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Title: Theta angle versus CP violation in the leptonic sector

Abstract

Assuming that the axion mechanism of solving the strong CP problem does not exist and the vanishing of {theta} at the tree level is achieved by some model-building means, we study the naturalness of having large CP-violating sources in the leptonic sector. We consider the radiative mechanisms which transfer a possibly large CP-violating phase in the leptonic sector to the {theta} parameter. It is found that a large {theta} cannot be induced in the models with one Higgs doublet as at least three loops are required in this case. In the models with two or more Higgs doublets the dominant source of {theta} is the phases in the scalar potential, induced by CP violation in the leptonic sector. Thus, in the minimal supersymmetric standard model framework the imaginary part of the trilinear soft-breaking parameter A{sub l} generates the corrections to the theta angle already at one loop. These corrections are large, excluding the possibility of large phases, unless the universality in the slepton sector is strongly violated. (c) 2000 The American Physical Society.

Authors:
 [1];  [2]
  1. Rutherford Appleton Laboratory, Chilton, Didcot, Oxon OX11 0QX, (United Kingdom)
  2. Theoretical Physics Institute, School of Physics and Astronomy, University of Minnesota, Minneapolis, Minnesota 55455 (United States)
Publication Date:
OSTI Identifier:
20216480
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 61; Journal Issue: 11; Other Information: PBD: 1 Jun 2000; Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CP INVARIANCE; UNIFIED GAUGE MODELS; SUPERSYMMETRY; AXIONS; THEORETICAL DATA

Citation Formats

Dedes, A., and Pospelov, M. Theta angle versus CP violation in the leptonic sector. United States: N. p., 2000. Web. doi:10.1103/PhysRevD.61.116010.
Dedes, A., & Pospelov, M. Theta angle versus CP violation in the leptonic sector. United States. doi:10.1103/PhysRevD.61.116010.
Dedes, A., and Pospelov, M. Thu . "Theta angle versus CP violation in the leptonic sector". United States. doi:10.1103/PhysRevD.61.116010.
@article{osti_20216480,
title = {Theta angle versus CP violation in the leptonic sector},
author = {Dedes, A. and Pospelov, M.},
abstractNote = {Assuming that the axion mechanism of solving the strong CP problem does not exist and the vanishing of {theta} at the tree level is achieved by some model-building means, we study the naturalness of having large CP-violating sources in the leptonic sector. We consider the radiative mechanisms which transfer a possibly large CP-violating phase in the leptonic sector to the {theta} parameter. It is found that a large {theta} cannot be induced in the models with one Higgs doublet as at least three loops are required in this case. In the models with two or more Higgs doublets the dominant source of {theta} is the phases in the scalar potential, induced by CP violation in the leptonic sector. Thus, in the minimal supersymmetric standard model framework the imaginary part of the trilinear soft-breaking parameter A{sub l} generates the corrections to the theta angle already at one loop. These corrections are large, excluding the possibility of large phases, unless the universality in the slepton sector is strongly violated. (c) 2000 The American Physical Society.},
doi = {10.1103/PhysRevD.61.116010},
journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 11,
volume = 61,
place = {United States},
year = {2000},
month = {6}
}