Higher Flavor Symmetries in the Standard Model

Journal Article · 09 June 2023 · Annalen der Physik (Leipzig)

DOI: https://doi.org/10.1002/andp.202300031 · OSTI ID:1984545

Córdova, Clay  ^[1]; Koren, Seth  ^[2]

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1. Kadanoff Center for Theoretical Physics University of Chicago 933 E 56th St Chicago Illinois 60637 United States, Enrico Fermi Institute University of Chicago 933 East 56th Street Chicago Illinois 60637 United States
2. Enrico Fermi Institute University of Chicago 933 East 56th Street Chicago Illinois 60637 United States

Abstract A study of the generalized global flavor symmetries of the Standard Model is initiated. The presence of nonzero triangle diagrams between the U (3) ⁵ flavor currents and the hypercharge current intertwines them in the form of a higher‐group which mixes the zero‐form flavor symmetries with the one‐form magnetic hypercharge symmetry. This higher symmetry structure greatly restricts the possible flavor symmetries that may remain unbroken in any ultraviolet completion that includes magnetic monopoles. In the context of unification, this implies tight constraints on the combinations of fermion species which may be joined into multiplets. Three of four elementary possibilities are reflected in the classic unification models of Georgi–Glashow, , and Pati–Salam. The final pattern is realized non‐trivially in trinification, which exhibits the sense in which Standard Model Yukawa couplings which violate these flavor symmetries may be thought of as spurions of the higher‐group. Such modifications of the ultraviolet flavor symmetries are possible only if new vector‐like matter is introduced with masses suppressed from the unification scale by the Yukawa couplings.

• Sponsoring Organization: USDOE
• Grant/Contract Number: SC0009924
• OSTI ID: 1984545
• Journal Information: Annalen der Physik (Leipzig), Journal Name: Annalen der Physik (Leipzig) Journal Issue: 8 Vol. 535; ISSN 0003-3804
• Publisher: Wiley Blackwell (John Wiley & Sons)Copyright Statement
• Country of Publication: Germany
• Language: English