Beyond basis invariants
Abstract Physical observables cannot depend on the basis one chooses to describe fields. Therefore, all physically relevant properties of a model are, in principle, expressible in terms of basis-invariant combinations of the parameters. However, in many cases it becomes prohibitively difficult to es...
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2019-04-01
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Series: | European Physical Journal C: Particles and Fields |
Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-019-6845-x |
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doaj-6a28c68faee04a018ada6bb9cc9a993c2020-11-25T02:10:46ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522019-04-0179411010.1140/epjc/s10052-019-6845-xBeyond basis invariantsIgor P. Ivanov0Celso C. Nishi1Andreas Trautner2CFTP, Instituto Superior Técnico, Universidade de LisboaCentro de Matemática, Computação e Cognição, Universidade Federal do ABC-UFABCMax-Planck-Institut für KernphysikAbstract Physical observables cannot depend on the basis one chooses to describe fields. Therefore, all physically relevant properties of a model are, in principle, expressible in terms of basis-invariant combinations of the parameters. However, in many cases it becomes prohibitively difficult to establish key physical features exclusively in terms of basis invariants. Here, we advocate an alternative route in such cases: the formulation of basis-invariant statements in terms of basis-covariant objects. We review several examples where the basis-covariant path is superior to the traditional approach in terms of basis invariants. In particular, this includes the formulation of necessary and sufficient basis-invariant conditions for various physically distinct forms of $$\textit{CP}$$ CP conservation in two- and three-Higgs-doublet models.http://link.springer.com/article/10.1140/epjc/s10052-019-6845-x |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Igor P. Ivanov Celso C. Nishi Andreas Trautner |
spellingShingle |
Igor P. Ivanov Celso C. Nishi Andreas Trautner Beyond basis invariants European Physical Journal C: Particles and Fields |
author_facet |
Igor P. Ivanov Celso C. Nishi Andreas Trautner |
author_sort |
Igor P. Ivanov |
title |
Beyond basis invariants |
title_short |
Beyond basis invariants |
title_full |
Beyond basis invariants |
title_fullStr |
Beyond basis invariants |
title_full_unstemmed |
Beyond basis invariants |
title_sort |
beyond basis invariants |
publisher |
SpringerOpen |
series |
European Physical Journal C: Particles and Fields |
issn |
1434-6044 1434-6052 |
publishDate |
2019-04-01 |
description |
Abstract Physical observables cannot depend on the basis one chooses to describe fields. Therefore, all physically relevant properties of a model are, in principle, expressible in terms of basis-invariant combinations of the parameters. However, in many cases it becomes prohibitively difficult to establish key physical features exclusively in terms of basis invariants. Here, we advocate an alternative route in such cases: the formulation of basis-invariant statements in terms of basis-covariant objects. We review several examples where the basis-covariant path is superior to the traditional approach in terms of basis invariants. In particular, this includes the formulation of necessary and sufficient basis-invariant conditions for various physically distinct forms of $$\textit{CP}$$ CP conservation in two- and three-Higgs-doublet models. |
url |
http://link.springer.com/article/10.1140/epjc/s10052-019-6845-x |
work_keys_str_mv |
AT igorpivanov beyondbasisinvariants AT celsocnishi beyondbasisinvariants AT andreastrautner beyondbasisinvariants |
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1724917612761055232 |