Topological Quantum Dark Matter via Global Anomaly Cancellation

We introduce a new class of $U(1)_X$ symmetries where all Standard Model fermions are "chiral", i.e. the left and right-handed components have different charges under the $U(1)_X$ symmetry. Gauge anomaly cancellation is achieved by introducing three Standard Model gauge singlet dark fermions ($f^i$; $i=1,2,3$) charged under this symmetry. We systematically present chiral solutions for cases in which (a) one, (b) two, or (c) all three generations of Standard Model fermions are...

Built upon the previous work on the 4d anomalies and 5d cobordism invariants (namely, 5d invertible field theory [iTFT] or symmetry-protected topological state [SPTs]) of the Standard Model [SM] gauge theory with compatible (SU(3)$\times$SU(2)$\times$U(1))/$\mathbb{Z}_q$ gauge group for $q=1,2,3,6$, we further enumerate lower-dimensional iTFT / SPTs in 4d, 3d, 2d, and 1d. While the 4d SPTs are interesting gapped phases attachable to the SM, those integer classes of SPTs (eith...

We propose a $U(1)_{B-L}$ gauge extension to the SM, in which the dark sector is stabilized through a matter parity symmetry preserved after spontaneous symmetry breaking. The fermion spectrum includes three neutral right-handed fields with $B-L$ charges $(-4,-4, 5)$, that make the model free of gauge anomalies. Two of these neutral fermion fields serve as mediators in a scotogenic mechanism for light-active Majorana neutrino masses. The corresponding neutrino mass matrix has...

Since the electric charge in the standard model is theoretically not quantized, we may have a variant of it, called dark charge. Similar to the electric charge, the dark charge neither commutes nor closes algebraically with $SU(2)_L$. The condition of algebraic closure leads to a novel gauge extension, $SU(2)_L \otimes U(1)_Y \otimes U(1)_N$, where $Y$ and $N$ determine the electric and dark charges, respectively, apart from the color group. We argue that the existence of the...

We investigate (3+1)d topological orders in fermionic systems with an anomalous $\mathbb{Z}_{2N}^{\mathrm{F}}$ symmetry, where its $\mathbb{Z}_2^{\mathrm{F}}$ subgroup is the fermion parity. Such an anomalous symmetry arises as the discrete subgroup of the chiral U(1) symmetry of $\nu$ copies of Weyl fermions of the same chirality. Guided by the crystalline correspondence principle, we construct (3+1)d symmetry-preserving gapped states on the boundary of a closely related (4+...

We propose a new physics model which has a cold dark matter candidate and can explain the $b \to s \mu^+\mu^-$ anomaly at the same time. Our model includes a scalar quark $\widetilde{q}$ and a scalar lepton $\widetilde{\ell}$ which are $SU(2)_L$-doublet as well as a Dirac fermion $N$ which is $SU(2)_L$-singlet. The new particles are charged under a gauged $U(1)_X$ group which is spontaneously broken to a discrete $Z_2$ symmetry by a dark scalar $S$. The remnant $Z_2$ symmetry...

We study electroweak scale Dark Matter (DM) whose interactions with baryonic matter are mediated by a heavy anomalous $Z'$. We emphasize that when the DM is a Majorana particle, its low-velocity annihilations are dominated by loop suppressed annihilations into the gauge bosons, rather than by p-wave or chirally suppressed annihilations into the SM fermions. Because the $Z'$ is anomalous, these kinds of DM models can be realized only as effective field theories (EFTs) with a w...

We study a generic leptophilic $U(1)_X$ extension of the standard model with a light gauge boson. The $U(1)_X$ charge assignments for the leptons are guided by lepton universality violating (LUV) observables in semileptonic $b \to s\ell\ell$ decays, muon anomalous magnetic moment and the origin of leptonic masses and mixing. Anomaly cancellation conditions require the addition of new chiral fermions in the model, one of which acts as a dark matter (DM) candidate when it is st...

The purpose of this paper is to answer the following question : is it possible to find a gauge group G and a space-time dimension D such that anomalies constrain the fermion content to be composed of the 3 known families of quarks and leptons ? The answer is, in some way, unique and consists in taking an SU(5) gauge group in 6 dimensions. This work has been done with the collaboration of N. Borghini and M. H. Tytgat.

In the past year, a new non-supersymmetric framework for electroweak symmetry breaking (with or without Higgs) involving SU(2)_L * SU(2)_R * U(1)_{B-L} in higher dimensional warped geometry has been suggested. In this work, we embed this gauge structure into a GUT such as SO(10) or Pati-Salam. We showed recently (in hep-ph/0403143) that in a warped GUT, a stable Kaluza-Klein fermion can arise as a consequence of imposing proton stability. Here, we specify a complete realistic...