Nonrenormalization Theorem for the Strangeness-Violating Vector Currents

Ademollo, M.; Gatto, R.

doi:10.1103/physrevlett.13.264

Cited by 671 publications

(468 citation statements)

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“…By the Ademollo-Gatto theorem [8], the symmetry relation f + (0) = 1 is violated by terms of order m 2 s , and we see these percent-level deviations in the predictions (2.8). Uncertainties on (2.8) are even smaller, perhaps a few parts per 10 3 .…”

Section: Using the Dispersion Relations And χPtmentioning

confidence: 82%

Consistency constraints on ms from QCD dispersion relations and chiral perturbation theory in Kℓ3 decays

Lebed

Schilcher

1998

Physics Letters B

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We use both old and new theoretical developments in QCD dispersion relation constraints on the scalar form factor in the decay K → πℓν ℓ to obtain constraints on the strange quark mass. The perturbative QCD side of the calculation incorporates up to four-loop corrections, while the hadronic side uses a recently developed parameterization constructed explicitly to satisfy the dispersive constraints. Using chiral perturbation theory (χPT) as a model for soon-to-be measured data, we find a series of lower bounds on m s increasing with the accuracy to which one believes χPT to represent the full QCD result.11.55. Fv, 13.20.Eb, 12.15.Ff, 12.39.Fe Typeset using REVT E X * lebed@jlab.org † Permanent address:

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Section: Using the Dispersion Relations And χPtmentioning

confidence: 82%

Consistency constraints on ms from QCD dispersion relations and chiral perturbation theory in Kℓ3 decays

Lebed

Schilcher

1998

Physics Letters B

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“…In the SM the corrections to the predictions of the CVC hypothesis, g V = 1, f 2 = (κ p − κ n )/2, and f 3 = 0 are parametrically known to be of O(m d − m u ) 2 [65] for g V and of O(m d − m u ) for f 2 and f 3 . The coupling g 2 does not vanish under CVC, but rather from its G-parity properties; it, too, is nominally nonzero at…”

Section: Survey Of Theoretical Uncertaintiesmentioning

confidence: 99%

Framework for maximum likelihood analysis of neutronβdecay observables to resolve the limits of theV−Alaw

Gardner

Plaster

2013

Phys. Rev. C

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We assess the ability of future neutron β decay measurements of up to O(10 −4 ) precision to falsify the standard model, particularly the V − A law, and to identify the dynamics beyond it. To do this, we employ a maximum likelihood statistical framework which incorporates both experimental and theoretical uncertainties. Using illustrative combined global fits to Monte Carlo pseudodata, we also quantify the importance of experimental measurements of the energy dependence of the angular correlation coefficients as input to such efforts, and we determine the precision to which ill-known "second-class" hadronic matrix elements must be determined in order to exact such tests.

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“…Consequently, f K − should be a sensitive gauge of SU (3)-breaking. It is notable, too, that away from the SU (3)-flavour symmetry limit the Ademollo-Gatto theorem ensures [f K + (0)] 2 ≈ 1 [40]. A consideration of contemporary theoretical estimates [2] indicates…”

Section: A Definitionsmentioning

confidence: 99%

Features and flaws of a contact interaction treatment of the kaon

et al. 2013

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Elastic and semileptonic transition form factors for the kaon and pion are calculated using the leading-order in a global-symmetry-preserving truncation of the Dyson-Schwinger equations and a momentum-independent form for the associated kernels in the gap and Bethe-Salpeter equations. The computed form factors are compared both with those obtained using the same truncation but an interaction that preserves the one-loop renormalisation-group behaviour of QCD and with data. The comparisons show that: in connection with observables revealed by probes with |Q 2 | M 2 , where M ≈ 0.4 GeV is an infrared value of the dressed-quark mass, results obtained using a symmetry-preserving regularisation of the contact-interaction are not realistically distinguishable from those produced by more sophisticated kernels; and available data on kaon form factors do not extend into the domain whereupon one could distinguish between the interactions. The situation is different if one includes the domain Q 2 > M 2 . Thereupon, a fully consistent treatment of the contact interaction produces form factors that are typically harder than those obtained with QCD renormalisation-group-improved kernels. Amongst other things also described are a Ward identity for the inhomogeneous scalar vertex, similarity between the charge distribution of a dressed-u-quark in the K + and that of the dressed-u-quark in the π + , and reflections upon the point whereat one might begin to see perturbative behaviour in the pion form factor. Interpolations of the form factors are provided, which should assist in working to chart the interaction between light-quarks by explicating the impact on hadron properties of differing assumptions about the behaviour of the Bethe-Salpeter kernel.

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Nonrenormalization Theorem for the Strangeness-Violating Vector Currents

Cited by 671 publications

References 9 publications

Consistency constraints on ms from QCD dispersion relations and chiral perturbation theory in Kℓ3 decays

Consistency constraints on ms from QCD dispersion relations and chiral perturbation theory in Kℓ3 decays

Framework for maximum likelihood analysis of neutronβdecay observables to resolve the limits of theV−Alaw

Features and flaws of a contact interaction treatment of the kaon

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