Invariant approach to CP in unbroken Δ(27)
The invariant approach is a powerful method for studying CP violation for specific Lagrangians. The method is particularly useful for dealing with discrete family symmetries. We focus on the CP properties of unbroken Δ(27) invariant Lagrangians with Yukawa-like terms, which proves to be a rich frame...
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2015-10-01
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Series: | Nuclear Physics B |
Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321315002643 |
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doaj-191f7953331042b3a84eaf22050731f22020-11-25T01:03:41ZengElsevierNuclear Physics B0550-32131873-15622015-10-01899C143610.1016/j.nuclphysb.2015.07.024Invariant approach to CP in unbroken Δ(27)Gustavo C. Branco0Ivo de Medeiros Varzielas1Stephen F. King2Centro de Física Teórica de Partículas – CFTP, Instituto Superior Técnico – IST, Universidade de Lisboa – UL, Avenida Rovisco Pais, 1049-001 Lisboa, PortugalSchool of Physics and Astronomy, University of Southampton, SO17 1BJ Southampton, United KingdomSchool of Physics and Astronomy, University of Southampton, SO17 1BJ Southampton, United KingdomThe invariant approach is a powerful method for studying CP violation for specific Lagrangians. The method is particularly useful for dealing with discrete family symmetries. We focus on the CP properties of unbroken Δ(27) invariant Lagrangians with Yukawa-like terms, which proves to be a rich framework, with distinct aspects of CP, making it an ideal group to investigate with the invariant approach. We classify Lagrangians depending on the number of fields transforming as irreducible triplet representations of Δ(27). For each case, we construct CP-odd weak basis invariants and use them to discuss the respective CP properties. We find that CP violation is sensitive to the number and type of Δ(27) representations.http://www.sciencedirect.com/science/article/pii/S0550321315002643 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Gustavo C. Branco Ivo de Medeiros Varzielas Stephen F. King |
spellingShingle |
Gustavo C. Branco Ivo de Medeiros Varzielas Stephen F. King Invariant approach to CP in unbroken Δ(27) Nuclear Physics B |
author_facet |
Gustavo C. Branco Ivo de Medeiros Varzielas Stephen F. King |
author_sort |
Gustavo C. Branco |
title |
Invariant approach to CP in unbroken Δ(27) |
title_short |
Invariant approach to CP in unbroken Δ(27) |
title_full |
Invariant approach to CP in unbroken Δ(27) |
title_fullStr |
Invariant approach to CP in unbroken Δ(27) |
title_full_unstemmed |
Invariant approach to CP in unbroken Δ(27) |
title_sort |
invariant approach to cp in unbroken δ(27) |
publisher |
Elsevier |
series |
Nuclear Physics B |
issn |
0550-3213 1873-1562 |
publishDate |
2015-10-01 |
description |
The invariant approach is a powerful method for studying CP violation for specific Lagrangians. The method is particularly useful for dealing with discrete family symmetries. We focus on the CP properties of unbroken Δ(27) invariant Lagrangians with Yukawa-like terms, which proves to be a rich framework, with distinct aspects of CP, making it an ideal group to investigate with the invariant approach. We classify Lagrangians depending on the number of fields transforming as irreducible triplet representations of Δ(27). For each case, we construct CP-odd weak basis invariants and use them to discuss the respective CP properties. We find that CP violation is sensitive to the number and type of Δ(27) representations. |
url |
http://www.sciencedirect.com/science/article/pii/S0550321315002643 |
work_keys_str_mv |
AT gustavocbranco invariantapproachtocpinunbrokend27 AT ivodemedeirosvarzielas invariantapproachtocpinunbrokend27 AT stephenfking invariantapproachtocpinunbrokend27 |
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1725199950334132224 |