High-energy jet quenching in weakly coupled quark-gluon plasmas

q boolean AND is the average squared transverse momentum transfer per unit length to a high-energy particle traversing a QCD medium such as a quark-gluon plasma. We find the (UV-regulated) value of q boolean AND to leading order in the weak coupling limit, alpha(s)(T)< 1. We then use this value to generalize previous analytic results on the gluon bremsstrahlung and pair production rates for massless high-energy particles in a weakly coupled quark-gluon plasma, at next-to-leading logarithmic order.