Radiative corrections to low-energy ππ scattering

Roig, Francesc S.; Swift, Arthur R.

doi:10.1016/0550-3213(76)90116-4

Cited by 11 publications

(16 citation statements)

References 6 publications

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“…If one therefore directly compares the processes e + e − → π + π − (γ) and e + e − → µ + µ − (γ), one is only sensitive to the difference (1/M π ± ) log(∆E/M π ± )−(1/M µ ) log(∆E/M µ ) which reduces the dependence on the detector resolution by almost one order of magnitude. Another way of proceeding is to follow the arguments which have been used in the discussion of ππ scattering [32,10]. While the cross section of course depends on the detector resolution and so does the scattering length a, dσ/dΩ = |a| 2 , one can define an electromagnetically corrected scattering length which is independent of ∆E.…”

Section: Vector Form Factor and Pion Charge Radiusmentioning

confidence: 99%

Virtual photons in the pion form factors and the energy–momentum tensor

Kubis

Meißner

2000

Nuclear Physics A

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We evaluate the vector and scalar form factor of the pion in the presence of virtual photons at next-to-leading order in two-flavor chiral perturbation theory. We also consider the scalar and tensor pion form factors of the energy-momentum tensor. We find that the intrinsic electromagnetic corrections are of the expected size for the vector form factor and very small for the charged pion scalar form factor. Detector resolution independent photon corrections reduce the vector radius by about one percent. The scalar radius of the neutral pion is reduced by two percent by isospin-breaking contributions. We perform infrared regularization by considering electron-positron annihilation into pions and the decay of a light Higgs boson into a pion pair. We discuss the detector resolution dependent contributions to the various form factors and pion radii.

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Section: Vector Form Factor and Pion Charge Radiusmentioning

confidence: 99%

Virtual photons in the pion form factors and the energy–momentum tensor

Kubis

Meißner

2000

Nuclear Physics A

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“…Finally, electromagnetic corrections to low energy π − π scattering within different contexts and/or frameworks have been considered previously in Refs. [27], [28] and [29]. Unless otherwise stated, we shall work within the framework of standard chiral perturbation theory, where (1.1) is assumed to hold.…”

Section: Introductionmentioning

confidence: 99%

Virtual photons in low energy Π−Π scattering

1998

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“…Once this is done, the corrected scattering length a 0 (+−; 00) might be defined from the threshold expansion of the infrared finite cross-section, eq. (5.9), by subtracting the Coulomb pole term and excluding the corrections due to the mass squared differences in the phase-space in the following way [25] σ(s; ∆E) = 1 32πs…”

Section: Soft Photon Contributionmentioning

confidence: 99%