Kelly, Kevin J.; Stenico, G. V. arXiv https://doi.org/10.48550/arxiv.1904.07265	text	January 2019

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