scholarly journals MS charm mass from charmonium sum rules with contour improvement

2004 ◽  
Vol 594 (1-2) ◽  
pp. 127-134 ◽  
Author(s):  
A.H. Hoang ◽  
M. Jamin
Keyword(s):  
Sum Rules ◽  
Charm Mass

scholarly journals The strong coupling from $e^+e^-\to$~hadrons

2019 ◽  
Author(s):  
Diogo Boito ◽  
Maarten Golterman ◽  
Alex Keshavarzi ◽  
Kim Maltman ◽  
Daiskuke Nomura ◽  
...  
Keyword(s):  
Perturbation Theory ◽  
Strong Coupling ◽  
Sum Rules ◽  
Finite Energy ◽  
Order Perturbation ◽  
Decay Data ◽  
Systematic Effects ◽  
Fixed Order ◽  
Charm Mass ◽  
Good Agreement

We use a new compilation of the hadronic RR-ratio from available data for the process e^+e^-\toe+e−→ hadrons below the charm mass to determine the strong coupling \alpha_sαs, using finite-energy sum rules. Quoting our results at the \tauτ mass to facilitate comparison to the results obtained from similar analyses of hadronic \tauτ-decay data, we find \alpha_s(m_\tau^2)=0.298\pm 0.016\pm 0.006αs(mτ2)=0.298±0.016±0.006 in fixed-order perturbation theory, and \alpha_s(m_\tau^2)=0.304\pm 0.018\pm 0.006αs(mτ2)=0.304±0.018±0.006 in contour-improved perturbation theory, where the first error is statistical, and the second error combines various systematic effects. These values are in good agreement with a recent determination from the OPAL and ALEPH data for hadronic \tauτ decays. We briefly compare the R(s)R(s)-based analysis with the \tauτ-based analysis.

Charm mass determination from QCD sum rules at O(α3s)

2012 ◽  
Author(s):  
B. Dehnadi ◽  
A. H. Hoang ◽  
V. Mateu ◽  
S. M. Zebarjad
Keyword(s):  
Sum Rules ◽  
Mass Determination ◽  
Qcd Sum Rules ◽  
Charm Mass

Charm Mass Determination from QCD Sum Rules: A Revision of the Classical Method

2010 ◽  
Vol 50 (1-4) ◽  
pp. 207-209
Author(s):  
V. Mateu ◽  
A. H. Hoang ◽  
B. Dehnadi ◽  
S. M. Zebarjad
Keyword(s):  
Sum Rules ◽  
Classical Method ◽  
Mass Determination ◽  
Qcd Sum Rules ◽  
Charm Mass

scholarly journals Charm mass determination from QCD charmonium sum rules at order $ \alpha_s^3 $

2013 ◽  
Vol 2013 (9) ◽  
Author(s):  
Bahman Dehnadi ◽  
Andre H. Hoang ◽  
Vicent Mateu ◽  
S. Mohammad Zebarjad
Keyword(s):  
Sum Rules ◽  
Mass Determination ◽  
Charm Mass

A Perturbation Theory for the Population of Atomic Energy Levels in Non-Lte Plasmas

1988 ◽  
Vol 102 ◽  
pp. 343-347
Author(s):  
M. Klapisch
Keyword(s):  
Perturbation Theory ◽  
Small Parameter ◽  
Classification Scheme ◽  
Sum Rules ◽  
Energy Levels ◽  
Natural Classification ◽  
Quantum Numbers ◽  
Formal Expansion ◽  
Atomic Energy Levels ◽  
As Effects

AbstractA formal expansion of the CRM in powers of a small parameter is presented. The terms of the expansion are products of matrices. Inverses are interpreted as effects of cascades.It will be shown that this allows for the separation of the different contributions to the populations, thus providing a natural classification scheme for processes involving atoms in plasmas. Sum rules can be formulated, allowing the population of the levels, in some simple cases, to be related in a transparent way to the quantum numbers.

KRAMERS--KRONIG RELATIONS AND SUM RULES.

1972 ◽  
Author(s):  
R Kubo ◽  
M Ichimura
Keyword(s):  
Sum Rules

scholarly journals Consistency of nucleon-transfer sum rules in well-deformed nuclei

2021 ◽  
Vol 103 (2) ◽  
Author(s):  
B. P. Kay ◽  
J. P. Schiffer ◽  
S. J. Freeman ◽  
T. L. Tang ◽  
B. D. Cropper ◽  
...  
Keyword(s):  
Sum Rules ◽  
Deformed Nuclei ◽  
Nucleon Transfer

scholarly journals |Vcb| and γ from B-mixing — Addendum to “Bs mixing observables and |Vtd/Vts| from sum rules”

2020 ◽  
Vol 2020 (3) ◽  
Author(s):  
Daniel King ◽  
Matthew Kirk ◽  
Alexander Lenz ◽  
Thomas Rauh
Keyword(s):  
Sum Rules ◽  
B Mixing

scholarly journals Unitarity in KK-graviton production, a case study in warped extra-dimensions

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
A. de Giorgi ◽  
S. Vogl
Keyword(s):  
Extra Dimensions ◽  
Sum Rules ◽  
Effective Theory ◽  
Higher Dimensional ◽  
Massive Spin ◽  
The Matrix ◽  
Dimensional Gravity ◽  
Warped Extra Dimensions ◽  
Kaluza Klein

Abstract The Kaluza-Klein (KK) decomposition of higher-dimensional gravity gives rise to a tower of KK-gravitons in the effective four-dimensional (4D) theory. Such massive spin-2 fields are known to be connected with unitarity issues and easily lead to a breakdown of the effective theory well below the naive scale of the interaction. However, the breakdown of the effective 4D theory is expected to be controlled by the parameters of the 5D theory. Working in a simplified Randall-Sundrum model we study the matrix elements for matter annihilations into massive gravitons. We find that truncating the KK-tower leads to an early breakdown of perturbative unitarity. However, by considering the full tower we obtain a set of sum rules for the couplings between the different KK-fields that restore unitarity up to the scale of the 5D theory. We prove analytically that these are fulfilled in the model under consideration and present numerical tests of their convergence. This work complements earlier studies that focused on graviton self-interactions and yields additional sum rules that are required if matter fields are incorporated into warped extra-dimensions.

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