Higgs boson, though electrically neutral, can decay to produce a pair of photons i.e., have electromagnetic interactions. See the answer here. Therefore, it appears that making dark matter electrically uncharged is not enough to prevent its decay into photons. For example, @marmot points out that axions can decay into photons. However, dark matter models usually also involve $\mathbb{Z}_2$ symmetries to prevent the decay of dark matter particles. Then how is it possible that the dark matter, like the axion, can still decay?
Asked
Active
Viewed 97 times
2
-
same story with Z-boson. This is because Z and Higgs are electroweak multiplets, or parts of multiplets. Photon is also part of EW multiplet. – Kosm Jun 14 '18 at 12:18
-
@marmot You mean $\mathbb{Z}_2$ type symmetry would forbid its decay into photons? My question is this. While building a model for dark matter, is it enough to consider the dark matter to be uncharged in order to prevent its decay into photons? – SRS Jun 14 '18 at 12:35
-
In many models decay of dark matter to photons is forbidden by giving it some conserved exotic quantum number, see for example Wikipedia on the LSP. – Sebastian Riese Jun 14 '18 at 12:45
-
1No, I did not read your question carefully. DM can decay into photons. An example is the axion, whose decay rate is hover tiniest. – Jun 14 '18 at 12:54
-
@marmot Not your fault. I edited the question. – SRS Jun 14 '18 at 13:11
-
A $\mathbb{Z}_2$ symmetry can make the DM absolutely stable, so it can't decay in anything, including photons. – Jun 14 '18 at 13:13
-
@marmot So axion decay is not protected by imposing a $\mathbb{Z}_2$? – SRS Jun 14 '18 at 13:15
-
The (QCD) axion does not have $\mathbb{Z}_2$ symmetry. In fact, I guess it is next-to-impossible to have a $\mathbb{Z}_2$ for an axion which you have an approximate shift symmetry. – Jun 14 '18 at 13:21
