Meaningful characterisation of perturbative theoretical uncertainties

Cacciari, Matteo; Houdeau, Nicolas

doi:10.1007/jhep09(2011)039

Cited by 88 publications

(164 citation statements)

References 10 publications

Supporting

Mentioning

162

Contrasting

Order By: Relevance

“…Note that a similar problem of choosing a prior for the theoretical uncertainty arises in the Bayesian approach [92,93]. On the one hand the Bayesian approach allows for a choice of priors in general, including the theoretical uncertainty, without having to ask for a statistical interpretation.…”

Section: Theoretical Uncertaintiesmentioning

confidence: 99%

The Higgs legacy of the LHC Run I

Corbett

Éboli

Gonçalves

et al. 2015

J. High Energ. Phys.

127

158

View full text Add to dashboard Cite

Based on Run I data we present a comprehensive analysis of Higgs couplings. For the first time this SFitter analysis includes independent tests of the Higgs-gluon and top Yukawa couplings, Higgs decays to invisible particles, and off-shell Higgs measurements. The observed Higgs boson is fully consistent with the Standard Model, both in terms of coupling modifications and effective field theory. Based only on Higgs total rates the results using both approaches are essentially equivalent, with the exception of strong correlations in the parameter space induced by effective operators. These correlations can be controlled through additional experimental input, namely kinematic distributions. Including kinematic distributions the typical Run I reach for weakly interacting new physics now reaches 300 to 500 GeV.

show abstract

Section: Theoretical Uncertaintiesmentioning

confidence: 99%

The Higgs legacy of the LHC Run I

Corbett

Éboli

Gonçalves

et al. 2015

J. High Energ. Phys.

127

158

View full text Add to dashboard Cite

show abstract

“…The traditional way for estimating theoretical uncertainties associated to collider physics is based on the notion of QCD (factorization and renormalization) scale variation [11,12]. However, it is well known that there are several examples in the literature where the QCD scale uncertainty of the nth order overestimates the (n + 1)th order.…”

Section: Theoretical Accuracymentioning

confidence: 99%

“…In this context it is worth noting the original proposal made in Ref. [12] which is based on the introduction of a flat (uninformative) Bayesian prior.…”

Section: Theoretical Accuracymentioning

confidence: 99%

“…[12]: the prior, however, requires scanning over T , the discrete (finite) set of different approximants. Therefore, the new proposal is to parametrize the effect of MHO by using a single, continuous, variable for which we consider the parameter entering shifted sequence transformations.…”

Section: Pos(radcor 2013)049mentioning

confidence: 99%

“…We can define the corresponding (MHOU) pdf by following again the work of Ref. [12]; however, the natural variable that should enter the formal uninformative prior is η = σ gg (β ) σ S,3|3 gg − 1 (2.14)…”

Section: Pos(radcor 2013)049mentioning

confidence: 99%

See 2 more Smart Citations

Higgs precision physics: the next step

Passarino¹

2014

Proceedings of 11th International Symposium on Radiative Corrections (Applications of Quantum Field Theory to Phenomenology) —

View full text Add to dashboard Cite

show abstract

Recent Progress in Few-Body Physics

Davoudi

2020

Springer Proceedings in Physics

View full text Add to dashboard Cite

One of the key challenges in ab initio nuclear theory is to understand the emergence of nuclear structure from quantum chromodynamics. I will address this challenge and focus on the statistical aspects of uncertainty quantification and parameter estimation in chiral effective field theory. It is well-known that quantum chromodynamics (QCD) is non-perturbative in the low-energy region where atomic nuclei exist. This feature prevents us from direct application of perturbation theory. To make progress, two complementary approaches are presently employed; lattice QCD (LQCD) [1] and chiral effective field theory (χ EFT) [2]. The former amounts to numerical evaluation of the QCD path integral on a space-time lattice, while the latter is aimed at exploiting the decoupling principles of the renormalization group (RG) to systematically formulate a potential description of the nuclear interaction rooted in QCD. LQCD is a computationally expensive approach that requires at least exascale resources for a realistic analysis of multinucleon systems, and will most likely not be the most economical choice for analyzing nuclear systems. Nevertheless, in cases where numerically converged results can be obtained, LQCD offers a unique computational laboratory for theoretical studies of QCD in a low-energy setting [3]. The derivation of a nuclear potential in χ EFT proceeds via the construction of an effective Lagrangian consisting of pions, nucleons, sometimes also the Δ isobar, endowed with all possible interactions compatible with the symmetries of low-energy QCD. The details can be found in extensive reviews [4-6]. All short-distance physics, normally associated with quarks and gluons, reside beyond a hard momentum scale Λ b ∼ 1 GeV, that remains unresolved in χ EFT. Such high-momentum dynamics is instead encoded in a set of low-energy constants (LECs) that must be determined from experimental data, or in a future scenario hopefully computed directly from LQCD. χ EFT is the theoretical framework to calculate observables in an expan

show abstract

Meaningful characterisation of perturbative theoretical uncertainties

Cited by 88 publications

References 10 publications

The Higgs legacy of the LHC Run I

The Higgs legacy of the LHC Run I

Higgs precision physics: the next step

Recent Progress in Few-Body Physics

Contact Info

Product

Resources

About