Computation of quark masses from string theory
We present a numerical computation, based on neural network techniques, of the physical Yukawa couplings in a heterotic string theory compactification on a smooth Calabi-Yau threefold with non-standard embedding. The model belongs to a large class of heterotic line bundle models that have previously...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-01-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321324003444 |
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| _version_ | 1841550715734982656 |
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| author | Andrei Constantin Cristofero S. Fraser-Taliente Thomas R. Harvey Andre Lukas Burt Ovrut |
| author_facet | Andrei Constantin Cristofero S. Fraser-Taliente Thomas R. Harvey Andre Lukas Burt Ovrut |
| author_sort | Andrei Constantin |
| collection | DOAJ |
| description | We present a numerical computation, based on neural network techniques, of the physical Yukawa couplings in a heterotic string theory compactification on a smooth Calabi-Yau threefold with non-standard embedding. The model belongs to a large class of heterotic line bundle models that have previously been identified and whose low-energy spectrum precisely matches that of the MSSM plus fields uncharged under the Standard Model group. The relevant quantities for the calculation, that is, the Ricci-flat Calabi-Yau metric, the Hermitian Yang-Mills bundle metrics and the harmonic bundle-valued forms, are all computed by training suitable neural networks. For illustration, we consider a one-parameter family in complex structure moduli space. The computation at each point along this locus takes about half a day on a single twelve-core CPU. Our results for the Yukawa couplings are estimated to be within 10% of the expected analytic result. We find that the effect of the matter field normalisation can be significant and can contribute towards generating hierarchical couplings. We also demonstrate that a zeroth order, semi-analytic calculation, based on the Fubini-Study metric and its counterparts for the bundle metric and the bundle-valued forms, leads to roughly correct results, about 25% away from the numerical ones. The method can be applied to other heterotic line bundle models and generalised to other constructions, including to F-theory models. |
| format | Article |
| id | doaj-art-c8d9ff41e0524019abcf17791b6b2898 |
| institution | Kabale University |
| issn | 0550-3213 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj-art-c8d9ff41e0524019abcf17791b6b28982025-01-10T04:37:52ZengElsevierNuclear Physics B0550-32132025-01-011010116778Computation of quark masses from string theoryAndrei Constantin0Cristofero S. Fraser-Taliente1Thomas R. Harvey2Andre Lukas3Burt Ovrut4Rudolf Peierls Centre for Theoretical Physics, University of Oxford, Parks Road Oxford, OX1 3PU, UKRudolf Peierls Centre for Theoretical Physics, University of Oxford, Parks Road Oxford, OX1 3PU, UK; Corresponding author.Rudolf Peierls Centre for Theoretical Physics, University of Oxford, Parks Road Oxford, OX1 3PU, UKRudolf Peierls Centre for Theoretical Physics, University of Oxford, Parks Road Oxford, OX1 3PU, UKDepartment of Physics, University of Pennsylvania, Philadelphia, PA 19104, USAWe present a numerical computation, based on neural network techniques, of the physical Yukawa couplings in a heterotic string theory compactification on a smooth Calabi-Yau threefold with non-standard embedding. The model belongs to a large class of heterotic line bundle models that have previously been identified and whose low-energy spectrum precisely matches that of the MSSM plus fields uncharged under the Standard Model group. The relevant quantities for the calculation, that is, the Ricci-flat Calabi-Yau metric, the Hermitian Yang-Mills bundle metrics and the harmonic bundle-valued forms, are all computed by training suitable neural networks. For illustration, we consider a one-parameter family in complex structure moduli space. The computation at each point along this locus takes about half a day on a single twelve-core CPU. Our results for the Yukawa couplings are estimated to be within 10% of the expected analytic result. We find that the effect of the matter field normalisation can be significant and can contribute towards generating hierarchical couplings. We also demonstrate that a zeroth order, semi-analytic calculation, based on the Fubini-Study metric and its counterparts for the bundle metric and the bundle-valued forms, leads to roughly correct results, about 25% away from the numerical ones. The method can be applied to other heterotic line bundle models and generalised to other constructions, including to F-theory models.http://www.sciencedirect.com/science/article/pii/S0550321324003444 |
| spellingShingle | Andrei Constantin Cristofero S. Fraser-Taliente Thomas R. Harvey Andre Lukas Burt Ovrut Computation of quark masses from string theory Nuclear Physics B |
| title | Computation of quark masses from string theory |
| title_full | Computation of quark masses from string theory |
| title_fullStr | Computation of quark masses from string theory |
| title_full_unstemmed | Computation of quark masses from string theory |
| title_short | Computation of quark masses from string theory |
| title_sort | computation of quark masses from string theory |
| url | http://www.sciencedirect.com/science/article/pii/S0550321324003444 |
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