arXiv:1910.11553·v2·High Energy Physics — Phenomenology

$C P$ violation in modular invariant flavor models

Tatsuo Kobayashi🇯🇵 · Yusuke Shimizu🇯🇵 · Kenta Takagi🇯🇵 · Morimitsu Tanimoto🇯🇵 · Takuya H. Tatsuishi🇯🇵 · Hikaru Uchida🇯🇵

Abstract

We study the spontaneous $C P$ violation through the stabilization of the modulus $τ$ in modular invariant flavor models. The $C P$ -invaraiant potentential has the minimum only at $Re [τ] = 0$ or 1/2. From this prediction, we study $C P$ violation in modular invariant flavor models. The physical $C P$ phase is vanishing. The important point for the $C P$ conservation is the $T$ transformation in the modular symmetry. One needs the violation of $T$ symmetry to realize the spontaneous $C P$ violation.

Comments: 19 pages, 2 figures

CP violation in modular invariant flavor models

Abstract

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$C P$ violation in modular invariant flavor models

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