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Pran Nath

2012

Effective Lagrangian

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Full-Text Articles in Physical Sciences and Mathematics

U(1) Problem: Current Algebra And The Θ Vacuum, Pran Nath, R. Arnowitt Apr 2012

U(1) Problem: Current Algebra And The Θ Vacuum, Pran Nath, R. Arnowitt

Pran Nath

The effective Lagrangian which gives a full solution of the U(1) problem is obtained from the 1/N expansion of quantum chromodynamics. This Lagrangian satisfies all the anomalous n-point Ward identities for arbitrary q2, and includes chiral and SU(3) breaking. The relationship between the η′ mass and the θ dependence of the vacuum energy in the absence of quarks and the form of the strong CP violation in the effective-Lagrangian framework are deduced.


Cp Violation Via Electroweak Guaginos And The Electric Dipole Moment Of The Electron, Pran Nath Apr 2012

Cp Violation Via Electroweak Guaginos And The Electric Dipole Moment Of The Electron, Pran Nath

Pran Nath

The effective Lagrangian which exhibits explicitly the transmission of the CP-violating phases induced via the electroweak gaugino masses below the scale of the spontaneous breaking of SU(2)L×Uy(1) electroweak gauge symmetry is deduced. The formalism is used to compute the one-loop electric dipole moment of the electron including the full set of neutralino states. Contributions of neutralinos other than the photino are found to be significant. It is shown that the current data excludes maximal CP violation in the electroweak sector except for selectron masses ≳200 GeV and photino masses ≳750 GeV