A Precise Determination of \(\alpha_s\) From LEP Thrust Data Using Effective Field Theory
By T. Becher, M. Schwartz. 2008
226 citations recorded by the source corpus.
Starting from a factorization theorem in Soft-Collinear Effective Theory, the thrust distribution in e+e− collisions is calculated including resummation of the next-to-next-to-next-to leading logarithms. This is a significant improvement over previous calculations which were only valid to next-to-leading logarithmic order. The fixed-order expansion of the resummed result approaches the exact fixed-order distribution towards the kinematic endpoint. This close agreement provides a verification of both the effective field theory expression and recently completed next-to-next-to-leading fixed-order event shapes. The resummed distribution is then matched to fixed order, resulting in a distribution valid over a large range of thrust. A fit to ALEPH and OPAL data from LEP 1 and LEP 2 produces αs(mZ) = 0.1172±0.0010±0.0008±0.0012±0.0012, where the uncertainties are respectively statistical, systematic, hadronic, and perturbative. This is one of the world's most precise extractions of αs to date.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/a200baf150019529b363f8fd0d537dea8c0d9e42
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Citations in the corpus
- Erratum: On the structure of infrared singularities of gauge-theory amplitudes (2009, background): “Examples include threshold resummation for deep-inelastic scattering [97], Drell-Yan production [60, 98], Higgs-boson production [61, 99], and the extraction of αs from e +e− → 2 jets [100].”
- Introduction to Soft-Collinear Effective Theory (2014, methodology): “Using the RG methods we discussed in Section 6 the thrust distribution was resummed up to N3LL accuracy in [230], two orders in logarithmic accuracy higher than what had been achieved with traditional methods, and matched to NNLO fixed order results [231, 232].”
- Towards an understanding of jet substructure (2013, background): “[25] observed that for narrow jets the distribution of the N -subjettiness shape variable [26] for 2-body signal decays can be resummed to high accuracy insofar as it is related to the thrust distribution in e+e− [27–30], though for phenomenological purposes this still needs to be supplemented with ”
- Jet substructure at the Large Hadron Collider: A review of recent advances in theory and machine learning (2017, methodology): “With the scaling log(pTJ/mJ) ∼ 1/αs, we have that the resummed expansions include all terms at the follow- 5 ing orders LL : O(α−1s ) NLL : O(1) NNLL : O(αs) NNNLL : O(α2s) (5) Therefore, a LL calculation includes only the most singular terms, namely all terms that scale as O(α−1s ).”
- The full four-loop cusp anomalous dimension in N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{N} $$\end{do (2019, unknown): “This applications range from the extraction of the strong coupling constant from e+ e event shapes [22, 23] to precision observables at hadron colliders like the transverse momentum distribution of electro-weak gauge bosons [24–27].”
- Jet shapes and jet algorithms in SCET (2010, methodology): “An accurate prediction of the tail region requires matching onto a calculation at fixed-order in αs in full QCD as in [36, 45, 46].”
- Phenomenology of event shapes at hadron colliders (2010, methodology): “From a technical point of view, the development of resummations and fixed-order calculations has benefited from comparisons of predictions for event-shape distributions obtained with both kinds of methods [22–29].”