QCD predictions for the transverse energy flow in deep-inelastic scattering in the DESY HERA small<i>x</i>regime

The distribution of transverse energy ${\mathit{E}}_{\mathit{T}}$, which accompanies deep-inelastic electron-proton scattering at small x, is predicted in the central region away from the current jet and proton remnants. We use BFKL dynamics, which arises from the summation of multiple gluon emissions at small x, to derive an analytic expression for the ${\mathit{E}}_{\mathit{T}}$ flow. One interesting feature is an ${\mathit{x}}^{\mathrm{\ensuremath{-}}\mathrm{\ensuremath{\epsilon}}}$ increase of the ${\mathit{E}}_{\mathit{T}}$ distribution with decreasing x, where \ensuremath{\epsilon}=(3${\mathrm{\ensuremath{\alpha}}}_{\mathit{s}}$/\ensuremath{\pi})2 ln2. We perform a numerical study to examine the possibility of using characteristics of the ${\mathit{E}}_{\mathit{T}}$ distribution as a means of identifying BFKL dynamics at DESY HERA.