Modular invariant holomorphic observables
In modular invariant models of flavor, observables must be modular invariant. The observables discussed so far in the literature are functions of the modulus τ and its conjugate, τ¯. We point out that certain combinations of observables depend only on τ, i.e. are meromorphic, and in some cases even...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2024-05-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269324001588 |
| _version_ | 1797220573695180800 |
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| author | Mu-Chun Chen Xueqi Li Xiang-Gan Liu Omar Medina Michael Ratz |
| author_facet | Mu-Chun Chen Xueqi Li Xiang-Gan Liu Omar Medina Michael Ratz |
| author_sort | Mu-Chun Chen |
| collection | DOAJ |
| description | In modular invariant models of flavor, observables must be modular invariant. The observables discussed so far in the literature are functions of the modulus τ and its conjugate, τ¯. We point out that certain combinations of observables depend only on τ, i.e. are meromorphic, and in some cases even holomorphic functions of τ. These functions, which we dub “invariants” in this Letter, are highly constrained, renormalization group invariant, and allow us to derive many of the models' features without the need for extensive parameter scans. We illustrate the robustness of these invariants in two existing models in the literature based on modular symmetries, Γ3 and Γ5. We find that, in some cases, the invariants give rise to robust relations among physical observables that are independent of τ. Furthermore, there are instances where additional symmetries exist among the invariants. These symmetries are relevant phenomenologically and may provide a dynamical way to realize symmetries of mass matrices. |
| first_indexed | 2024-04-24T12:51:42Z |
| format | Article |
| id | doaj.art-00c81ef07a074dbba41656204d89fe8f |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-04-24T12:51:42Z |
| publishDate | 2024-05-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-00c81ef07a074dbba41656204d89fe8f2024-04-06T04:39:24ZengElsevierPhysics Letters B0370-26932024-05-01852138600Modular invariant holomorphic observablesMu-Chun Chen0Xueqi Li1Xiang-Gan Liu2Omar Medina3Michael Ratz4Department of Physics and Astronomy, University of California, Irvine, CA 92697-4575, USADepartment of Physics and Astronomy, University of California, Irvine, CA 92697-4575, USADepartment of Physics and Astronomy, University of California, Irvine, CA 92697-4575, USAInstituto de Física Corpuscular (IFIC), Universidad de Valencia-CSIC, Paterna (Valencia) E-46980, SpainDepartment of Physics and Astronomy, University of California, Irvine, CA 92697-4575, USA; Corresponding author.In modular invariant models of flavor, observables must be modular invariant. The observables discussed so far in the literature are functions of the modulus τ and its conjugate, τ¯. We point out that certain combinations of observables depend only on τ, i.e. are meromorphic, and in some cases even holomorphic functions of τ. These functions, which we dub “invariants” in this Letter, are highly constrained, renormalization group invariant, and allow us to derive many of the models' features without the need for extensive parameter scans. We illustrate the robustness of these invariants in two existing models in the literature based on modular symmetries, Γ3 and Γ5. We find that, in some cases, the invariants give rise to robust relations among physical observables that are independent of τ. Furthermore, there are instances where additional symmetries exist among the invariants. These symmetries are relevant phenomenologically and may provide a dynamical way to realize symmetries of mass matrices.http://www.sciencedirect.com/science/article/pii/S0370269324001588 |
| spellingShingle | Mu-Chun Chen Xueqi Li Xiang-Gan Liu Omar Medina Michael Ratz Modular invariant holomorphic observables Physics Letters B |
| title | Modular invariant holomorphic observables |
| title_full | Modular invariant holomorphic observables |
| title_fullStr | Modular invariant holomorphic observables |
| title_full_unstemmed | Modular invariant holomorphic observables |
| title_short | Modular invariant holomorphic observables |
| title_sort | modular invariant holomorphic observables |
| url | http://www.sciencedirect.com/science/article/pii/S0370269324001588 |
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