220 Appendix E: Standard pQCD Results Therefore Hence the distribution of emitted photons is This does not agree with [305], but does agree with the—presumably cor- rected version—in [447]. Note that we have not included radiation into the longitudinal mode. Note that while the sum over polarizations changes to $^{∑}$$_{λ}$ϵ$_{µ}$ ϵ ∗ ν = − g$_{µν}$ + k$_{µ}$k$_{ν}$/m 2 $_{g}$, Eq. (E.28) is unchanged; the additional terms exactly cancel each other. We need to calculate the relevant dot products using the four momenta E.2.5 Classical Calculation, Massive Quark Jet and Massive Photon i M$_{β}$ = Qe 2 k · ϵ /x k 2 + (1 − x ) m 2 γ + x $^{2}$M 2 $_{Q}$/x (1 − x ) (E.55) = 2 Qe (1 − x ) k · ϵ k 2 + (1 − x ) m 2 γ + x $^{2}$M 2 Q (E.56) ≃ 2 Qe k · ϵ k 2 + (1 − x ) m 2 γ + x $^{2}$M 2 Q . (E.57) dN (0) γ d $^{3}$k = Q $^{2}$α π $^{2}$ω k 2 [ k 2 + (1 − x ) m 2 γ + x $^{2}$M 2 $_{Q}$] $_{2}$. (E.58)