Mono-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>X</mml:mi></mml:math> signal and two component dark matter: New distinction criteria
Subhaditya Bhattacharya, Purusottam Ghosh, Jayita Lahiri, Biswarup Mukhopadhyaya
Abstract
The identification and isolation of two weakly interacting massive particles (WIMP) dark matter (DM) components at colliders is of wide interest on the one hand but extremely challenging on the other, especially when the dominant signal of both DM components is of the mono-$X$ type ($X=\ensuremath{\gamma}$, $Z$, $H$). After emphasizing that an ${e}^{+}{e}^{\ensuremath{-}}$ collider is more suitable for this goal, we first identify the theoretical principles that govern the occurrence of two peaks in missing energy ($\overline{)E}$) distribution, in a double-DM scenario. We then identify a variable that rather spectacularly elicits the double-peaking behavior, namely, the plot of bin-wise statistical significance ($S/\sqrt{B}$) against $\overline{)E}$. Using Gaussian fits of the histograms, we apply a set of criteria developed by us, to illustrate the above points numerically for suitable benchmarks.