تقرير
The translational $\mu$-$\tau$ reflection symmetry of Majorana neutrinos
| العنوان: | The translational $\mu$-$\tau$ reflection symmetry of Majorana neutrinos |
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| المؤلفون: | Xing, Zhi-zhong |
| سنة النشر: | 2022 |
| المجموعة: | High Energy Physics - Phenomenology |
| مصطلحات موضوعية: | High Energy Physics - Phenomenology |
| الوصف: | The present neutrino oscillation data allow $m^{}_1 = 0$ (or $m^{}_3 = 0$) for the neutrino mass spectrum and support $\theta^{}_{23} \simeq \pi/4$ and $\delta \simeq -\pi/2$ as two good approximations for the PMNS lepton flavor mixing matrix $U$. We show that these intriguing possibilities can be a very natural consequence of the {\it translational} $\mu$-$\tau$ reflection symmetry -- the effective Majorana neutrino mass term keeps invariant under the transformations $\nu^{}_{e \rm L} \to (\nu^{}_{e \rm L})^c + U^*_{e i} z^{c}_\nu$, $\nu^{}_{\mu \rm L} \to (\nu^{}_{\tau \rm L})^c + U^*_{\tau i} z^{c}_\nu$ and $\nu^{}_{\tau \rm L} \to (\nu^{}_{\mu \rm L})^c + U^*_{\mu i} z^{c}_\nu$ (for $i = 1$ or $3$), where $z^{c}_\nu$ is the charge conjugation of a constant spinor field $z^{}_\nu$. Extending such a working flavor symmetry to the canonical seesaw mechanism at a superhigh-energy scale, we calculate its soft breaking effects at the electroweak scale by using the one-loop renormalization-group equations. Comment: LaTeX 24 pages, 2 figures. More discussions and references added, matching the published version |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1142/S0217751X22502153 |
| URL الوصول: | http://arxiv.org/abs/2207.08568 |
| رقم الأكسشن: | edsarx.2207.08568 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1142/S0217751X22502153 |
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