Earth screening of quadratically coupled ultralight dark matter produces a multi-band frequency structure in the induced force whose sideband amplitudes vary annually, enabling improved constraints from MICROSCOPE and future EP missions.
High-precision determination of the pion-nucleon $\sigma$-term from Roy-Steiner equations
7 Pith papers cite this work, alongside 253 external citations. Polarity classification is still indexing.
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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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Background-Induced Forces from Quadratically Coupled Ultralight Dark Matter
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Physical implications of a double right-handed gauge symmetry
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Renormalization-Group Invariant Parity-Doublet Model for Nuclear and Neutron-Star Matter
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