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

Johan Bijnens; Gilberto Colangelo; Pere Talavera

doi:10.1088/1126-6708/1998/05/014

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

Johan Bijnens, Gilberto Colangelo, Pere Talavera

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Abstract

We calculate the vector and scalar form factors of the pion to two loops in Chiral Perturbation Theory. We estimate the unknown O(p⁶) constants using resonance exchange. We make a careful comparison to the available data and determine two O(p⁴) constants rather precisely, and two O(p⁶) constants less precisely. We also use Chiral Perturbation Theory to two loops to extract in a model-independent manner the charge radius of the pion from the available data, and obtain 〈r²〉_v^π = 0.437 ± 0.016 fm².

Original language	English
Article number	014
Journal	Journal of High Energy Physics
Volume	1998
Issue number	JHEP05(1998)
DOIs	https://doi.org/10.1088/1126-6708/1998/05/014
Publication status	Published - 1998 Dec 1

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Chiral lagrangians
Spontaneous symmetry breaking

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10.1088/1126-6708/1998/05/014

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abstract = "We calculate the vector and scalar form factors of the pion to two loops in Chiral Perturbation Theory. We estimate the unknown O(p6) constants using resonance exchange. We make a careful comparison to the available data and determine two O(p4) constants rather precisely, and two O(p6) constants less precisely. We also use Chiral Perturbation Theory to two loops to extract in a model-independent manner the charge radius of the pion from the available data, and obtain 〈r2〉vπ = 0.437 ± 0.016 fm2.",

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T1 - The vector and scalar form factors of the pion to two loops

AU - Bijnens, Johan

AU - Colangelo, Gilberto

AU - Talavera, Pere

PY - 1998/12/1

Y1 - 1998/12/1

N2 - We calculate the vector and scalar form factors of the pion to two loops in Chiral Perturbation Theory. We estimate the unknown O(p6) constants using resonance exchange. We make a careful comparison to the available data and determine two O(p4) constants rather precisely, and two O(p6) constants less precisely. We also use Chiral Perturbation Theory to two loops to extract in a model-independent manner the charge radius of the pion from the available data, and obtain 〈r2〉vπ = 0.437 ± 0.016 fm2.

AB - We calculate the vector and scalar form factors of the pion to two loops in Chiral Perturbation Theory. We estimate the unknown O(p6) constants using resonance exchange. We make a careful comparison to the available data and determine two O(p4) constants rather precisely, and two O(p6) constants less precisely. We also use Chiral Perturbation Theory to two loops to extract in a model-independent manner the charge radius of the pion from the available data, and obtain 〈r2〉vπ = 0.437 ± 0.016 fm2.

KW - Chiral lagrangians

KW - Spontaneous symmetry breaking

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

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SN - 1029-8479

VL - 1998

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - JHEP05(1998)

M1 - 014

ER -

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

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