precise SM tests

Colangelo, Gilberto

doi:10.22323/1.083.0053

Cited by 4 publications

(5 citation statements)

References 53 publications

(74 reference statements)

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“…Lattice determinations of the leading order and next-to-leading order LEC's have been surveyed in detail by S. Necco, and by FLAG in excellent recent reviews [4,2]. I reproduce here some of the SU(2) NLO summary in table 3, as I believe this is more convergent and hence more meaningful than SU(3).…”

Section: Low Energy Constantsmentioning

confidence: 98%

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Kaon physics from lattice

Boyle¹

2010

Proceedings of 2009 KAON International Conference — PoS(KAON09)

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Section: Low Energy Constantsmentioning

confidence: 98%

“…Carrying out a review of this nature is an increasingly daunting task in the presence of the excellent Flavia Lattice Averaging Group effort [2]. It is also worth mentioning excellent recent reviews by individual members of FLAG [3,4].…”

Section: Pos(kaon09)002mentioning

confidence: 99%

Kaon physics from lattice

Boyle¹

2010

Proceedings of 2009 KAON International Conference — PoS(KAON09)

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“…PT has been very successful in describing properties of light mesons in the nonperturbative regime [40][41][42][43]. Predictions for the -scattering lengths, first obtained by Weinberg [44] and improved by the development of PT, agree with experiment to a high degree of accuracy [45,46]. The pion radii ⟨ 2 ⟩ =0 and ⟨ 2 ⟩ =1 V are also well understood [33,40,47,48], while the pion radius ⟨ 2 ⟩ =2 has not been discussed so far.…”

Section: Numerical Estimatesmentioning

confidence: 99%

πe3Form Factorf-Near the Mass Shell

Krivoruchenko

2015

Advances in High Energy Physics

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The generalized Ward-Takahashi identity (gWTI) in the pion sector for broken isotopic symmetry is derived and used for the modelindependent calculation of the longitudinal form factor − of the 3 vector vertex. The on-shell − is found to be proportional to the mass difference of the pions and the difference between the vector isospin = 1 and scalar isospin = 2 pion radii. A numerical estimate of the form factor yields a value two times higher than the previous estimate from the quark model. Off-shell form factors are known to be ambiguous because of the gauge dependence and the freedom in the parameterization of the fields. The nearmass-shell − appears to be an exception, allowing for experimental verification of the consequences of the gWTI. We calculate the near-mass-shell − using the gWTI and dispersion techniques. The results are discussed in the context of the conservation of vector current (CVC) hypothesis.

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“…40,41,42,43 Predictions for the ππ-scattering lengths, first obtained by Weinberg 44 and improved by the development of χPT, agree with experiment to a high degree of accuracy. 45,46 The pion radii r 2 T =0 s and r 2 T =1 v are also well understood, 33,40,47,48 while the pion radius r 2 T =2 s has not been discussed so far. The embedding of isotopic symmetry breaking into the χPT framework on line with Refs.…”

Section: Numerical Estimatesmentioning

confidence: 99%

$π_{e3}$ form factor $f_{-}$ near the mass shell

Krivoruchenko

2014

Preprint

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The generalized Ward-Takahashi identity (gWTI) in the pion sector for broken isotopic symmetry is derived and used for the model-independent calculation of the longitudinal form factor f − of the π e3 vector vertex. The on-shell f − is found to be proportional to the mass difference of the pions and the difference between the vector isospin T = 1 and scalar isospin T = 2 pion radii. A numerical estimate of the form factor yields a value two times higher than the previous estimate from the quark model. Off-shell form factors are known to be ambiguous because of the gauge dependence and the freedom in the parameterization of the fields. The near-mass-shell f − appears to be an exception, allowing for experimental verification of the consequences of the gWTI . We calculate the near-mass-shell f − using the gWTI and dispersion techniques. The results are discussed in the context of the conservation of vector current (CVC) hypothesis.

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precise SM tests

Cited by 4 publications

References 53 publications

Kaon physics from lattice

Kaon physics from lattice

πe3Form Factorf-Near the Mass Shell

$π_{e3}$ form factor $f_{-}$ near the mass shell

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