CP symmetry and symplectic modular invariance

Ding, Gui-Jun; Feruglio, Ferruccio; Liu, Xiang-Gan

doi:10.21468/SciPostPhys.10.6.133

SciPost Physics

CP symmetry and symplectic modular invariance

Gui-Jun Ding, Ferruccio Feruglio, Xiang-Gan Liu

SciPost Phys. 10, 133 (2021) · published 7 June 2021

doi: 10.21468/SciPostPhys.10.6.133
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Abstract

We analyze CP symmetry in symplectic modular-invariant supersymmetric theories. We show that for genus $g\ge 3$ the definition of CP is unique, while two independent possibilities are allowed when $g\le 2$. We discuss the transformation properties of moduli, matter multiplets and modular forms in the Siegel upper half plane, as well as in invariant subspaces. We identify CP-conserving surfaces in the fundamental domain of moduli space. We make use of all these elements to build a CP and symplectic invariant model of lepton masses and mixing angles, where known data are well reproduced and observable phases are predicted in terms of a minimum number of parameters.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.10.6.133
TI  - CP symmetry and symplectic modular invariance
PY  - 2021/06/07
UR  - https://scipost.org/SciPostPhys.10.6.133
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 10
IS  - 6
SP  - 133
A1  - Ding, Gui-Jun
AU  - Feruglio, Ferruccio
AU  - Liu, Xiang-Gan
AB  - We analyze CP symmetry in symplectic modular-invariant supersymmetric theories. We show that for genus $g\ge 3$ the definition of CP is unique, while two independent possibilities are allowed when $g\le 2$. We discuss the transformation properties of moduli, matter multiplets and modular forms in the Siegel upper half plane, as well as in invariant subspaces. We identify CP-conserving surfaces in the fundamental domain of moduli space. We make use of all these elements to build a CP and symplectic invariant model of lepton masses and mixing angles, where known data are well reproduced and observable phases are predicted in terms of a minimum number of parameters.
ER  -

@Article{10.21468/SciPostPhys.10.6.133,
	title={{CP symmetry and symplectic modular invariance}},
	author={Gui-Jun Ding and Ferruccio Feruglio and Xiang-Gan Liu},
	journal={SciPost Phys.},
	volume={10},
	pages={133},
	year={2021},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.10.6.133},
	url={https://scipost.org/10.21468/SciPostPhys.10.6.133},
}

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Authors / Affiliations: mappings to Contributors and Organizations

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¹ ² Gui-Jun Ding,
³ ⁴ Ferruccio Feruglio,
¹ ² Xiang-Gan Liu

Funders for the research work leading to this publication

Horizon 2020 (through Organization: European Commission [EC])
Instituto Nazionale di Fisica Nucleare (INFN) (through Organization: Istituto Nazionale di Fisica Nucleare / National Institute for Nuclear Physics [INFN])
National Natural Science Foundation of China [NSFC]