2014/04/30 by Yikun Wang, Zhi‐zhong Xing, Zhi-zhong Xing · 3 citations
Physics and Astronomy · #Baryogenesis #CP violation #Dark Matter and Cosmic Phenomena #Double beta decay #Leptogenesis #Lepton #Lepton number #MAJORANA #Mass matrix #Neutrino #Neutrino Physics Research #Neutrino oscillation #Nuclear physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Physics beyond the Standard Model #Pontecorvo–Maki–Nakagawa–Sakata matrix #Seesaw mechanism #Seesaw molecular geometry #Sterile neutrino #hep-ph
paper · pdf · doi:10.1103/physrevd.89.097301
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 89(9) (American Physical Society) · LaTex 8 pages. Minor changes. Accepted for publication in Phys. Rev. D
arxiv created 2014/05/25 · openalex publication_date 2014/05/29 · arxiv updated 2014/06/06 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The origin of tiny neutrino masses and the baryon number asymmetry of the Universe are naturally interpreted by the canonical seesaw and leptogenesis mechanisms, in which there are the heavy Majorana neutrino mass matrix MR, the Dirac neutrino mass matrix MD, the charged-lepton mass matrix M_\ensuremathℓ, and the effective (light) neutrino mass matrix M_\ensuremathν. We find that Im(det[MD^\ifmmode†\else\textdagger\fiMD,MR^\ifmmode†\else\textdagger\fiMR]), Im(det[M_\ensuremathℓM_\ensuremathℓ^\ifmmode†\else\textdagger\fi,M_\ensuremathνM_\ensuremathν^\ifmmode†\else\textdagger\fi]), and Im(det[M_\ensuremathℓM_\ensuremathℓ^\ifmmode†\else\textdagger\fi,MDMD^\ifmmode†\else\textdagger\fi]) can serve as a basis-independent measure of CP violation associated with lepton-number-violating decays of heavy neutrinos, flavor oscillations of light neutrinos, and lepton-flavor-violating decays of charged leptons, respectively. We first calculate these quantities with the help of a standard parametrization of the 6\ifmmode×\else\texttimes\fi6 flavor mixing matrix, then discuss their implications on both leptogenesis and CP violation at low energy scales. A comparison is also made with the weak-basis invariants of leptogenesis, as proposed by Branco et al.