Optimal-transport couplings are used to construct confidence intervals that reduce coverage error relative to classical quantile-based intervals, with consistency theory and data-driven hyperparameters.
Heavy-quark pair production at lepton colliders at NNNLO in QCD
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abstract
We compute the total cross-section and invariant mass distribution for heavy-quark pair production in $e^+e^-$ annihilation at the next-to-next-to-next-to-leading order in QCD. The obtained results are expressed as piecewise functions defined by several deeply expanded power series, facilitating a rapid numerical evaluation. Utilizing top-pair production at a collision energy of 500 GeV as a benchmark, we observe a correction of approximately $0.1\%$ for the total cross-section and around $10\%$ for the majority of the invariant mass distribution range. These results play a crucial role in significantly reducing theoretical uncertainty: the scale dependence has been diminished to $0.06\%$ for the total cross-section and to $5\%$ for the invariant mass distribution. This reduction of uncertainty meets the stringent requirements of future lepton colliders.
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An Optimal Transportation Approach for Improved Confidence Intervals
Optimal-transport couplings are used to construct confidence intervals that reduce coverage error relative to classical quantile-based intervals, with consistency theory and data-driven hyperparameters.