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arXiv 2302.14538hep-ph
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具有双跷跷板机制的左右对称模型中的无中微子双β衰变

Neutrinoless double beta decay in Left-Right symmetric model with double seesaw mechanism

Sudhanwa Patra, S. T. Petcov, Prativa Pritimita, Purushottam Sahu

AI总结:

本文研究含双跷跷板机制的TeV尺度左右对称模型,分析重Majorana粒子交换对 $0νββ$ 衰变的非标准贡献,并表明其在多种参数下可被下一代实验探测。

摘要:

我们讨论了一种在TeV能标下具有双跷跷板机制的左右(L-R)对称模型,该机制为活跃的左手(LH)味中微子 $ν_{αL}$ 和重的右手(RH)中微子 $N_{βR}$($α,β=e,μ,τ$)产生Majorana质量,这些粒子进而介导包括无中微子双β衰变在内的轻子数破坏过程。Higgs部分由两个Higgs二重态 $H_L$、$H_R$ 和一个双二重态 $Φ$ 组成。费米子部分包含L-R对称模型中通常的夸克和轻子,以及三个 $SU(2)$ 单态费米子 $S_{γL}$。为这些惰性费米子选择裸Majorana质量项会为重的RH中微子诱导出较大的Majorana质量,从而产生两组重的Majorana粒子 $N_j$ 和 $S_k$($j,k=1,2,3$),其质量满足 $m_{N_j} \ll m_{S_k}$。我们在该模型的一个特定版本中工作,其中 $ν_{αL}-N_{βR}$ 和 $N_{βR}-S_{γL}$ Dirac质量项是对角的,并假设 $m_{N_j}\sim(1-1000)$ GeV 且 $\max(m_{S_k})\sim(1-10)$ TeV、$m_{N_j}\ll m_{S_k}$,详细研究了由虚 $N_j$ 和 $S_k$ 交换引起的对 $0νββ$ 衰变振幅和半衰期的新的“非标准”贡献。我们发现,在轻中微子质量谱的NO和IO两种情况下,这些贡献都被显著增强,并且在最轻中微子质量 $m_{1(3)}\sim(10^{-4}-10^{-2})$ eV 的相对较小数值处,相对于轻Majorana中微子交换贡献占主导地位。在参数空间的很大一部分中,该模型对 $0νββ$ 衰变的广义有效Majorana质量和半衰期的预测,处于计划中的下一代无中微子双β衰变实验LEGEND-200(LEGEND-1000)、nEXO、KamlAND-Zen-II、CUPID、NEXT-HD的灵敏度范围内。

英文摘要:

We discuss a left-right (L-R) symmetric model with the double seesaw mechanism at the TeV scale generating Majorana masses for the active left-handed (LH) flavour neutrinos $ν_{αL}$ and the heavy right-handed (RH) neutrinos $N_{βR}$, $α,β= e,μ,τ$, which in turn mediate lepton number violating processes, including neutrinoless double beta decay. The Higgs sector is composed of two Higgs doublets $H_L$, $H_R$, and a bi-doublet $Φ$. The fermion sector has the usual for the L-R symmetric models quarks and leptons, along with three $SU(2)$ singlet fermion $S_{γL}$. The choice of bare Majorana mass term for these sterile fermions induces large Majorana masses for the heavy RH neutrinos leading to two sets of heavy Majorana particles $N_j$ and $S_k$, $j,k=1,2,3$, with masses $m_{N_j} \ll m_{S_k}$. Working with a specific version of the model in which the $ν_{αL} - N_{βR}$ and the $N_{βR} - S_{γL}$ Dirac mass terms are diagonal, and assuming that $m_{N_j} \sim (1 - 1000)$ GeV and ${\rm max}(m_{S_k}) \sim (1 - 10)$ TeV, $m_{N_j} \ll m_{S_k}$, we study in detail the new ``non-standard'' contributions to the $0νββ$ decay amplitude and half-life arising due to the exchange of virtual $N_j$ and $S_k$. We find that in both cases of NO and IO light neutrino mass spectra, these contributions are strongly enhanced and are dominant at relatively small values of the lightest neutrino mass $m_{1(3)} \sim (10^{-4} - 10^{-2})$ eV over the light Majorana neutrino exchange contribution. In large part of the parameter space, the predictions of the model for the $0νββ$ decay generalised effective Majorana mass and half-life are within the sensitivity range of the planned next generation of neutrinoless double beta decay experiments LEGEND-200 (LEGEND-1000), nEXO, KamlAND-Zen-II, CUPID, NEXT-HD.

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