Preface

Morte, Michele Della; Fritzsch, Patrick; Sánchez, Elvira Gámiz; Ruano, Carlos Pena

doi:10.1051/epjconf/201817500001

Cited by 2 publications

(3 citation statements)

References 27 publications

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“…1, the DPT expression for the hadronic vacuum polarization function (Eq. (5), solid curve) is in a good agreement with lattice simulation data [67] (circles) (the rescaling procedure described in Refs. [76,82] was applied).…”

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confidence: 80%

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Dispersive approach to QCD and hadronic contributions to electroweak observables

Нестеренко

2017

EPJ Web Conf.

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Abstract. The dispersive approach to QCD is briefly overviewed and its application to the assessment of hadronic contributions to electroweak observables is discussed.Various strong interaction processes, as well as the hadronic contributions to electroweak observables, are governed by the hadronic vacuum polarization function Π(q 2 ), related Adler function D(Q 2 ) [1], and the function R(s), which is identified with the R-ratio of electron-positron annihilation into hadrons. The hadronic vacuum polarization function constitutes the scalar part of the hadronic vacuum polarization tensorwhereas the definition of functions R(s) and D(Q 2 ) is given in Eqs. (3) and (4), respectively. The QCD asymptotic freedom makes it possible to study the high-energy behavior of the functions Π(q 2 ) and D(Q 2 ) directly within perturbation theory. At the same time, the description of the function R(s) additionally requires the use of pertinent dispersion relations, see papers [2-6] and references therein. As for the low-energy hadron dynamics, it can only be accessed within nonperturbative approaches, for instance, analytic gauge-invariant QCD [7][8][9][10] A certain nonperturbative hint about the strong interactions in the infrared domain is provided by the relevant dispersion relations. The latter are widely employed in a variety of issues of contemporary theoretical particle physics, such as, for example, the extension of applicability range of chiral perturbation theory [34,35], the precise determination of parameters of resonances [36], the assessment of the hadronic light-by-light scattering [37], and many others (see, e.g., papers [38][39][40][41][42][43][44][45][46][47][48][49][50][51][52][53][54] and references therein).Basically, the dispersion relations render the kinematic restrictions on pertinent physical processes into the mathematical form and thereby impose stringent intrinsically nonperturbative constraints on the relevant quantities. In particular, the complete set of dispersion relations (see 55,56] a

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confidence: 80%

“…the integral representations (5) (5), solid curve), its massless limit (label APT, dashed curve), perturbative approximation (label PT, dot-dashed curve), and lattice simulation data (Ref. [67], circles).…”

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confidence: 99%

Dispersive approach to QCD and hadronic contributions to electroweak observables

Нестеренко

2017

EPJ Web Conf.

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“…In Eqs. Comparison of the hadronic vacuum polarization functionΠ(Q 2 ) = ∆Π(0, −Q 2 ) with relevant lattice simulation data [14], see Ref. [15] for the details.…”

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confidence: 99%

Inclusive τ lepton hadronic decay in vector and axial-vector channels within dispersive approach to QCD

Нестеренко¹

2016

AIP Conference Proceedings

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The dispersive approach to QCD, which properly embodies the intrinsically nonperturbative constraints originating in the kinematic restrictions on relevant physical processes and extends the applicability range of perturbation theory towards the infrared domain, is briefly overviewed. The study of OPAL (update 2012) and ALEPH (update 2014) experimental data on inclusive τ lepton hadronic decay in vector and axial-vector channels within dispersive approach is presented.

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Preface

Cited by 2 publications

References 27 publications

Dispersive approach to QCD and hadronic contributions to electroweak observables

Dispersive approach to QCD and hadronic contributions to electroweak observables

Inclusive τ lepton hadronic decay in vector and axial-vector channels within dispersive approach to QCD

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