Pseudo-Goldstone Dark Matter in $SO(10)$. (arXiv:2105.03419v1 [hep-ph])
<a href="http://arxiv.org/find/hep-ph/1/au:+Okada_N/0/1/0/all/0/1">Nobuchika Okada</a>, <a href="http://arxiv.org/find/hep-ph/1/au:+Raut_D/0/1/0/all/0/1">Digesh Raut</a>, <a href="http://arxiv.org/find/hep-ph/1/au:+Shafi_Q/0/1/0/all/0/1">Qaisar Shafi</a>, <a href="http://arxiv.org/find/hep-ph/1/au:+Thapa_A/0/1/0/all/0/1">Anil Thapa</a>
We propose a pseudo-Goldstone boson dark matter (pGDM) particle in $SO(10)$
grand unified theory (GUT). Due to its Goldstone nature, this pGDM evades the
direct DM detection experiments which, otherwise, severely constrain the
parameter space of DM models. In $SO(10)$, the pGDM is embedded as a linear
combination of the Standard Model (SM) singlet scalars in ${bf 16_H}$ and
${bf 126_H}$ representations. We consider two scenarios for the intermediate
route of $SO(10)$ symmetry breaking (SB) to the SM: $SU(5) times U(1)_X$ and
Pati-Salam the $SU(4)_c times SU(2)_L times SU(2)_R$ (4-2-2) gauge groups.
The vacuum expectation value of ${bf 126_H}$, which triggers the breaking of
$U(1)_X$ and 4-2-2 symmetry in the two scenarios, respectively, determines the
pGDM lifetime whose astrophysical lower bound provides one of the most
stringent constraints. For the 4-2-2 route to $SO(10)$, the successful SM gauge
coupling unification requires the 4-2-2 breaking scale to be ${cal O}
(10^{11})$ GeV, and most of the parameter space is excluded. For the $SU(5)
times U(1)_X$ route, on the other hand, the $U(1)_X$ breaking scale can be
significantly higher, and a wide range of the parameter space is allowed.
Furthermore, the proton lifetime in the $SU(5)$ case is predicted to be $4.53
times 10^{34}$ years, which lies well within the sensitivity reach of the
Hyper-Kamiokande experiment. We also examine the constraints on the model
parameter space from the Large Hadron Collider and the indirect DM search by
Fermi-LAT and MAGIC experiments.
We propose a pseudo-Goldstone boson dark matter (pGDM) particle in $SO(10)$
grand unified theory (GUT). Due to its Goldstone nature, this pGDM evades the
direct DM detection experiments which, otherwise, severely constrain the
parameter space of DM models. In $SO(10)$, the pGDM is embedded as a linear
combination of the Standard Model (SM) singlet scalars in ${bf 16_H}$ and
${bf 126_H}$ representations. We consider two scenarios for the intermediate
route of $SO(10)$ symmetry breaking (SB) to the SM: $SU(5) times U(1)_X$ and
Pati-Salam the $SU(4)_c times SU(2)_L times SU(2)_R$ (4-2-2) gauge groups.
The vacuum expectation value of ${bf 126_H}$, which triggers the breaking of
$U(1)_X$ and 4-2-2 symmetry in the two scenarios, respectively, determines the
pGDM lifetime whose astrophysical lower bound provides one of the most
stringent constraints. For the 4-2-2 route to $SO(10)$, the successful SM gauge
coupling unification requires the 4-2-2 breaking scale to be ${cal O}
(10^{11})$ GeV, and most of the parameter space is excluded. For the $SU(5)
times U(1)_X$ route, on the other hand, the $U(1)_X$ breaking scale can be
significantly higher, and a wide range of the parameter space is allowed.
Furthermore, the proton lifetime in the $SU(5)$ case is predicted to be $4.53
times 10^{34}$ years, which lies well within the sensitivity reach of the
Hyper-Kamiokande experiment. We also examine the constraints on the model
parameter space from the Large Hadron Collider and the indirect DM search by
Fermi-LAT and MAGIC experiments.
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