Highlights
  • Searches for heavy neutrinos at a 3 TeV CLIC in fat jet final states
    Heavy Majorana neutrinos (N) are predicted in many models of physics beyond the Standard Model. In this work, we explore the production and detection prospects of TeV-scale heavy neutrinos ($ m_N \gtrsim 1 $ TeV) at a future 3 TeV Compact Linear Collider (CLIC). We focus on two distinct decay topologies: (i) $ N \to \ell^\pm W^\mp $ with hadronic W boson decay, leading to a final state with one charged lepton and a hadronic fat jet $ J_W $; and (ii) $ N \to \nu h $ with subsequent Higgs decay $ h \to b\bar{b} $, yielding a Higgs-tagged fat jet $ J_h $ and $\not{E}_T$. Based on comprehensive detector-level simulations and background analysis, we present both $ 2\sigma $ exclusion limits and $ 5\sigma $ discovery reaches in the $ m_N $–$ |V_{\ell N}|^2 $ plane. We further extract 95% confidence level upper limits on the mixing parameter $ |V_{\ell N}|^2 $ and perform a detailed comparison with existing constraints from direct searches at future colliders and indirect global fits. Our findings demonstrate that a 3 TeV CLIC can improve the sensitivity to $ |V_{\ell N}|^2 $ by about two orders of magnitude compared with the projected reaches of future hadron colliders while remaining competitive with other CLIC search channels.
  • Particle-number conserving analysis of the πd5/2 band in 117,119,121,123,125Cs
    The $ \pi d_{5/2} $ rotational bands in odd-even nuclei 117,119,121,123,125Cs are systematically investigated using the cranked shell model (CSM) with the pairing correlations modeled with a particle number conserving (PNC) method. In this PNC method, the particle number is conserved exactly while considering the blocking effects. The experimental observations of the $ \pi d_{5/2} $ bands with two upbendings for 117,119Cs and one backbending for 125Cs are reproduced very well by the PNC-CSM method. Furthermore, $ \pi d_{5/2} $ configuration bands with two upbendings for 121Cs and one backbending for 123Cs are predicted by the PNC-CSM calculations. The difference between the lighter 117,119,121Cs and heavier 123,125Cs isotopes is caused by the evolution of single-particle orbitals near the Fermi surface, and the high-j low-Ω orbital $ \pi [550]1/2 $ plays an important role. The proton shell gap of lighter isotopes is at $ Z=50 $, whereas it appears at $ Z=48 $ for heavier ones. For lighter isotopes 117,119,121Cs, the first upbending is primarily due to the off-diagonal contributions of protons $ j_{x}(\pi5/2^{-}[532]\pi3/2^{-}[541]) $ and $ j_{x}(\pi1/2^{-}[550]\pi3/2^{-}[541]) $. The second upbending is mainly effected by the off-diagonal contributions of neutrons $ j_{x}(\nu7/2^{-}[523] \nu5/2^{-}[532]) $ and $ j_{x}(\nu3/2^{-}[541] \nu5/2^{-}[532]) $ for 117,119Cs and $ j_{x}(\nu1/2^{-}[541] \nu5/2^{-}[532]) $ for 121Cs, respectively. For heavier isotopes such as 123,125Cs, the backbending is attributed mainly to the diagonal parts of proton $ j_{x}(\pi1/2^{-}[550]) $ and neutron $ \nu7/2^{-}[523] $ orbital related terms of diagonal $ j_{x}(\nu7/2^{-}[523]) $ and off-diagonal $ j_{x}(\nu7/2^{-}[523] \nu5/2^{-}[532]) $ contributions.
  • Comprehensive investigation on baryon number violating nucleon decays involving an axion-like particle
    In this study, we systematically investigate baryon number violating (BNV) nucleon decays into an axion-like particle (ALP) within a low energy effective field theory extended with an ALP, which is referred to as aLEFT. Unlike previous studies in the literature, we consider contributions to nucleon decays from a complete set of dimension-eight BNV aLEFT operators involving light u, d, and s quarks. We perform the chiral irreducible representation (irrep) decomposition of these interactions under the QCD chiral group ${S U}(3)_{\mathtt{L}}\times {S U}(3)_{\mathtt{R}}$ and match them onto the recently developed chiral framework to obtain nucleon-level effective interactions among the ALP, octet baryons, and octet pseudoscalar mesons. Within this framework, we derive general expressions for the decay widths of nucleon two- and three-body decays involving an ALP. Subsequently, we analyze momentum distributions for three-body modes and find that operators belonging to the newly identified chiral irreps ${\bf{6}}_{{\mathtt{L}}({\mathtt{R}})}\times {\bf{3}}_{{\mathtt{R}}({\mathtt{L}})}$ exhibit markedly different behavior compared to that in the usual irreps ${\bf{8}}_{{\mathtt{L}}({\mathtt{R}})}\times \pmb{1}_{{\mathtt{R}}({\mathtt{L}})}$ and ${\bf{3}}_{{\mathtt{L}}({\mathtt{R}})}\times \bar{{\bf{3}}}_{{\mathtt{R}}({\mathtt{L}})}$. In addition, we reanalyze experimental data collected by Super-Kamiokande and establish bounds on the inverse decay widths of these new modes by properly accounting for experimental efficiencies and Cherenkov threshold effects because of the lack of direct constraints on those exotic decay modes. Our recasting constraints are several orders of magnitude more stringent than inclusive bounds used in the literature. Based on these improved bounds, we set conservative limits on associated effective scales across a broad range of ALP mass and predict stringent bounds on certain neutron and hyperon decays involving an ALP.
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