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An Underlying Symmetry Determines all Elements of CKM and PMNS up to a Universal Constant?
  • ISSN号:0253-6102
  • 期刊名称:《理论物理通讯:英文版》
  • 时间:0
  • 分类:O572.3[理学—粒子物理与原子核物理;理学—物理]
  • 作者机构:School of Science,Tianjin University, School of Physics,Nankai University
  • 相关基金:Supported by the National Natural Science Foundation of China under Grant Nos.11375128 and 11135009
中文摘要:

Observing the CKM matrix elements written in different parametrization schemes,one can notice obvious relations among the sine-values of the CP phases in those schemes.Using the relations,we establish a few parametrizationindependent equations,by which the matrix elements of the CKM matrix can be completely fixed up to a universal parameter.If it is true,we expect that there should exist a hidden symmetry in the nature,which determines the relations.Moreover,it requires a universal parameter,naturally it would be the famous Jarlskog invariant,which is also parametrization independent.Thus the four parameters(three mixing angles and one CP phase) of the CKM matrix are not free,but determined by the symmetry and the universal parameter.As we generalize the rules to the PMNS matrix for neutrino mixing,the CP phase of the lepton sector is predicted to be within a range of 0 ~ 59° centered at39°(in the P_a parametrization) which will be tested in the future experiments.

英文摘要:

Observing the CKM matrix elements written in different parametrization schemes,one can notice obvious relations among the sine-values of the CP phases in those schemes.Using the relations,we establish a few parametrizationindependent equations,by which the matrix elements of the CKM matrix can be completely fixed up to a universal parameter.If it is true,we expect that there should exist a hidden symmetry in the nature,which determines the relations.Moreover,it requires a universal parameter,naturally it would be the famous Jarlskog invariant,which is also parametrization independent.Thus the four parameters(three mixing angles and one CP phase) of the CKM matrix are not free,but determined by the symmetry and the universal parameter.As we generalize the rules to the PMNS matrix for neutrino mixing,the CP phase of the lepton sector is predicted to be within a range of 0 ~ 59° centered at39°(in the P_a parametrization) which will be tested in the future experiments.

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期刊信息
  • 《理论物理通讯:英文版》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中科院理论物理所 中国物理学会
  • 主编:孙昌浦
  • 地址:北京2735邮政信箱 中国科学院理论物理研究所编辑部
  • 邮编:100190
  • 邮箱:ctp@itp.ac.cn
  • 电话:010-62551495 62541813 62550630
  • 国际标准刊号:ISSN:0253-6102
  • 国内统一刊号:ISSN:11-2592/O3
  • 邮发代号:
  • 获奖情况:
  • 首届国家期刊奖,中国科学院优秀期刊特别奖,国家期刊奖百种重点期刊,中国期刊方阵“双高”期刊
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  • 被引量:342