The effective chiral Lagrangian from dimension-six parity and time-reversal violation |
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| Institution: | 1. KVI, Theory Group, University of Groningen, 9747 AA Groningen, The Netherlands;2. Nikhef, Science Park 105, 1098 XG Amsterdam, The Netherlands;3. Ernest Orlando Lawrence Berkeley National Laboratory, University of California, Berkeley, CA 94720, USA;4. Institut de Physique Nucléaire, Université Paris Sud, CNRS/IN2P3, 91406 Orsay, France;5. Department of Physics, University of Arizona, Tucson, AZ 85721, USA;1. Departamento de Física, CFM, Universidade Federal de Santa Catarina, 88040-900, Florianópolis - SC, Brazil;2. Departamento de Física e Química, Campus de Guaratinguetá, Universidade Estadual Paulista, 12516-410, Guaratinguetá - SP, Brazil |
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| Abstract: | We classify the parity- and time-reversal-violating operators involving quark and gluon fields that have effective dimension six: the quark electric dipole moment, the quark and gluon chromo-electric dipole moments, and four four-quark operators. We construct the effective chiral Lagrangian with hadronic and electromagnetic interactions that originate from them, which serves as the basis for calculations of low-energy observables. The form of the effective interactions depends on the chiral properties of these operators. We develop a power-counting scheme and calculate within this scheme, as an example, the parity- and time-reversal-violating pion–nucleon form factor. We also discuss the electric dipole moments of the nucleon and light nuclei. |
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| Keywords: | CP violation Time-reversal violation Chiral effective field theory Electric dipole moments Dimension-six operators |
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