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Transverse masses and kinematic constraints: from the boundary to the crease | | Alan J. Barr
; Ben Gripaios
; Christopher G. Lester
; | | Date: |
26 Aug 2009 | | Abstract: | We re-examine the kinematic variable m_T2 and its relatives in the light of
recent work by Cheng and Han. Their proof that m_T2 admits an equivalent, but
implicit, definition as the ’boundary of the region of parent and daughter
masses that is kinematically consistent with the event hypothesis’ is
far-reaching in its consequences. We generalize their result both to simpler
cases (m_T, the transverse mass) and to more complex cases (m_TGen). We further
note that it is possible to re-cast many existing and unpleasant proofs (e.g.
those relating to the existence or properties of ’’kink’’ and ’’crease’’
structures in m_T2) into almost trivial forms by using the alternative
definition. Not only does this allow us to gain better understanding of those
existing results, but it also allows us to write down new (and more or less
explicit) definitions of (a) the variable that naturally generalizes m_T2 to
the case in which the parent or daughter particles are not identical, and (b)
the inverses of m_T and m_T2 -- which may be useful if daughter masses are
known and bounds on parent masses are required. We note the implications that
these results may have for future matrix-element likelihood techniques. | | Source: | arXiv, 0908.3779 | | Services: | Forum | Review | PDF | Favorites | |
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