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arXiv · 2207.14014

Generalized Matter Parities from Finite Modular Symmetries

Tatsuo Kobayashi·Satsuki Nishimura·Hajime Otsuka·Morimitsu Tanimoto·Kei Yamamoto
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Abstract

We classify a supersymmetric extension of the Standard Model by discrete symmetries originating from finite modular symmetries $\Gamma_N$. Since all the couplings in supersymmetric theories of finite modular symmetries $\Gamma_N$ are described by holomorphic modular forms with even modular weights, renormalizable and non-renormalizable operators such as baryon- and/or lepton-number violating operators are severely constrained. From the modular transformation of matter multiplets with modular weight $1/M$, we find $\mathbb{Z}_{2M}$ symmetries, including the generalized baryon and lepton parities, $R$-parity, $\mathbb{Z}_3$ baryon triality and $\mathbb{Z}_6$ proton hexality. Such $\mathbb{Z}_{2M}$ symmetries are enlarged to $\mathbb{Z}_{2M} \rtimes \mathbb{Z}_2^{\text{CP}}$ symmetries together with the CP transformation.

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Tatsuo Kobayashi, Satsuki Nishimura, Hajime Otsuka, Morimitsu Tanimoto, Kei Yamamoto. 2022-07-28. Generalized Matter Parities from Finite Modular Symmetries. https://doi.org/10.1093/ptep/ptad041

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