Constraining antibaryonic dark matter through correlated nucleon decay signatures

Baryon number violation in the visible sector induced by antibaryonic dark matter provides a viable mechanism for low-scale baryogenesis. Two of the most sensitive probes of this scenario are neutron decay processes, such as <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi>n</a:mi><a:mo stretchy="false">→</a:mo><a:mover accent="true"><a:mi>ν</a:mi><a:mo stretchy="false">¯</a:mo></a:mover><a:mo>+</a:mo><a:mtext>invisible</a:mtext></a:math> and <f:math xmlns:f="http://www.w3.org/1998/Math/MathML" display="inline"><f:mi>n</f:mi><f:mo stretchy="false">→</f:mo><f:msup><f:mi>π</f:mi><f:mn>0</f:mn></f:msup><f:mo>+</f:mo><f:mtext>invisible</f:mtext></f:math>. In this work, we discuss the possible spontaneous breaking of baryon symmetry in the dark sector and the generation of di-nucleon decay processes, such as <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"><i:mi>n</i:mi><i:mi>n</i:mi><i:mo stretchy="false">→</i:mo><i:mover accent="true"><i:mi>ν</i:mi><i:mo stretchy="false">¯</i:mo></i:mover><i:mover accent="true"><i:mi>ν</i:mi><i:mo stretchy="false">¯</i:mo></i:mover></i:math> and <p:math xmlns:p="http://www.w3.org/1998/Math/MathML" display="inline"><p:mi>n</p:mi><p:mi>n</p:mi><p:mo stretchy="false">→</p:mo><p:msup><p:mi>π</p:mi><p:mn>0</p:mn></p:msup><p:msup><p:mi>π</p:mi><p:mn>0</p:mn></p:msup></p:math> at one loop, arising from the operators responsible for induced nucleon decays. While the induced nucleon decay rates in this model depend on the dark matter density, di-nucleon decay processes do not, providing a complementary probe of the new physics. We thus use nucleon and di-nucleon decay bounds to constrain the local density and mass of the antibaryonic dark matter.