Neutrino Effects on Atomic Measurements of the Weinberg Angle

Abstract

We derive a complete expression for the neutrino-mediated quantum force beyond the four-Fermi approximation within the Standard Model. Using this new result, we study the effect of atomic parity violation caused by neutrinos. We find that the neutrino effect is sizable compared to the current experimental sensitivity and can also significantly affect the value of the Weinberg angle measured in atomic systems. This offers a promising method for detecting the neutrino force in the future and facilitates the application of precision atomic physics as a probe for neutrino physics and the electroweak sector of the Standard Model.

5 pages, companion Letter to arXiv:2410.19059, with an emphasis on the effects of the neutrino force in atomic systems, accepted for publication in PRL

References in corpus (13)

• Absolute neutrino mass and the Dirac/Majorana distinction from the weak interaction of aggregate matter
• Probing the two-neutrino exchange force using atomic parity violation
• Probing New Physics with Long-Range Neutrino Interactions: An Effective Field Theory Approach
• The Neutrino Casimir Force
• Neutrino forces in neutrino backgrounds
• On the short-range behavior of neutrino forces beyond the Standard Model: from $1/r^5$ to $1/r^4$, $1/r^2$, and $1/r$
• Wake forces in a background of quadratically coupled mediators
• The neutrino force in neutrino backgrounds: Spin dependence and parity-violating effects
• Long-range parity non-conserving electron-nucleon interaction
• Isotopic variation of parity violation in atomic ytterbium: method of measurements and analysis of systematic effects
• Effects of the long-range neutrino-mediated force in atomic phenomena
• Neutrino force at all length scales
• Studies of parity violation in atoms

Cited by in corpus (1)

• Neutrino force at all length scales