Constrained invariant mass distributions in cascade decays. The shape of the "m(qll)-threshold" and similar distributions
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Abstract
Considering the cascade decay $m_{qll}$ threshold'' -- which is the distribution of the combined invariant mass of the visible standard model particles radiated from the hypothesised decay of a squark to the lightest neutralino via successive two body decay,: $\squark \to q \ntlinoTwo \to q l \slepton \to q l l \ntlinoOne $, in which the experimenter requires additionally that $m_{ll}$ be greater than ${m_{ll}^{max}}/\sqrt{2}$. The location of the
foot'' of this distribution is often used to constrain
sparticle mass scales. The new results presented here permit the location of
this foot to be better understood as the shape of the distribution is derived.
The effects of varying the position of the
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1873-2445