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Two-Loop Soft Corrections and Resummation of the Thrust Distribution in the Dijet Region
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abstract
The thrust distribution in electron-positron annihilation is a classical precision QCD observable. Using renormalization group (RG) evolution in Laplace space, we perform the resummation of logarithmically enhanced corrections in the dijet limit, $T\to 1$ to next-to-next-to-leading logarithmic (NNLL) accuracy. We independently derive the two-loop soft function for the thrust distribution and extract an analytical expression for the NNLL resummation coefficient $g_3$. To combine the resummed expressions with the fixed-order results, we derive the $\log(R)$-matching and $R$-matching of the NNLL approximation to the fixed-order NNLO distribution.
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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Centauric 1-Jettiness in DIS and Universal Power Corrections
Introduces Centauric 1-jettiness in DIS, derives N3LL resummation matched to NLO, and establishes universal non-perturbative power corrections scaling as 1/R via reduction to rescaled hemisphere soft function.
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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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A thrust to trust minimum thrust
The exact minimum thrust for five particles in 3D is given by a closed algebraic expression, and improved estimates for up to 20 particles are obtained numerically.
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