221 Appendix E: Standard pQCD Results from the previous section. One finds that The result for Eq. (E.28) expanded to first order in 1 /E + is p · P$_{M}$ = M 2(1 − x ) E + [ $^{(}$(1 − x ) E + ) 2 + k 2 + M 2 Q ] (E.59) p · k = 1 2 x (1 − x ) $^{[}$k 2 + (1 − x ) $^{2}$m2 γ + x $^{2}$M2 Q ] (E.60) P$_{M}$ · k = M 2 xE + $^{[}$( xE $^{+}$)2 + k 2 + m 2 γ $^{]}$. (E.61) ∑ λ |M| 2 = 4( Qe ) $^{2}$(1 − x ) 2 $^{(}$k 2 + (1 − x ) $^{2}$m2 γ ) [ k 2 + (1 − x ) $^{2}$m2 γ + x $^{2}$M 2 $_{Q}$] 2 + O ( $^{(}$1 /xE + ) 2 $^{)}$. (E.62) There are three differences between Eq. (E.58) and Eq. (E.62): the addi- tional overall factor of (1 − x ) 2 in Eq. (E.62), (1 − x ) 2 in Eq. (E.62) instead of 1 − x in Eq. (E.58) as the coefficient of m 2 γ in the denominator, and the additional (1 − x ) $^{2}$m2 γ in the numerator of Eq. (E.62). In the limit of small x for which the calculations are valid, the first two disappear; however the third is a true inconsistency. In the following Appendix we will find that the second is due to including the mass of the gluon from the k 2 term in the denominator of the quark propagator and that the first and third are due to the interference terms from the away-side jet.