Two-Jet Rate in e^{+}e^{-} at Next-to-Next-to-Leading-Logarithmic Order.

Andrea Banfi,Pier Francesco Monni,Heather Mcaslan,Giulia Zanderighi

doi:10.1103/physrevlett.117.172001

Andrea Banfi, Pier Francesco Monni + Show 2 more

Open Access

https://doi.org/10.1103/physrevlett.117.172001

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Abstract

We present the first next-to-next-to-leading-logarithmic resummation for the two-jet rate in e^{+}e^{-} annihilation in the Durham and Cambridge algorithms. The results are obtained by extending the ares method to observables involving any global, recursively infrared and collinear safe jet algorithm in e^{+}e^{-} collisions. As opposed to other methods, this approach does not require a factorization theorem for the observables. We present predictions matched to next-to-next-to-leading order and a comparison to LEP data.

Highlights

Jet rates and event shapes in electron-positron collisions played a crucial role in establishing QCD as the theory of strong interactions; see, e.g., [1,2]
We present an extension of the above method to jet observables and apply it to the two-jet rate in the Durham and Cambridge algorithms
The function F next-toleading logarithms (NLL) is the only NLL correction to the radiator, and it is defined in terms of soft and collinear gluons independently emitted off the hard legs and widely separated same in rapidity

Summary

Introduction

Jet rates and event shapes in electron-positron collisions played a crucial role in establishing QCD as the theory of strong interactions; see, e.g., [1,2]. We present the first next-to-next-to-leading-logarithmic resummation for the two-jet rate in eþe− annihilation in the Durham and Cambridge algorithms. We present an extension of the above method to jet observables and apply it to the two-jet rate in the Durham and Cambridge algorithms.

Results

Conclusion