Global fit of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>π</mml:mi><mml:mi>π</mml:mi></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>π</mml:mi><mml:mi>K</mml:mi></mml:math>elastic scattering in chiral perturbation theory with dispersion relations

Dobado, Antonio; Peláez, J. R.

doi:10.1103/physrevd.47.4883

Cited by 190 publications

(209 citation statements)

References 45 publications

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“…Furthermore, the input on γ * γ ( * ) → ππ is available in the form of helicity partial waves: these are in principle observable quantities, even though given the absence of double-virtual data they will have to be reconstructed dispersively by means of the solution of a system of Roy-Steiner equations [28,31,55]. In section 4, we will provide a first estimate of the two-pion rescattering contribution by solving the Roy-Steiner equations for S-waves, using a pion-pole LHC and ππ phase shifts based on the inverse-amplitude method [64][65][66][67][68][69].…”

Section: Helicity Amplitudes and Partial-wave Expansionmentioning

confidence: 99%

See 1 more Smart Citation

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

Colangelo

Hoferichter

Procura

et al. 2017

J. High Energ. Phys.

362

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: Helicity Amplitudes and Partial-wave Expansionmentioning

confidence: 99%

“…4.1 γ * γ * → ππ helicity partial waves from the inverse-amplitude method Unitarization within the inverse-amplitude method (IAM) [64][65][66][67][68][69] is based on the observation that elastic unitarity…”

Section: Jhep04(2017)161mentioning

confidence: 99%

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

Colangelo

Hoferichter

Procura

et al. 2017

J. High Energ. Phys.

362

257

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“…In refs. [40][41][42][43][44], the inverse amplitude method (IAM) was proposed and adopted to study the ππ and Kπ scattering. For the purpose of comparison, both the two approaches will be employed.…”

Section: Jhep11(2015)058mentioning

confidence: 99%

One-loop analysis of the interactions between charmed mesons and Goldstone bosons

Yao

Guo

et al. 2015

J. High Energ. Phys.

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We derive the scattering amplitude for Goldstone bosons of chiral symmetry off the pseudoscalar charmed mesons up to leading one-loop order in a covariant chiral effective field theory, using the so-called extended-on-mass-shell renormalization scheme. Then we use unitarized chiral perturbation theory to fit to the available lattice data of the S-wave scattering lengths. The lattice data are well described. However, most of the low-energy constants determined from the fit bear large uncertainties. Lattice simulations in more channels are necessary to pin down these values which can then be used to make predictions in other processes related by chiral and heavy quark symmetries.

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“…This method was developed for low-energy QCD, where it was applied for ordinary ChPT for mesons (see refs. [91,[164][165][166]). Later, it was applied to the unitarization of the divergent NLO WBGBs scattering amplitudes of higgsless models (refs.…”

Section: Inverse Amplitude Methodsmentioning

confidence: 99%

“…However, this is due to the limitations of the K-matrix and, in particular, to the lack of a proper analytic structure on the K-matrix unitarized partial waves. According to the experience in unitarization methods applied to hadron physics [164][165][166], these resonances do appear and are well described by unitarization procedures other than the simplest K-matrix method. Actually, the A K 0 (s) partial wave is defined only in the physical region, it cannot be analytically extended to the whole complex plane by following the complex integration trajectories of fig.…”

Section: K-matrix and Improved K-matrixmentioning

confidence: 99%

Study of the Electroweak Symmetry Breaking Sector for the LHC

López¹

2017

Springer Theses

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Global fit ofππandπKelastic scattering in chiral perturbation theory with dispersion relations

Cited by 190 publications

References 45 publications

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

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

One-loop analysis of the interactions between charmed mesons and Goldstone bosons

Study of the Electroweak Symmetry Breaking Sector for the LHC

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