Constraints on metastable superheavy dark matter coupled to sterile neutrinos with the Pierre Auger Observatory
Annotatsiya
Dark matter particles could be superheavy, provided their lifetime is much longer than the age of the Universe. Using the sensitivity of the Pierre Auger Observatory to ultrahigh energy neutrinos and photons, we constrain a specific extension of the Standard Model of particle physics that meets the lifetime requirement for a superheavy particle by coupling it to a sector of ultralight sterile neutrinos. Our results show that, for a typical dark coupling constant of 0.1, the mixing angle <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:msub><a:mi>θ</a:mi><a:mi>m</a:mi></a:msub></a:math> between active and sterile neutrinos must satisfy, roughly, <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:msub><c:mi>θ</c:mi><c:mi>m</c:mi></c:msub><c:mo>≲</c:mo><c:mn>1.5</c:mn><c:mo>×</c:mo><c:msup><c:mn>10</c:mn><c:mrow><c:mo>−</c:mo><c:mn>6</c:mn></c:mrow></c:msup><c:mo stretchy="false">(</c:mo><c:msub><c:mi>M</c:mi><c:mi>X</c:mi></c:msub><c:mo>/</c:mo><c:msup><c:mn>10</c:mn><c:mn>9</c:mn></c:msup><c:mtext> </c:mtext><c:mtext> </c:mtext><c:mi>GeV</c:mi><c:msup><c:mo stretchy="false">)</c:mo><c:mrow><c:mo>−</c:mo><c:mn>2</c:mn></c:mrow></c:msup></c:math> for a mass <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"><g:msub><g:mi>M</g:mi><g:mi>X</g:mi></g:msub></g:math> of the dark-matter particle between <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"><i:msup><i:mn>10</i:mn><i:mn>8</i:mn></i:msup><i:mtext> </i:mtext><i:mtext> </i:mtext><i:mi>GeV</i:mi></i:math> and <k:math xmlns:k="http://www.w3.org/1998/Math/MathML" display="inline"><k:msup><k:mn>10</k:mn><k:mn>11</k:mn></k:msup><k:mtext> </k:mtext><k:mtext> </k:mtext><k:mi>GeV</k:mi></k:math>. Published by the American Physical Society 2024