Probing Parity Manifest Minimal Left-Right Symmetric Model through $CP$ Violation & Anomalous Magnetic Moment of Charged Leptons Constrained by Lepton Flavor Violating $l_i\to l_j\gamma$ & $l_i\to 3l_j$ Channels

Abstract

While the Standard Model remains the prevailing description of natural phenomena, several observed phenomena continue to elude its explanation. To address these challenges, we investigate the Minimal Left-Right Symmetric Model, an immediate extension of the Standard Model. This model adeptly resolves issues related to parity violation and neutrino mass smallness by incorporating the seesaw mechanism. Our investigation focuses on assessing the Parity Manifest Minimal Left-Right Symmetric Model's contributions to specific phenomena, namely the anomalous magnetic moment (AMM) and CP violation of charged leptons. First, the model's coupling parameter space is derived from the experimental bounds of charged lepton flavor-violating $l_i\to l_j\gamma$ and $l_i\to 3l_j$ channels. These bounds emanate from the extended Higgs sector of the model. Subsequently, we evaluate the one-loop contributions of the model to magnetic dipole moment (MDM) and electric dipole moment (EDM), which provide insights into the model's estimations for AMM and CP violation of charged leptons based on the experimental bounds of the aforementioned processes. The outcomes of this analysis will shed light on whether the Parity Manifest Minimal Left-Right Symmetric Model stands as a highly promising candidate for physics beyond the Standard Model.

Comments: 69 pages, 21 figures, typos corrected, references added, new section added, change in analysis, Comments are welcome!. arXiv admin note: text overlap with arXiv:2006.16285 by other authors without attribution