Spontaneous CP violation and horizontal symmetry in the MSSM: toward lepton flavor naturalness

Aloni, Daniel; Asadi, Pouya; Nakai, Yuichiro; Reece, Matthew; Suzuki, Motoo

doi:10.1007/jhep09(2021)031

Title: Spontaneous CP violation and horizontal symmetry in the MSSM: toward lepton flavor naturalness

Journal Article · 06 September 2021 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep09(2021)031 · OSTI ID:1851686

Aloni, Daniel ^[1];

^[2]; Nakai, Yuichiro ^[3]; Reece, Matthew ^[4]; Suzuki, Motoo ^[3]

Boston Univ., MA (United States). Dept. of Physics; Boston Univ., MA (United States)
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics
Shanghai Jiao Tong Univ. (China). Tsung-Dao Lee Institute. School of Physics and Astronomy
Harvard Univ., Cambridge, MA (United States). Dept. of Physics

We study the contributions of supersymmetric models with a U(1) horizontal symmetry and only spontaneous CP breaking to various lepton flavor observables, such as μ → eγ and the electron electric dipole moment. We show that both a horizontal symmetry and a lack of explicit CP violation can alleviate the existing bounds from such observables. The undetermined \( \mathcal{O} \)(1) coefficients in such mass matrix models muddle the interpretation of the bounds from various flavor observables. To overcome this, we define a new fine-tuning measure for different observables in such setups. This allows us to study how naturally the observed IR flavor observables can emerge from a given mass matrix model. We use our flavor-naturalness measure in study of our supersymmetric models and quantify the degree of fine tuning required by the bounds from various lepton flavor observables at each mass scale of sleptons, neutralinos, and charginos.

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Research Organization:: Boston Univ., MA (United States); Harvard Univ., Cambridge, MA (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Massachusetts Institute of Technology (MIT), Cambridge, MA (United States)

Sponsoring Organization:: Alfred P. Sloan Foundation; USDOE Office of Science (SC); USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0012567; SC0013607; SC0015845

OSTI ID:: 1851686

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 9 Vol. 2021; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CP violation
beyond standard model
physics
supersymmetric standard model

Title: Spontaneous CP violation and horizontal symmetry in the MSSM: toward lepton flavor naturalness

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