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Symmetric formulation of neutrino oscillations in matter and its intrinsic connection to renormalization-group equations
Zhou, Shun1,2
刊名Journal of physics g-nuclear and particle physics
2017-04-01
卷号44期号:4页码:11
关键词Neutrino oscillations Matter effects Series expansions
ISSN号0954-3899
DOI10.1088/1361-6471/aa5fd9
通讯作者Zhou, shun(zhoush@ihep.ac.cn)
英文摘要In this article, we point out that the effective hamiltonian for neutrino oscillations in matter is invariant under the transformation of the mixing angle theta(12).-> theta(12) - pi/2 and the exchange of first two neutrino masses m(1) <-> m(2), if the standard parametrization of lepton flavor mixing matrix is adopted. to maintain this symmetry in perturbative calculations, we present a symmetric formulation of the effective hamiltonian by introducing an.-gauge neutrino mass-squared difference delta(*) equivalent to eta delta(31) +(1 -eta) delta(32) for 0 <= eta <= 1, where delta(ji) equivalent to m(j)(2) - m(i)(2) for ji = 21, 31, 32, and show that only eta = 1 2, eta = cos(2) theta(12) or eta = sin(2)theta(12) is allowed. furthermore, we prove that eta = cos(2) theta(12) is the best choice to derive more accurate and compact neutrino oscillation probabilities, by implementing the approach of renromalizationgroup equations. the validity of this approach becomes transparent when an analogy is made between the parameter. herein and the renormalization scale mu in relativistic quantum field theories.
WOS关键词CP VIOLATION ; T-VIOLATION ; MODEL
WOS研究方向Physics
WOS类目Physics, Nuclear ; Physics, Particles & Fields
语种英语
出版者IOP PUBLISHING LTD
WOS记录号WOS:000396088500001
内容类型期刊论文
URI标识http://www.corc.org.cn/handle/1471x/2176707
专题高能物理研究所
通讯作者Zhou, Shun
作者单位1.Chinese Acad Sci, Inst High Energy Phys, Beijing 100049, Peoples R China
2.Peking Univ, Ctr High Energy Phys, Beijing 100871, Peoples R China
推荐引用方式
GB/T 7714
Zhou, Shun. Symmetric formulation of neutrino oscillations in matter and its intrinsic connection to renormalization-group equations[J]. Journal of physics g-nuclear and particle physics,2017,44(4):11.
APA Zhou, Shun.(2017).Symmetric formulation of neutrino oscillations in matter and its intrinsic connection to renormalization-group equations.Journal of physics g-nuclear and particle physics,44(4),11.
MLA Zhou, Shun."Symmetric formulation of neutrino oscillations in matter and its intrinsic connection to renormalization-group equations".Journal of physics g-nuclear and particle physics 44.4(2017):11.
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