Threshold and Jet Radius Joint Resummation for Single-Inclusive Jet Production

We present the first threshold and jet radius jointly resummed cross section for single-inclusive hadronic jet production. We work at next-to-leading logarithmic accuracy and our framework allows for a systematic extension beyond the currently achieved precision. Long-standing numerical issues are overcome by performing the resummation directly in momentum space within soft collinear effective theory. We present the first numerical results for the LHC and observe an improved description of the available data. Our results are of immediate relevance for LHC precision phenomenology including the extraction of parton distribution functions and the QCD strong coupling constant.

Figure 1

Ratios $K_R$ of the ${\mathrm{NLO}}_{\sin }$ result, which is obtained by expanding Eq. (2) and the full NLO QCD result for different values of $R$ as a function of the jet $p_T$, for $1.5<|\eta |<2$ at $\sqrt{S}=13\mathrm{TeV}$. The error bars show the numerical uncertainty.

Figure 2

The resummed calculation for inclusive jet production for $|\eta |<2$ at $\sqrt{S}=2.76\mathrm{TeV}$ for different values of $R$ and the CMS data (black dots) of Ref. [3], both normalized to the NLO results.

Figure 3

The resummed calculation for inclusive jet production with $R=0.4$ at $\sqrt{S}=13\mathrm{TeV}$ and the preliminary ATLAS data (black dots) extracted from Ref. [6], both normalized to the NLO result.