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The square of the horizontal projected (rms) beam emittance is expressed asthe sum of four nonnegative contributions, each described using the slicemoments of the beam and possessing a natural interpretation in terms of thegeometrical properties of the beam in the six-dimensional phase space. Themathematical formalism describing the relationships between projected beamquantities and slice beam quantities is reviewed. The results may be used toreconstruct the moments and emittances of the beam from the moments of itssubpopulations, as well as to isolate and better understand a variety of sliceand interslice dynamical contributions to the projected beam emittance growth.

A General Slice Moment Decomposition of RMS Beam Emittance