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arXiv 2008.05467hep-phhep-ex
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左右对称模型中轻子数破坏和守恒介子衰变的干涉效应

Interference effect in lepton number violating and conserving meson decays for a left-right symmetric model

Rohini M. Godbole, Siddharth P. Maharathy, Sanjoy Mandal, Manimala Mitra, Nita Sinha

备注：
40 pages, 12 figures
发表信息：
Phys.Rev.D 104 (2021) 9, 095009
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摘要：

本文研究了TeV尺度的左-右对称模型~（LRSM）中简并或近简并右手~（RH）中微子的~（LNV）轻子数破坏和~（LNC）轻子数守恒三体介子衰变$M_1^{+}\to l_i^{+} l_j^{\pm}π^{\mp}$的干涉效应。LRSM包含三个RH中微子和一个RH规范玻色子。质量在$M_N \sim$（MeV -几GeV）范围内的RH中微子能使半轻子LNV和LNC介子衰变产生共振增强。在只有一个RH中微子参与衰变的情况下，半轻子LNV和LNC介子衰变的新物理分支比$M_1^{+}\to l_i^{+} l_j^{+}π^{-}$和$M_1^{+}\to l_i^{+} l_j^{-}π^{+}$相等.我们发现，至少有两个RH中微子的过程中作出贡献，LNV和LNC衰变率可以不同。根据中微子混合角和$CP$违反相的不同，重中微子介导的LNV和LNC衰变通道的分支比可以增强或抑制，并且这两个速率的比率可以不同于1。

英文摘要：

We study the effect of interference on the lepton number violating~(LNV) and lepton number conserving~(LNC) three-body meson decays $M_1^{+}\to l_i^{+} l_j^{\pm}π^{\mp}$, that arise in a TeV scale Left Right Symmetric model~(LRSM) with degenerate or nearly degenerate right handed~(RH) neutrinos. LRSM contains three RH neutrinos and a RH gauge boson. The RH neutrinos with masses in the range of $M_N \sim$ (MeV - few GeV) can give resonant enhancement in the semi-leptonic LNV and LNC meson decays. In the case, where only one RH neutrino contributes to these decays, the predicted new physics branching ratio of semi-leptonic LNV and LNC meson decays $M_1^{+}\to l_i^{+} l_j^{+}π^{-}$ and $M_1^{+}\to l_i^{+} l_j^{-}π^{+}$ are equal. We find that with at least two RH neutrinos contributing to the process, the LNV and LNC decay rates can differ. Depending on the neutrino mixing angles and $CP$ violating phases, the branching ratios of LNV and LNC decay channels mediated by the heavy neutrinos can be either enhanced or suppressed, and the ratio of these two rates can differ from unity.

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