Precision tests of the Standard Model with leptonic and semileptonic kaon decays

Sciascia, B.

doi:10.1016/j.nuclphysbps.2008.09.008

Cited by 48 publications

(20 citation statements)

References 59 publications

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“…Column 5: Some empirical values inferred using Refs. [2,39,42]: the widths correspond to 7.926±0.032×10 6 /s and 5.285 ± 0.022 × 10 6 /s. The λ-parameters are defined in Eqs.…”

Section: Kaon Longitudinal Transition Form Factormentioning

confidence: 95%

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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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“…Column 5: Some empirical values inferred using Refs. [2,39,42]: the widths correspond to 7.926±0.032×10 6 /s and 5.285 ± 0.022 × 10 6 /s. The λ-parameters are defined in Eqs.…”

Section: Kaon Longitudinal Transition Form Factormentioning

confidence: 95%

“…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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“…2, the constraint (44) is represented together with experimental points from [4,8,9,[12][13][14][15], where we have extracted the corresponding curvature from the constrained fit given in [13]. We note that, except the results from NA48 and KLOE, which have curvatures slightly larger than the allowed values, the experimental data satisfy the constraints.…”

Section: Constraints On the Expansion Coefficientsmentioning

confidence: 99%

Improving the phenomenology ofKl3form factors with analyticity and unitarity

Abbas

Ananthanarayan²,

Caprini³

et al. 2010

Phys. Rev. D

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The shape of the vector and scalar K ℓ3 form factors is investigated by exploiting analyticity and unitarity in a model-independent formalism. The method uses as input dispersion relations for certain correlators computed in perturbative QCD in the deep Euclidean region, soft-meson theorems, and experimental information on the phase and modulus of the form factors along the elastic part of the unitarity cut. We derive constraints on the coefficients of the parameterizations valid in the semileptonic range and on the truncation error. The method also predicts low-energy domains in the complex t-plane where zeros of the form factors are excluded. The results are useful for K ℓ3 data analyses and provide theoretical underpinning for recent phenomenological dispersive representations for the form factors.

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“…The former is presently calculated to 1% to 1.5% accuracy using several choices of lattice fermion, the latter to about 0.5%. (For a recent compilation of lattice results, see [Sciascia et al 2008;Artuso et al 2008]). These are in striking distance of corresponding experimental errors, which are presently 0.3% and 0.4%, respectively.…”

Section: Kaon Physics and First-row Unitaritymentioning

confidence: 99%

Scientific Challenges for Understanding the Quantum Universe

Khaleel¹

2009

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The scientific grand challenges for this field are described in several publications, including the High Energy Physics Advisory Panel's (HEPAP) Quantum Universe report and the P5 subcommittee's Long Range Plan for Particle Physics in the United States. From these, the following fundamental questions are posed: What are the main features of physics Beyond the Standard Model? These can be sought by exploring physics at high energy using the Large Hadron Collider (LHC), by seeking small departures from predictions made assuming Standard Model physics for interactions at lower energy, or by exploring physics with neutrinos. What is the identity of dark matter and how does large scale structure develop in the expanding universe? The prime dark matter candidate is a supersymmetric particle, but less massive particles called axions may also be involved. The primordial fluctuations out of which contemporary largescale structure grew may provide a window on fundamental processes occurring during the epoch of inflation. What are the empirical properties of dark energy and what do they imply about its nature? Present evidence involving observations of supernova explosions and the growth of perturbations in the expanding universe is consistent with it having the properties of Einstein's cosmological constant.Departures from this behavior may signify the presence of new physics operating over cosmological scales. What are the reasons for and implications of neutrino masses? The measured properties of neutrinos provide an existence proof for important physics Beyond the Standard Model (BSM) but may also lead to an explanation of why there is a net preponderance of matter over anti-matter. Astrophysical arguments also contribute to the answer. Are there extra dimensions beyond the three spatial and single temporal dimensions familiar from everyday experience? These may have tiny length scales as suggested by string theory or may have macroscopic scales that can lead to a weakening of the law of gravity. How do Nature's particle accelerators operate in extreme environments? Ultra high energy cosmic rays are accelerated by cosmic sources possibly associated with massive black holes to energies as high as 1 ZeV. When these cosmic rays hit the Earth's atmosphere, they do so with center of momentum energies in excess of 100 TeV. While we can observe cataclysmic events such as a supernova explosion or the collapse of a massive star into a black hole from a vast distance, these involve phenomena that can never be reproduced in a terrestrial laboratory. However, it becomes increasingly possible to recreate these conditions in a digital universe where important questions can be asked and alternatives explored.The planning and design of the International Linear Collider (ILC) is critical for the next step in high energy physics. How can we be certain that this expensive machine will work when it is turned on? Instead of building a series of increasingly costly prototypes, accelerator physicists turn with increasing sophistication...

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Precision tests of the Standard Model with leptonic and semileptonic kaon decays

Cited by 48 publications

References 59 publications

Features and flaws of a contact interaction treatment of the kaon

Features and flaws of a contact interaction treatment of the kaon

Improving the phenomenology ofKl3form factors with analyticity and unitarity

Scientific Challenges for Understanding the Quantum Universe

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