Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On-shell constrained $M_2$ variables with applications to mass
  measurements and topology disambiguation   We consider a class of on-shell constrained mass variables that are 3+1
dimensional generalizations of the Cambridge $M_{T2}$ variable and that
automatically incorporate various assumptions about the underlying event
topology. The presence of additional on-shell constraints causes their
kinematic distributions to exhibit sharper endpoints than the usual $M_{T2}$
distribution. We study the mathematical properties of these new variables,
e.g., the uniqueness of the solution selected by the minimization over the
invisible particle 4-momenta. We then use this solution to reconstruct the
masses of various particles along the decay chain. We propose several tests for
validating the assumed event topology in missing energy events from new
physics. The tests are able to determine: 1) whether the decays in the event
are two-body or three-body, 2) if the decay is two-body, whether the
intermediate resonances in the two decay chains are the same, and 3) the exact
sequence in which the visible particles are emitted from each decay chain.

26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat