• Exploring the entanglement of free spin-${\bf\dfrac{1}{2}}$, spin-1 and spin-2 fields
    In this study, we explore the entanglement of free spin-$ \displaystyle\frac{1}{2} $, spin-1, and spin-2 fields. We start with an example involving Majorana fields in 1+1 and 2+1 dimensions. Subsequently, we perform the Bogoliubov transformation and express the vacuum state with a particle pair state in the configuration space, which is used to calculate the entropy. This clearly demonstrates that the entanglement entropy originates from the particles across the boundary. Finally, we generalize this method to free spin-1 and spin-2 fields. These higher free massless spin fields have well-known complications owing to gauge redundancy. We deal with the redundancy by gauge-fixing in the light-cone gauge. We show that this gauge provides a natural tensor product structure in the Hilbert space, while surrendering explicit Lorentz invariance. We also use the Bogoliubov transformation to calculate the entropy. The area law emerges naturally by this method.
  • Monopole effects, core excitations, and ${\beta}$ decay in the A = 130 hole nuclei near 132Sn
    The proton and neutron cross-shell excitations across the Z = 50 shell are investigated in the southwest quadrant of 132Sn by large-scale shell-model calculations with extended pairing and multipole-multipole force. The model space allows proton (neutron) core excitations, and both the low- and high-energy states for 130In are well described, as found by comparison with the experimental data. The monopole effects between the proton orbit $ g_{9/2} $ and neutron orbit $ g_{7/2} $ are studied as the new monopole correction that perfectly reproduces the first 1+ level in 130In. The energy interval of proton (neutron) core excitations in 130In lies in the range of 4.5−6.5 (2.0−4.1) MeV, and the high energy yrast states are predicted as neutron core excitations. The $ \beta $ decays are calculated among the A=130 nuclei of 130In, 130Sn and 130Cd.
  • Long live the Higgs factory: Higgs decays to long-lived particles at future lepton colliders
    We initiate the study of exotic Higgs decays to long-lived particles (LLPs) at proposed future lepton colliders, focusing on scenarios with displaced hadronic final states. Our analysis entails a realistic tracker-based search strategy involving the reconstruction of displaced secondary vertices and the imposition of selection cuts appropriate for eliminating the largest irreducible backgrounds. The projected sensitivity is broadly competitive with that of the LHC and potentially superior at lower LLP masses. In addition to forecasting branching ratio limits, which may be freely interpreted in a variety of model frameworks, we interpret our results in the parameter space of a Higgs portal Hidden Valley and various incarnations of neutral naturalness, illustrating the complementarity between direct searches for LLPs and precision Higgs coupling measurements at future lepton colliders.
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