Abstract
We explore a variant on the MT2 kinematic variable which enables dark matter mass measurements for simple, one stage, cascade decays. This will prove useful for constraining a subset of supersymmetric processes, or a class of leptophilic dark matter models at the LHC. We investigate the statistical reach of these measurements and discuss which sources of error have the largest effects. For example, we find that using only single stage cascade decays with initial state radiation, a measurement of a 150 GeV dark matter candidate can be made to O(10%) for a parent mass of 300 GeV with a production cross section of 100 fb and 100 fb^(-1) of integrated luminosity.
Highlights
Background contamination and cuts we will argue that a generic set of cuts designed to remove backgrounds will not degrade the minimum of the MT 2 bowl and will not affect our conclusions
We explore a variant on the MT 2 kinematic variable which enables dark matter mass measurements for simple, one stage, cascade decays
In this work we studied the possibility of using n = 1 single stage cascade decays to measure the DM mass at the LHC
Summary
We begin by reviewing the MT 2 variable [15, 16]. Since the LHC is a hadron collider, the initial parton longitudinal momenta are unknown. Only the total transverse momentum is constrained to be zero, and it becomes necessary to use transverse variables, such as MT 2, a generalization of the transverse mass (see [18,19,20]). In eq (2.1), MT(i) is the transverse mass of the visible and child particles using the guessed missing momentum,. Methods which do not capitalize on these corrections do not have enough information to extract both masses separately This neglects, the potential for additional USR in the event. Given an event with a specific value for the PT of the USR, one can extract the parent and child masses. . .) is the Heaviside function and MTm2easured(mc) is the measured value of MT 2(mc) It is this variable we will be minimizing to find the correct child mass. Note that we use the MadGraph default settings which defines a lepton as having pT > 10 GeV and a jet as having pT > 20 GeV
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