Using C++ to Calculate SO(10) Tensor Couplings

Model building in SO(10), which is the leading grand unification framework, often involves large Higgs representations and their couplings. Explicit calculations of such couplings is a multi-step process that involves laborious calculations that are time consuming and error prone, an issue which onl...

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التفاصيل البيبلوغرافية
المؤلف الرئيسي: Bhagwagar, Azadan (author)
مؤلفون آخرون: Syed, Raza (author)
التنسيق: article
منشور في: 2021
الموضوعات:
الوصول للمادة أونلاين:http://hdl.handle.net/11073/21560
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author Bhagwagar, Azadan
author2 Syed, Raza
author2_role author
author_facet Bhagwagar, Azadan
Syed, Raza
author_role author
dc.creator.none.fl_str_mv Bhagwagar, Azadan
Syed, Raza
dc.date.none.fl_str_mv 2021-10-04T13:07:11Z
2021-10-04T13:07:11Z
2021-10-04
dc.format.none.fl_str_mv application/pdf
dc.identifier.none.fl_str_mv Bhagwagar, A. & Syed, R. (2021). Using C++ to calculate SO(10) tensor couplings. Symmetry, 13, 1871. doi: 10.3390/sym13101871
2073-8994
http://hdl.handle.net/11073/21560
10.3390/sym13101871
dc.language.none.fl_str_mv en_US
dc.publisher.none.fl_str_mv MDPI
dc.relation.none.fl_str_mv https://doi.org/10.3390/sym13101871
dc.subject.none.fl_str_mv SO(10)
C++
Higgs couplings
dc.title.none.fl_str_mv Using C++ to Calculate SO(10) Tensor Couplings
dc.type.none.fl_str_mv Peer-Reviewed
Published version
info:eu-repo/semantics/publishedVersion
info:eu-repo/semantics/article
description Model building in SO(10), which is the leading grand unification framework, often involves large Higgs representations and their couplings. Explicit calculations of such couplings is a multi-step process that involves laborious calculations that are time consuming and error prone, an issue which only grows as the complexity of the coupling increases. Therefore, there exists an opportunity to leverage the abilities of computer software in order to algorithmically perform these calculations on demand. This paper outlines the details of such software, implemented in C++ using in-built libraries. The software is capable of accepting invariant couplings involving an arbitrary number of SO(10) Higgs tensors, each having up to five indices. The output is then produced in LATEX, so that it is universally readable and sufficiently expressive. Through the use of this software, SO(10) coupling analysis can be performed in a way that minimizes calculation time, eliminates errors, and allows for experimentation with couplings that have not been computed before in the literature. Furthermore, this software can be expanded in the future to account for similar Higgs–Spinor coupling analysis, or extended to include further SO(N) invariant couplings.
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identifier_str_mv Bhagwagar, A. & Syed, R. (2021). Using C++ to calculate SO(10) tensor couplings. Symmetry, 13, 1871. doi: 10.3390/sym13101871
2073-8994
10.3390/sym13101871
language_invalid_str_mv en_US
network_acronym_str aus
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oai_identifier_str oai:repository.aus.edu:11073/21560
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spelling Using C++ to Calculate SO(10) Tensor CouplingsBhagwagar, AzadanSyed, RazaSO(10)C++Higgs couplingsModel building in SO(10), which is the leading grand unification framework, often involves large Higgs representations and their couplings. Explicit calculations of such couplings is a multi-step process that involves laborious calculations that are time consuming and error prone, an issue which only grows as the complexity of the coupling increases. Therefore, there exists an opportunity to leverage the abilities of computer software in order to algorithmically perform these calculations on demand. This paper outlines the details of such software, implemented in C++ using in-built libraries. The software is capable of accepting invariant couplings involving an arbitrary number of SO(10) Higgs tensors, each having up to five indices. The output is then produced in LATEX, so that it is universally readable and sufficiently expressive. Through the use of this software, SO(10) coupling analysis can be performed in a way that minimizes calculation time, eliminates errors, and allows for experimentation with couplings that have not been computed before in the literature. Furthermore, this software can be expanded in the future to account for similar Higgs–Spinor coupling analysis, or extended to include further SO(N) invariant couplings.MDPI2021-10-04T13:07:11Z2021-10-04T13:07:11Z2021-10-04Peer-ReviewedPublished versioninfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfBhagwagar, A. & Syed, R. (2021). Using C++ to calculate SO(10) tensor couplings. Symmetry, 13, 1871. doi: 10.3390/sym131018712073-8994http://hdl.handle.net/11073/2156010.3390/sym13101871en_UShttps://doi.org/10.3390/sym13101871oai:repository.aus.edu:11073/215602024-08-22T12:07:14Z
spellingShingle Using C++ to Calculate SO(10) Tensor Couplings
Bhagwagar, Azadan
SO(10)
C++
Higgs couplings
status_str publishedVersion
title Using C++ to Calculate SO(10) Tensor Couplings
title_full Using C++ to Calculate SO(10) Tensor Couplings
title_fullStr Using C++ to Calculate SO(10) Tensor Couplings
title_full_unstemmed Using C++ to Calculate SO(10) Tensor Couplings
title_short Using C++ to Calculate SO(10) Tensor Couplings
title_sort Using C++ to Calculate SO(10) Tensor Couplings
topic SO(10)
C++
Higgs couplings
url http://hdl.handle.net/11073/21560