Anapole moment of neutrinos and radioactive sources near liquid xenon detectors

We show that placing a radioactive source such as <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mrow><a:mmultiscripts><a:mrow><a:mi>Cr</a:mi></a:mrow><a:mprescripts/><a:none/><a:mrow><a:mn>51</a:mn></a:mrow></a:mmultiscripts></a:mrow></a:math> near a liquid xenon detector may allow us to detect the contribution induced by the anapole moment to neutrino-electron scattering in the Standard Model (SM) at the <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:mrow><c:mn>1</c:mn><c:mo>−</c:mo><c:mn>2</c:mn><c:mi>σ</c:mi></c:mrow></c:math> level. Although the anapole moment of neutrinos induces a scattering rate with the same spectral shape as the neutral and charged current contributions, exposures of <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:mrow><e:mo>∼</e:mo><e:mn>60</e:mn><e:mtext> </e:mtext><e:mtext> </e:mtext><e:mi>ton</e:mi><e:mo>×</e:mo><e:mi>source</e:mi></e:mrow></e:math> run at XENONnT or XLZD may be enough to accumulate sufficient statistics for a detection. We also discuss a simple model where the anapole moment of neutrinos is enhanced or decreased with respect to the SM expectation, further demonstrating how a potential measurement of the anapole moment of neutrinos would allow us to constrain new physics.