Abstract
We review the search for light dark matter and dark photon at the accelerators including the NA64 experiment. The phenomenology related with the search for light dark matter and dark photon at the accelerators is discussed. The main experimental accelerator bounds on light dark matter models are presented.
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Notes
The field \({{B}_{\mu }}\) is the \(U(1)\) gauge field of the SM.
Here \({{\chi }_{{{\text{L}}{\text{,R}}}}} = \frac{{1 \mp {{\gamma }_{5}}}}{2}\chi \), \({{\chi }^{c}} = C\bar {\chi }\), \({{\chi }_{{\text{M}}}} = {{\chi }_{{\text{L}}}} + \chi _{{\text{L}}}^{c},\) \(\chi _{{\text{M}}}^{c} = {{\chi }_{{\text{M}}}},\) \(\chi _{{\text{M}}}^{c} = C{{\bar {\chi }}_{{\text{M}}}}\) and \(C = i{{\gamma }^{0}}{{\gamma }^{2}}\) is the charge conjugation operator.
For the scalar LDM particles invisible dark photon decay width is given by the formula \(\Gamma (A{\kern 1pt} ' \to \chi \chi *) = \) \(\frac{{{{\alpha }_{{\text{D}}}}}}{{12}}{{m}_{{A{\kern 1pt} '}}}\left( {1 - 4\frac{{m_{\chi }^{2}}}{{m_{{A{\kern 1pt} '}}^{2}}}} \right)\sqrt {1 - \frac{{4m_{\chi }^{2}}}{{m_{{A{\kern 1pt} '}}^{2}}}.} \)
Here we assume that \({{m}_{\chi }} \gg {{m}_{e}}\).
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Krasnikov, N.V. Search for Light Dark Matter at the Accelerators. NA64 Experiment. Phys. Part. Nuclei 54, 902–907 (2023). https://doi.org/10.1134/S1063779623050143
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DOI: https://doi.org/10.1134/S1063779623050143