Extracting many-body correlators of saturated gluons with precision from inclusive <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>photon</mml:mi><mml:mo>+</mml:mo><mml:mi>dijet</mml:mi></mml:mrow></mml:math> final states in deeply inelastic scattering
Kaushik Roy, Raju Venugopalan
Abstract
We highlight the principal results of a computation [1] in the color glass condensate effective field theory of the next-to-leading order (NLO) impact factor for inclusive $\mathrm{photon}+\mathrm{dijet}$ production at Bjorken ${x}_{\text{Bj}}\ensuremath{\ll}1$ in deeply inelastic electron-nucleus ($\mathrm{e}+\mathrm{A}\text{ }\text{DIS}$) collisions. When combined with extant results for next-to-leading log ${x}_{\text{Bj}}$ JIMWLK renormalization group (RG) evolution of gauge invariant two-point (``dipole'') and four-point (``quadrupole'') correlators of lightlike Wilson lines, the inclusive $\mathrm{photon}+\mathrm{dijet}$ $\mathrm{e}+\text{A DIS cross section can be determined}$ to $\ensuremath{\sim}10%$ accuracy. Our computation simultaneously provides the ingredients to compute fully inclusive DIS, inclusive photon, inclusive dijet, and inclusive $\mathrm{photon}+\text{jet}$ channels to the same accuracy. This makes feasible quantitative extraction of many-body correlators of saturated gluons and precise determination of the saturation scale ${Q}_{S,A}({x}_{\text{Bj}})$ at a future Electron-Ion Collider. An interesting feature of our NLO result is the structure of the violation of the soft gluon theorem in the Regge limit. Another is the appearance in gluon emission of timelike nonglobal logs which also satisfy JIMWLK RG evolution.