Abstract
The jet shape is the fraction of the jet energy within a cone r centered on the jet axis. We calculate the jet shape distribution at next-to-leading logarithmic accuracy plus next-to-leading order (NLL′), accounting for logarithms of both the jet radius R and the ratio r/R. This is the first phenomenological study that takes the recoil of the jet axis due to soft radiation into account, which is needed to reach this accuracy, but complicates the calculation of collinear radiation and requires the treatment of rapidity logarithms and non-global logarithms. We present numerical results, finding good agreement with ATLAS and CMS measurements of the jet shape in an inclusive jet sample, pp → jet + X, for different kinematic bins. The effect of the underlying event and hadronization are included using a simple one-parameter model, since they are not part of our perturbative calculation.
Highlights
The cross section describing the measurement of the fraction zr of jet energy inside the cone of radius r around the jet axis, in an inclusive sample of jets produced in pp collisions
We start with the ATLAS data for the integrated and differential jet shape of ref
We show a comparison of our numerical results to the ATLAS data for the integrated jet shape ψ(r) for four representative pT intervals, as indicated in the different panels
Summary
We present the theoretical framework that we use to obtain our results. We rearrange these formulae, to separate them into the inclusive production of jets and the jet shape itself. The one-loop expressions for the jet function for r R are given in appendix A, and the anomalous dimensions are listed in appendix B
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