# An analysis of Bayesian estimates for missing higher orders in perturbative calculations

@article{Duhr2021AnAO,
title={An analysis of Bayesian estimates for missing higher orders in perturbative calculations},
author={Claude Duhr and Alexander Huss and Aleksas Mazeliauskas and Robert Szafron},
journal={Journal of High Energy Physics},
year={2021},
volume={2021}
}
• Published 8 June 2021
• Computer Science
• Journal of High Energy Physics
With current high precision collider data, the reliable estimation of theoretical uncertainties due to missing higher orders (MHOs) in perturbation theory has become a pressing issue for collider phenomenology. Traditionally, the size of the MHOs is estimated through scale variation, a simple but ad hoc method without probabilistic interpretation. Bayesian approaches provide a compelling alternative to estimate the size of the MHOs, but it is not clear how to interpret the perturbative scales…
14 Citations
• Mathematics
• 2022
In addition to the evaluation of high-order loop contributions, the precision and predictive power of perturbative QCD (pQCD) predictions depends on two important issues: (1) how to achieve a
• Physics
Journal of High Energy Physics
• 2023
We present the MCscales approach for incorporating scale uncertainties in parton distribution functions (PDFs). The new methodology builds on the Monte Carlo sampling for propagating experimental
• Physics
• 2022
The intrinsic conformality is a general property of the renormalizable gauge theory, which ensures the scale-invariance of a ﬁxed-order perturbative series at each perturbative order. In the paper,
• Physics
• 2022
A comprehensive uncertainty estimation is vital for the precision program of the LHC. While experimental uncertainties are often described by stochastic processes and well-defined nuisance
• Physics
Journal of Physics G: Nuclear and Particle Physics
• 2023
The intrinsic conformality is a general property of the renormalizable gauge theory, which ensures the scale-invariance of a fixed-order perturbative series at each perturbative order. In the
• Physics
• 2022
We demonstrate that ab-initio calculations in QCD at high densities oﬀer signiﬁcant and nontriv-ial information about the equation of state of matter in the cores of neutron stars, going beyond that
• Physics
• 2022
The LHC experiments will achieve percent level precision measurements of processes key to some of the most pressing questions of contemporary particle physics: What is the nature of the Higgs boson?
• Physics
Journal of High Energy Physics
• 2022
We present the leading-color two-loop QCD corrections for the scattering of four partons and a W boson, including its leptonic decay. The amplitudes are assembled from the planar two-loop helicity
• Physics
• 2022
Drell-Yan production is one of the precision cornerstones of the LHC , serving as calibration for measurements such as the W -boson mass. Its extreme precision at the level of 1% challenges theory

## References

SHOWING 1-10 OF 146 REFERENCES

• Physics
• 2014
A bstractWe consider two approaches to estimate and characterise the theoretical uncertainties stemming from the missing higher orders in perturbative calculations in Quantum Chromodynamics: the
• M. Bonvini
• Computer Science
The European Physical Journal C
• 2020
This work proposes an improved version of the Cacciari–Houdeau model, that overcomes some limitations, and proposes an alternative model based on the same idea of scale variation, which overcomesSome of the shortcomings of the canonical approach, on top of providing a probabilistically-sound result.
• Physics
The European Physical Journal C
• 2019
We formulate a general approach to the inclusion of theoretical uncertainties, specifically those related to the missing higher order uncertainty (MHOU), in the determination of parton distribution
• Physics
• 2017
Chiral effective field theory (EFT) predictions are necessarily truncated at some order in the EFT expansion, which induces an error that must be quantified for robust statistical comparisons to
• Physics
• 2011
We consider the problem of assigning a meaningful degree of belief to uncertainty estimates of perturbative series. We analyse the assumptions which are implicit in the conventional estimates made
• Mathematics
• 2015
Bayesian procedures designed to quantify truncation errors in perturbative calculations of quantum chromodynamics observables are adapted to expansions in effective field theory (EFT). In the
• Physics
Physical Review D
• 2019
In any calculation in perturbative Quantum Chromodynamics (QCD) a choice needs to be made for the unphysical renormalisation scale, $\mu_R$. The Brodsky-Lepage-Mackenzie/Principle of Maximum
• Physics
Nuclear and Particle Physics Proceedings
• 2020
A bstractPerturbative QCD corrections to hadronic τ decays and e+e− annihilation into hadrons below charm are obtained from the Adler function, which at present is known in the chiral limit to
• Physics
• 2019
In any calculation in perturbative Quantum Chromodynamics (QCD) a choice needs to be made for the unphysical renormalisation scale, $\mu_R$. The Brodsky-Lepage-Mackenzie/Principle of Maximum