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A storm in a “T” cup

A storm in a “T” cup. Or how (not) to make transverse projections at the LHC. Usual geometry and momentum projection. In (1+3)d:.

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A storm in a “T” cup

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  1. A storm in a “T” cup Or how (not) to make transverse projections at the LHC

  2. Usual geometry and momentum projection In (1+3)d: What to do with time-like component of P when projecting to (1+2)d?Various options possible & used to construct time-like component: (Here labelled “T”, “V”, “o”)Differences, pros & cons not widely appreciated.

  3. Option 1/3The “T” projectionMass-preserving

  4. Option 2/3 The “V” projectionSpeed preserving After this projection the 1+2-dimensional inner product is no longer M2 However, the 1+2 dimensional speed is preserved:

  5. Option 3/3 The “o” projectionAlways massless

  6. A graphical representation Hierarchy easily proved to be:

  7. Partitioning events Reconstruct parent masses by summing (1+3) or (1+2) vectors

  8. Operations “add” and “project” do not commute Example:

  9. Procedures given for constructing variables for given hypothesis Example of fully leptonictop pair decay

  10. How existing variables fit in ourcategorisation

  11. What common computer libraries offer

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