The vector and scalar form factors of the pion to two loops | Zendy

Johan Bijnens | Zendy; Gilberto Colangelo | Zendy; Pere Talavera | Zendy

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The vector and scalar form factors of the pion to two loops

Author(s) -

Johan Bijnens,

Gilberto Colangelo,

Pere Talavera

Publication year - 1998

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/1998/05/014

Subject(s) - chiral perturbation theory , pion , scalar (mathematics) , physics , perturbation (astronomy) , particle physics , resonance (particle physics) , charge radius , mathematical physics , mathematics , quantum mechanics , geometry , proton

We calculate the vector and scalar form factors of the pion to two loops inChiral Perturbation Theory. We estimate the unknown O(p^6) constants usingresonance exchange. We make a careful comparison to the available data anddetermine two O(p^4) constants rather precisely, and two O(p^6) constants lessprecisely. We also use Chiral Perturbation Theory to two loops to extract in amodel--independent manner the charge radius of the pion from the availabledata, and obtain \rpiV=0.437\pm 0.016 fm^2.Comment: Latex2e, JHEP.cls, 30 pages 5 figure

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