One loop predictions for the pion VFF in Resonance Chiral Theory

Sanz-Cillero, Juan José

doi:10.1063/1.3536542

Cited by 3 publications

(8 citation statements)

References 37 publications

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“…We would like to note that in this article we have considered for the first time the axialvector-tensor interaction within the Resonance Chiral Theory approach, extending the work of Ecker and Zauner on tensors [40]. We plan to include vector-tensor interactions in a similar way in a future paper [46] dedicated to the study of the e + e − → a 2 π process.…”

Section: Discussionmentioning

confidence: 99%

“…This article is only a preliminary illustration of our resonance chiral Lagrangian approach. A more thorough numerical analysis is postponed for a future work [45]. In order to obtain a good fit to the BaBar data, we will probably need not only the one-dimensional distributions but also the Dalitz plot.…”

Section: Discussionmentioning

confidence: 99%

“…No large unwanted deviation from data occurs, being these values an appropriate starting point for a more detailed study. The tuning of our model parameters and the fitting to the data will be done in a future work [45].…”

Section: Neventmentioning

confidence: 99%

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Refining the scalar and tensor contributions in τ → πππντ decays

Sanz-Cillero

Shekhovtsova

2017

J. High Energ. Phys.

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Abstract:In this article we analyze the contribution from intermediate spin-0 and spin-2 resonances to the τ → νπππ decay by means of a chiral invariant Lagrangian incorporating these mesons. In particular, we study the corresponding axial-vector form-factors. The advantage of this procedure with respect to previous analyses is that it incorporates chiral (and isospin) invariance and, hence, the partial conservation of the axial-vector current. This ensures the recovery of the right low-energy limit, described by chiral perturbation theory, and the transversality of the current in the chiral limit at all energies. Furthermore, the meson form-factors are further improved by requiring appropriate QCD high-energy conditions. We end up with a brief discussion on its implementation in the Tauola Monte Carlo and the prospects for future analyses of Belle's data.

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

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Refining the scalar and tensor contributions in τ → πππντ decays

Sanz-Cillero

Shekhovtsova

2017

J. High Energ. Phys.

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“…In this talk 1 we discuss the results from a previous work on SS-PP correlator [1] together with some new estimates for the OZI suppressed difference of the SU(3) singlet and octet scalar correlators (S 1 S 1 − S 8 S 8 ) [2]. We will work with a chiral invariant action for the chiral pseudo-Goldstones and the meson resonances, namely, resonance chiral theory (RχT) [3,4].…”

Section: Introductionmentioning

confidence: 98%

“…We will work with a chiral invariant action for the chiral pseudo-Goldstones and the meson resonances, namely, resonance chiral theory (RχT) [3,4]. The large-N C limit and the 1/N C expansion are taken as guiding principles to sort out the different contributions [5], being the leading order (LO) provided by the tree-level diagrams and the meson loops suppressed by 1/N C [5][6][7]. This framework ensures the proper recovery of chiral perturbation theory (χPT) at long distances [8].…”

Section: Introductionmentioning

confidence: 99%

Scalar and pseudoscalar correlators in Resonance Chiral Theory

Sanz-Cillero¹

2010

Nuclear Physics B - Proceedings Supplements

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The SU(3) octet SS-PP correlator and the difference of the singlet and octet scalar correlators are computed within Resonance Chiral Theory. The calculation is carried on up to the one-loop level, i.e., up to next-to-leading order in the 1/Nc expansion. Using the resonance expressions as interpolators between long and short distances, we demand the correlators to follow the high-energy power behavior prescribed by the operator product expansion and extract predictions for the low-energy constants. By adding more and more complicated operators to the hadronic action, our description is progressively improved, producing for the SS-PP correlator the chiral coupling estimates L_8(mu) = (1.0+- 0.4) 10^{-3} and C_{38}(mu) = (8+- 5) 10^{-6} for mu=770 MeV. Some first results for the S1 S1 - S8 S8 correlator are shown, like, for instance, the positivity of the spectral function for two-meson cuts, the high-energy constraints for each separate scalar form-factor and preliminary expressions for the L_6(mu) low-energy constant.Comment: 4 pages. Talk given at QCD'10 (25th anniversary) -15th International QCD Conference-, 28th June - 3rd July 2010 Montpellier (France

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Renormalization group equations in resonance chiral theory

Sanz-Cillero

2009

Physics Letters B

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The use of the equations of motion and meson field redefinitions allows the development of a simplified resonance chiral theory lagrangian: terms including resonance fields and a large number of derivatives can be reduced into corresponding O(p2) resonance operators, containing the lowest possible number of derivatives. This is shown by means of the explicit computation of the pion vector form-factor up to next-to-leading order in 1/Nc. The study of the renormalization group equations for the corresponding couplings demonstrates the existence of an infrared fixed point in the resonance theory. The possibility of developing a perturbative 1/Nc expansion in the slow running region around the fixed point is shown here.Comment: 6 pages, 3 figures. Final version as published. References added. Extended explanations. The interrelation between the IR fixed point and the UV constraints has been further studie

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One loop predictions for the pion VFF in Resonance Chiral Theory

Cited by 3 publications

References 37 publications

Refining the scalar and tensor contributions in τ → πππντ decays

Refining the scalar and tensor contributions in τ → πππντ decays

Scalar and pseudoscalar correlators in Resonance Chiral Theory

Renormalization group equations in resonance chiral theory

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