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Title: The effective chiral Lagrangian from dimension-six parity and time-reversal violation

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. -- Highlights: •Classification of T-odd dimension-six sources based on impact on observables. •Building of the chiral Lagrangian for each dimension-six source. •Calculation of the PT-odd pion–nucleon form factor for each source. •Discussion of hadronic EDMs for each source and comparison with the theta term.

Authors:
 [1];  [2];  [3];  [1];  [4];  [5]
  1. KVI, Theory Group, University of Groningen, 9747 AA Groningen (Netherlands)
  2. (Netherlands)
  3. Ernest Orlando Lawrence Berkeley National Laboratory, University of California, Berkeley, CA 94720 (United States)
  4. Institut de Physique Nucléaire, Université Paris Sud, CNRS/IN2P3, 91406 Orsay (France)
  5. (United States)
Publication Date:
OSTI Identifier:
22224227
Resource Type:
Journal Article
Resource Relation:
Journal Name: Annals of Physics (New York); Journal Volume: 338; Other Information: Copyright (c) 2013 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CHIRALITY; CP INVARIANCE; ELECTRIC DIPOLE MOMENTS; ELECTROMAGNETIC INTERACTIONS; FIELD THEORIES; FORM FACTORS; GLUONS; LAGRANGIAN FUNCTION; LIGHT NUCLEI; NUCLEONS; PARITY; QUARKS

Citation Formats

Vries, J. de, E-mail: devries.jordy@gmail.com, Nikhef, Science Park 105, 1098 XG Amsterdam, Mereghetti, E., Timmermans, R.G.E., Kolck, U. van, and Department of Physics, University of Arizona, Tucson, AZ 85721. The effective chiral Lagrangian from dimension-six parity and time-reversal violation. United States: N. p., 2013. Web. doi:10.1016/J.AOP.2013.05.022.
Vries, J. de, E-mail: devries.jordy@gmail.com, Nikhef, Science Park 105, 1098 XG Amsterdam, Mereghetti, E., Timmermans, R.G.E., Kolck, U. van, & Department of Physics, University of Arizona, Tucson, AZ 85721. The effective chiral Lagrangian from dimension-six parity and time-reversal violation. United States. doi:10.1016/J.AOP.2013.05.022.
Vries, J. de, E-mail: devries.jordy@gmail.com, Nikhef, Science Park 105, 1098 XG Amsterdam, Mereghetti, E., Timmermans, R.G.E., Kolck, U. van, and Department of Physics, University of Arizona, Tucson, AZ 85721. Fri . "The effective chiral Lagrangian from dimension-six parity and time-reversal violation". United States. doi:10.1016/J.AOP.2013.05.022.
@article{osti_22224227,
title = {The effective chiral Lagrangian from dimension-six parity and time-reversal violation},
author = {Vries, J. de, E-mail: devries.jordy@gmail.com and Nikhef, Science Park 105, 1098 XG Amsterdam and Mereghetti, E. and Timmermans, R.G.E. and Kolck, U. van and Department of Physics, University of Arizona, Tucson, AZ 85721},
abstractNote = {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. -- Highlights: •Classification of T-odd dimension-six sources based on impact on observables. •Building of the chiral Lagrangian for each dimension-six source. •Calculation of the PT-odd pion–nucleon form factor for each source. •Discussion of hadronic EDMs for each source and comparison with the theta term.},
doi = {10.1016/J.AOP.2013.05.022},
journal = {Annals of Physics (New York)},
number = ,
volume = 338,
place = {United States},
year = {Fri Nov 15 00:00:00 EST 2013},
month = {Fri Nov 15 00:00:00 EST 2013}
}
  • Using effective Lagrangians, we argue that any time-reversal-violating but parity-conserving effects are too small to be observed in flavor-conserving nuclear processes without dramatic improvement in experimental accuracy. In the process we discuss other arguments that have appeared in the literature. {copyright} {ital 1996 The American Physical Society.}
  • Here, we analyze neutrinoless double beta decay (0νββ) within the framework of the Standard Model Effective Field Theory. Apart from the dimension-five Weinberg operator, the first contributions appear at dimension seven. We classify the operators and evolve them to the electroweak scale, where we match them to effective dimension-six, -seven, and -nine operators. In the next step, after renormalization group evolution to the QCD scale, we construct the chiral Lagrangian arising from these operators. We then develop a power-counting scheme and derive the two-nucleon 0νββ currents up to leading order in the power counting for each lepton-number-violating operator. We arguemore » that the leading-order contribution to the decay rate depends on a relatively small number of nuclear matrix elements. We test our power counting by comparing nuclear matrix elements obtained by various methods and by different groups. We find that the power counting works well for nuclear matrix elements calculated from a specific method, while, as in the case of light Majorana neutrino exchange, the overall magnitude of the matrix elements can differ by factors of two to three between methods. We also calculate the constraints that can be set on dimension-seven lepton-number-violating operators from 0νββ experiments and study the interplay between dimension-five and -seven operators, discussing how dimension-seven contributions affect the interpretation of 0νββ in terms of the effective Majorana mass m ββ .« less
  • The parity and time-reversal symmetries can be studied in neutron-nucleus interactions. Parity non-conserving asymmetries have been observed for many p-wave resonances in a compound nucleus and measurements were performed on several nuclei in the mass region of A{similar_to}100 and A{similar_to}230. The statistical model of the compound nucleus provides a theoretical basis for extracting mean-squared matrix elements from the experimental asymmetry data, and for interpreting the mean-squared matrix elements. The constraints on the weak meson-exchange couplings calculated from the compound-nucleus asymmetry data agree qualitatively with the results from few-body and light-nuclei experiments. The tests of time-reversal invariance in various experiments usingmore » thermal, epithermal, and MeV neutrons are being developed.« less
  • Parity-even time reversal violation (TRV) in the nucleon-nucleon interaction is reconsidered. The TRV {rho}-exchange interaction on which recent analyses of measurements are based is necessarily also charge symmetry breaking (CSB). Limits on its strength {ovr g}{sub {rho}} relative to regular {rho} exchange are extracted from recent CSB experiments in neutron-proton scattering. The result {ovr g}{sub {rho}}{le}6.7{times}10{sup -3} (95{percent} C.L.) is considerably lower than limits inferred from direct TRV tests in nuclear processes. Properties of a{sub 1} exchange and limit imposed by the neutron electric dipole moment are briefly discussed. {copyright} {ital 1997} {ital The American Physical Society}