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NNLL Resummation of Sudakov Shoulder Logarithms in the Heavy Jet Mass Distribution
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abstract
The heavy jet mass event shape has large perturbative logarithms near the leading order kinematic threshold at $\rho = \frac{1}{3}$. Catani and Webber named these logarithms Sudakov shoulders and resummed them at double-logarithmic level. A resummation to next-to-leading logarithmic level was achieved recently. Here, we extend the resummation using an effective field theory framework to next-to-next-to-leading logarithmic order and show how to combine it with the resummation of dijet logarithms. We also solve the open problem of an unphysical singularity in the resummed momentum space distribution, in a way similar to how it is resolved in the Drell-Yan $q_T$ spectrum: through a careful analysis of the kinematics and scale-setting in position space. The heavy jet mass Sudakov shoulder is the first observable that does not involve transverse momentum for which position space resummation is critical. These advances may lead to a more precise extraction of the strong coupling constant from $e^+ e^-$ data.
Forward citations
Cited by 4 Pith papers
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Precision $e^+e^-$ Hemisphere Masses in the Dijet Region with Power Corrections
N3LL' resummation for heavy jet and dihemisphere masses in the dijet region, with a new claim that heavy jet mass moments require an extra non-perturbative parameter at order 1/Q.
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Heavy Jet Mass in Hadronic Higgs Decays
Heavy jet mass in hadronic Higgs decays is predicted at N³LL′ (dijet) plus NNLL (Sudakov shoulder) plus NNLO, with new analytic trijet-region logarithms for H→gg and H→q̄q.
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Precise Predictions for Event Shapes in Hadronic Higgs Decays
First NNLO QCD predictions for six classical event-shape distributions and soft-drop thrust in hadronic Higgs decays, for both H to b bbar and H to gg channels.
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Fits of $\alpha_s$ from event-shapes in the three-jet region: extension to all energies
The strong coupling at the Z mass is measured as 0.1181 from event-shape distributions using three-jet power corrections, with hadron-mass scheme ambiguity as the largest uncertainty.
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