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Dark Matter Electric and Magnetic Dipole Moments [Phys. Rev. D 70 , 083501 (2004)]. Michael Doran § * Robert R. Caldwell* Marc Kamionkowski † Andriy Kurylov † Kris Sirgurdson † § ITP Heidelberg, *Dartmouth College, † Caltech. How dark is dark ?. So what’s cold & dark ?.
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Dark Matter Electric and Magnetic Dipole Moments[Phys. Rev. D 70, 083501 (2004)] Michael Doran§* Robert R. Caldwell* Marc Kamionkowski† Andriy Kurylov† Kris Sirgurdson† §ITP Heidelberg, *Dartmouth College, †Caltech
So what’s cold & dark ? • Various astronomical experiments show that energy density of the Universe today is • 5% Baryon (ordinary matter) • 25% Cold dark matter (non-interacting matter) • 70% Dark energy (very strange) • Physical properties of dark matter unknown • Direct detection still elusive • Next generation accelerators may detect cold dark matter • If found, a completely different elementary particle and exciting new possibilities • Nobel prize
Semi-Simple considerations • For permanent dipole moment, spin must be ¹ 0 • We consider Spin ½ Fermion which must be Dirac • Magnetic bound state does not exist • However, bound state between dipolar dark matter and electrons could exist (Fermi & Teller). Yet, dipole moment needed is ruled out by experiments. • In order to pass BBN constraints, our dark matter Fermion must not be relativistic at BBN, hence (except if Dipole is small)
Dark Matter – Photon Lagrangian Interaction Lagrangian is given by So dark matter may interact with baryons via Gell-Mann (1950)
Direct Detection • Total cross section is formally divergent, but this is like Coulomb scattering and comes from small momentum transfers. Screening by electrons renders it finite. • Null searches in Germanium detectors place stringent limit of • But wait: Dark-Matter particle could be stopped / slowed down in the rock above!
Conclusions • We have performed extensive study of constraints on dark matter dipole from all known state of the art experiments • Cosmological constraint is (almost) comparable to ground based experiments • Dipole Moment may be as large as • Nice example of competitiveness of the biggest experiment ever (the Universe) and ground based observations.