A double right-handed U(1) gauge extension generates the Standard Model fermion mass hierarchy at tree and loop levels and stabilizes a viable scalar singlet dark matter particle consistent with relic density and direct detection bounds.
High-precision determination of the pion-nucleon $\sigma$-term from Roy-Steiner equations
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abstract
We present a determination of the pion-nucleon ($\pi N$) $\sigma$-term $\sigma_{\pi N}$ based on the Cheng-Dashen low-energy theorem (LET), taking advantage of the recent high-precision data from pionic atoms to pin down the $\pi N$ scattering lengths as well as of constraints from analyticity, unitarity, and crossing symmetry in the form of Roy-Steiner equations to perform the extrapolation to the Cheng-Dashen point in a reliable manner. With isospin-violating corrections included both in the scattering lengths and the LET, we obtain $\sigma_{\pi N}=(59.1\pm 1.9\pm 3.0)$ MeV $=(59.1\pm 3.5)$ MeV, where the first error refers to uncertainties in the $\pi N$ amplitude and the second to the LET. Consequences for the scalar nucleon couplings relevant for the direct detection of dark matter are discussed.
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Dark matter in classically conformal theories: WIMP and supercooling
Classically conformal SU(2)_X model with triplet dark scalar yields viable WIMP and supercooled DM parameter spaces whose production histories are set by the model's first-order phase transition, with gravitational waves as a common probe.