Precise Determination of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>f</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mn>600</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>f</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mn>980</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math>Pole Parameters

García‐Martín, R.; Kamiński, R.; Peláez, J. R.; Elvira, J. Ruiz de

doi:10.1103/physrevlett.107.072001

Cited by 246 publications

(375 citation statements)

References 66 publications

(52 reference statements)

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“…As expected, there is good agreement throughout, apart from the fact that the IAM I = 0 phase shift avoids the rise related to the f 0 (980) and the coupling to theKK channel. We also checked that the σ properties [126] are reproduced: for the pole position we find √ s σ = (0.443 + i0.217) GeV, to be compared to √ s σ = (0.441 + i0.272) GeV [127] and similar numbers from other recent dispersive extractions [118,128]. Accordingly, the width comes out a bit too low, as does the residue at the pole g σππ .…”

Section: Jhep04(2017)161mentioning

confidence: 92%

Dispersion relation for hadronic light-by-light scattering: two-pion contributions

Colangelo

Hoferichter

Procura

et al. 2017

J. High Energ. Phys.

372

257

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In this third paper of a series dedicated to a dispersive treatment of the hadronic light-by-light (HLbL) tensor, we derive a partial-wave formulation for two-pion intermediate states in the HLbL contribution to the anomalous magnetic moment of the muon (g − 2) µ , including a detailed discussion of the unitarity relation for arbitrary partial waves. We show that obtaining a final expression free from unphysical helicity partial waves is a subtle issue, which we thoroughly clarify. As a by-product, we obtain a set of sum rules that could be used to constrain future calculations of γ * γ * → ππ. We validate the formalism extensively using the pion-box contribution, defined by two-pion intermediate states with a pion-pole left-hand cut, and demonstrate how the full known result is reproduced when resumming the partial waves. Using dispersive fits to high-statistics data for the pion vector form factor, we provide an evaluation of the full pion box, a π-box µ = −15.9(2)×10 −11 . As an application of the partial-wave formalism, we present a first calculation of ππ-rescattering effects in HLbL scattering, with γ * γ * → ππ helicity partial waves constructed dispersively using ππ phase shifts derived from the inverse-amplitude method. In this way, the isospin-0 part of our calculation can be interpreted as the contribution of the f 0 (500) to HLbL scattering in (g − 2) µ . We argue that the contribution due to charged-pion rescattering implements corrections related to the corresponding pion polarizability and show that these are moderate. Our final result for the sum of pion-box contribution and its S-wave rescattering corrections reads a π-box µ + a ππ,π-pole LHC µ,J=0 = −24(1) × 10 −11 .

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Section: Jhep04(2017)161mentioning

confidence: 92%

Dispersion relation for hadronic light-by-light scattering: two-pion contributions

Colangelo

Hoferichter

Procura

et al. 2017

J. High Energ. Phys.

372

257

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“…It is worth mentioning here that, in general, the pattern of applications of the dispersion relations in theoretical particle physics is quite diverse. For example, among the latter are such issues as the refinement of chiral perturbation theory [13][14][15][16][17][18][19][20], the accurate determination of parameters of resonances [21][22][23][24], the assessment of the hadronic light-by-light scattering [25][26][27][28][29][30], as well as many others.…”

Section: R-ratio Of Electron-positron Annihilation Into Hadronsmentioning

confidence: 99%

Electron–positron annihilation into hadrons at the higher-loop levels

Нестеренко

2017

Eur. Phys. J. C

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The strong corrections to the R-ratio of electronpositron annihilation into hadrons are studied at the higherloop levels. Specifically, the derivation of a general form of the commonly employed approximate expression for the Rratio (which constitutes its truncated re-expansion at high energies) is delineated, the appearance of the pertinent π 2 -terms is expounded, and their basic features are examined. It is demonstrated that the validity range of such approximation is strictly limited to √ s/Λ > exp(π/2) 4.81 and that it converges rather slowly when the energy scale approaches this value. The spectral function required for the proper calculation of the R-ratio is explicitly derived and its properties at the higher-loop levels are studied. The developed method of calculation of the spectral function enables one to obtain the explicit expression for the latter at an arbitrary loop level. By making use of the derived spectral function the proper expression for the R-ratio is calculated up to the five-loop level and its properties are examined. It is shown that the loop convergence of the proper expression for the R-ratio is better than that of its commonly employed approximation. The impact of the omitted higher-order π 2 -terms on the latter is also discussed.

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“…The Breit-Wigner distribution is not accurate enough for so wide resonances as σ. However, the width of the σ can be obtained from the derivative of the experimental ππ phase shift, that we take from [28]. It has attractive (0;0) and repulsive (2;0) isospin-spin channel.…”

Section: Icnfp 2015mentioning

confidence: 99%

High temperature Bose-Einstein condensation

Begun

2016

EPJ Web Conf.

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Abstract. The indications of a possible pion condensation at the LHC are summarized. The condensation is predicted by the non-equilibrium hadronization model for 2.76 TeV Pb+Pb collisions at the LHC. The model solves the proton/pion puzzle and reproduces the low p T enhancement of the pion spectra, as well as the spectra of protons and antiprotons, charged kaons, K 0 S , K * (892) 0 and φ(1020). The obtained parameters allow to estimate the amount of pion condensate on the level of 5% from the total number of pions at the LHC.

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Precise Determination of thef0(600)andf0(980)Pole Parameters

Cited by 246 publications

References 66 publications

Dispersion relation for hadronic light-by-light scattering: two-pion contributions

Dispersion relation for hadronic light-by-light scattering: two-pion contributions

Electron–positron annihilation into hadrons at the higher-loop levels

High temperature Bose-Einstein condensation

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