A basis independent formulation of the connection between quark mass matrices, CP violation and experiment | Zendy

Cecilia Jarlskog | Zendy

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A basis independent formulation of the connection between quark mass matrices, CP violation and experiment

Author(s) -

Cecilia Jarlskog

Publication year - 1985

Publication title -

zeitschrift für physik c

Language(s) - English

Resource type - Journals

eISSN - 1431-5858

pISSN - 0170-9739

DOI - 10.1007/bf01565198

Subject(s) - quark , basis (linear algebra) , particle physics , cp violation , physics , measure (data warehouse) , connection (principal bundle) , strong cp problem , standard model (mathematical formulation) , mathematics , geometry , computer science , database , archaeology , gauge (firearms) , dark matter , axion , history

In the standard eletroweak model, with three families, a one-to-one correspondence between certain determinants involving quark mass matrices (m andm' for charge 2/3 and -1/3 quarks respectively) and the presence/absence of CP violation is given. In an arbitrary basis for mass matrices, the quantity Im det [mm+,m'm'+] appropriately normalized is introduced as a measure of CP violation. By this measure, CP is not maximally violated in any transition in Nature. Finally, constraints on quark mass matrices are derived from experiment. Any model of mass matrices, with the ambition to explain Nature, must satisfy these conditions.

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