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Mimiking Wolfenstein's quark mixing scheme for neutrino flavor mixing.

机译:模仿Wolfenstein的夸克混合方案进行中微子风味混合。

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摘要

In recent years, there have been spectacular developments in determining the elements of neutrino flavor mixing via the very general phenomenon of neutrino oscillations. Of the three neutrinos nu e, numu, nutau, nu e's from the sun oscillate predominantly to numu's with a large mixing angle theta12 around 35° while the atmospheric neutrinos numu oscillate predominantly to nutau's with a large mixing angle theta23 around 45°. There is very little experimental information on the remaining mixing angle theta 13. Present data indicates that it is small, around a few degrees, and can very well be zero! The present work investigates a simple scheme of neutrino flavor mixing---a Wolfenstein's type of scheme---first developed for understanding quark flavor mixing that provides an elegant explanation to the observed phenomenon. I start with a three by three matrix for neutrino flavor mixing in which the nine matrix elements of the mixing matrix are determined in terms of just four parameters that are referred to as lambda, A, rho and eta. By relating the various mixing elements with the ones that are probed in neutrino oscillation experiments, I derive constraints on the the paramenters lambda, A, rho and eta. The present scheme serves as a useful pneumonic for carrying all the information on neutrinos flavor mixing on ones fingertips, information that is easily reproduced without having to resort to complicated tables of information on mixing angles describing neutrino flavor mixing. I hope this scheme will be useful in analyzing future data on neutrino physics.;
机译:近年来,在通过中微子振荡的非常普遍的现象确定中微子风味混合的元素方面取得了惊人的发展。在三个中微子nu,nutu中,来自太阳的nu e主要以大混合角theta12约35°振荡到numu,而大气中微子nunu主要以混合角theta23在45°附近的大振荡到nutau振荡。关于剩余混合角θ13的实验信息很少。现有数据表明,它很小,大约几度,很可能为零!本工作研究了一种中微子风味混合的简单方案-一种Wolfenstein类型的方案-最初是为了理解夸克风味混合而开发的,它为观察到的现象提供了优美的解释。我从用于中微子风味混合的三乘三矩阵开始,其中混合矩阵的九个矩阵元素是根据仅四个参数(称为lambda,A,rho和eta)确定的。通过将各种混合元素与中微子振荡实验中探查到的混合元素联系起来,我得出了对参数lambda,A,rho和eta的约束。本方案用作有用的肺炎药,用于在指尖上携带中微子风味混合的所有信息,这些信息易于再现,而不必诉诸描述中微子风味混合的混合角度信息表。我希望该方案将有助于分析未来中微子物理学的数据。

著录项

  • 作者

    Grant, David.;

  • 作者单位

    California State University, Long Beach.;

  • 授予单位 California State University, Long Beach.;
  • 学科 Physics General.;Physics Elementary Particles and High Energy.;Physics Theory.
  • 学位 M.S.
  • 年度 2009
  • 页码 75 p.
  • 总页数 75
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

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