Composite dark matter with forbidden annihilation

A bstract A dark matter model based on QCD-like SU( N c ) gauge theory with electroweakly interacting dark quarks is discussed. Assuming the dark quark mass m is smaller than the dynamical scale Λ d ~ 4 πf d , the main component of the dark matter is the lightest G -parity odd dark pion associated with chiral symmetry breaking in the dark sector. We show that nonzero dark quark mass induces the universal mass contribution to both G -parity odd and even pions, and their masses tend to be degenerate. As a result, dark pion annihilation into heavier G -parity even dark pion also affects the dark matter relic abundance. Thus, our setup naturally accommodates forbidden dark matter scenario and realizes heavy dark matter whose mass is $$ \mathcal{O} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>O</mml:mi> </mml:math> (1–100) TeV, which is different from conventional electroweakly interacting dark matter such as minimal dark matter. We also discuss CP-violation from the θ -term in the dark gauge sector and find that the predicted size of the electron electric dipole moment can be as large as ∼ 10 − 32 e cm.