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New expressions are derived for photoemission, which allow experimentalelectron energy loss data to be used for estimating losses in photoemission.The derivation builds on new results for dielectric response and mean freepaths of strongly correlated systems of two dimensional layers. Numericalevaluations are made for $Bi_{2}Sr_{2}CaCu_{2}O_{8}$ (Bi2212) by using aparametrized loss function. The mean free path for Bi2212 is calculated andfound to be substantially larger than obtained by Norman et al in a recentpaper. The photocurrent is expressed as the convolution of the intrinsicapproximation for the current from a specific 2D layer with an effective lossfunction. The observed current is the sum of such currents from the first fewlayers. The photo electron from a specific $CuO$ layer is found to excite lowenergy acoustic plasmon modes due to the coupling between the $CuO$ layers.These modes give rise to an asymmetric power law broadening of the photocurrent an isolated two dimensional layer would have given. We define anasymmetry index where a contribution from a Luttinger lineshape is additive tothe contribution from our broadening function. Already the loss effectconsidered here gives broadening comparable to what is observed experimentally.A superconductor with a gapped loss function is predicted to have apeak-dip-hump lineshape similar to what has been observed, and with the samequalitative behavior as predicted in the recent work by Campuzano et al.Comment: 17 pages, 10 figure

External losses in photoemission from strongly correlated quasi-two-dimensional solids