{"paper":{"title":"Commutators of lepton mass matrices associated with seesaw and leptogenesis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Yikun Wang, Zhi-zhong Xing","submitted_at":"2014-04-01T02:23:10Z","abstract_excerpt":"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 $M_{\\rm R}$, the Dirac neutrino mass matrix $M_{\\rm D}$, the charged-lepton mass matrix $M_\\ell$ and the effective (light) neutrino mass matrix $M_\\nu$. We find that ${\\rm Im}\\left(\\det\\left[ M^\\dagger_{\\rm D} M_{\\rm D}, M^\\dagger_{\\rm R} M_{\\rm R} \\right]\\right)$, ${\\rm Im}\\left(\\det\\left[ M_\\ell M^\\dagger_\\ell, M_\\nu M^\\dagger_\\nu \\right]\\right)$ and ${\\rm Im}\\left(\\det\\left"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.0109","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}