Higher-Order QCD Corrections in Prompt Photon Production

TL;DR

This approach conserves both the energy and transverse momentum of resummed radiation and finds the potential for substantial enhancements from higher-order perturbative and power-law nonperturbative corrections at moderate p(T).

Abstract

We exhibit a method for simultaneously treating recoil and threshold corrections in single-photon inclusive cross sections, working within the formalism of collinear factorization. This approach conserves both the energy and transverse momentum of resummed radiation. At moderate p_T, we find the potential for substantial enhancements from higher-order perturbative and power-law nonperturbative corrections.

Figures (2)

• Figure 1: The prompt photon cross section $d\sigma_{{\rm pN}\to\gamma X}/dQ_Tdp_T$ at $\sqrt{s}=31.5$ GeV, as a function of $Q_T$ for various values of photon $p_T$. Dashed lines are computed without recoil ( ${\bf p}_T'={\bf p}_T$ in (\ref{['1pIresumE']})), solid lines are with recoil.
• Figure 2: Prompt photon cross section $Ed^3 \sigma_{{\rm pN}\to\gamma X}/dp^3$ for pN collisions at $\sqrt{s}=31.5$ GeV. The dotted line represents the full NLO calculation, while the dashed and solid lines respectively incorporate pure threshold resummation thrphen and the joint resummation described in this paper. Data have been taken from e706.