A first-principles QFT treatment of dark matter scattering off atomic electrons shows that free-electron factorization can fail and that relativistic Dirac wave functions reduce the xenon atomic factor by 30-50% relative to non-relativistic Schrödinger wave functions.
Magnetic neutrino scattering on atomic electrons revisited
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abstract
We reexamine the role of electron binding effects in the inelastic neutrino-atom scattering induced by the neutrino magnetic moment. The differential cross section of the process is presented as a sum of the longitudinal and transverse components, according to whether the force that the neutrino magnetic moment exerts on electrons is parallel or perpendicular to momentum transfer. The atomic electrons are treated nonrelativistically. On this basis, the recent theoretical predictions concerning the magnetic neutrino-impact ionization of atoms are critically discussed. Numerical calculations are performed for ionization of a hydrogenlike Ge$^{+31}$ ion by neutrino impact.
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Relativistic Atomic Effects of Dark Matter Electron Scattering
A first-principles QFT treatment of dark matter scattering off atomic electrons shows that free-electron factorization can fail and that relativistic Dirac wave functions reduce the xenon atomic factor by 30-50% relative to non-relativistic Schrödinger wave functions.