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Zero-jettiness soft function to third order in perturbative QCD
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abstract
We present the high-precision result for the zero-jettiness soft function at next-to-next-to-next-to-leading order (N3LO) in perturbative QCD. At this perturbative order, the soft function is the last missing ingredient required for the computation of a hadronic colour singlet production or a colour singlet decay into two jets using the zero-jettiness variable as the slicing parameter. Furthermore, the knowledge of the N3LO soft function enables the re-summed description of the thrust distribution in the process $e^+ e^- \to \textrm{hadrons}$ through next-to-next-to-next-to-leading logarithmic order, which is important for the extraction of the strong coupling constant using this shape variable. On the methodological side, the complexity of the zero-jettiness variable forced us to develop a new semi-analytic method for phase-space integration in the presence of constraints parameterized through Heaviside functions which, hopefully, will be useful for further development of the $N$-jettiness slicing scheme.
Forward citations
Cited by 7 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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Thrust distribution in electron-positron annihilation at full NNNLL+NNLO (and beyond) in QCD
Laplace-space resummation of the thrust distribution at N4LL accuracy yields alpha_S(mZ^2) = 0.1181 +/- 0.0018, consistent with the world average, while physical-space resummation gives a lower value.
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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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Region analysis of $H\to \gamma \gamma $ via a bottom quark loop
A two-loop region analysis of H to gamma gamma via a bottom quark loop shows that with a Delta regulator and a transverse momentum cut, the leading and next-to-leading logarithms come entirely from the soft sector.
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Triple real-emission contribution to the zero-jettiness soft function at N3LO in QCD
The paper provides the technical derivation and cross-checks of the triple-real-emission piece of the N3LO zero-jettiness soft function, confirming the result announced in arXiv:2409.11042.
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Three-loop jet function for boosted heavy quarks
The three-loop inclusive bHQET jet function for boosted heavy quarks is computed analytically, completing the fixed-order ingredients for N3LL' top-mass observables.
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On Determining $\alpha_s(m_Z)$ from Dijets in $e^+e^-$ Thrust
An updated N3LL'+O(alpha_s^3) thrust analysis yields alpha_s(m_Z)=0.1136 +/- 0.0012 from a dijet-restricted global fit, stable under fit-range, gap-scheme, and hadronization-model variations.
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