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 vector currents in baryon chiral perturbation theory combined with the 
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Fernando, Ishara P.; Goity, J. L.

doi:10.1103/physrevd.101.054026

Cited by 6 publications

(6 citation statements)

References 45 publications

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“…As for f 1 , the resultant symmetry breaking pattern is consistent with recent results obtained in the context of the combined formalism in 1/N c and chiral corrections in terms of the ξ power counting of Ref. [17] and lattice QCD [18]. The consistency is better appreciated for the output of fit B.…”

Section: Preliminary Numerical Analysissupporting

confidence: 87%

Baryon axial vector current in large-$N_c$ chiral perturbation theory: Complete analysis for $N_c=3$

Flores-Mendieta,

Garcia,

Hernandez

2021

Preprint

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The baryon axial vector current is computed in heavy baryon chiral perturbation theory in the large-Nc limit, where Nc is the number of color charges. One-loop nonanalytic corrections of order mq ln mq are comprised in the analysis, with contributions of both intermediate octet and decuplet baryon states, to all orders in the 1/Nc expansion of the axial vector current relevant for Nc = 3. Theoretical expressions are obtained in the limit of vanishing decuplet-octet mass difference only, which allows one to carry out a full comparison with conventional heavy baryon chiral perturbation theory results for three flavors of light quarks and at the physical value Nc = 3. Both approaches perfectly agree to all orders considered. Furthermore, a numerical analysis via a least-squares fit is performed in order to extract the values of the free parameters of the theory, using the experimental data available. The predictions of formalism are remarkable.PACS numbers:

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Section: Preliminary Numerical Analysissupporting

confidence: 87%

Baryon axial vector current in large-$N_c$ chiral perturbation theory: Complete analysis for $N_c=3$

Flores-Mendieta,

Garcia,

Hernandez

2021

Preprint

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“…We have 7 + 5 + 5 + 6 = 23 independent parameters at this chiral order. Taking the chiral Lagrangian ( 11)-( 12) into account lies on the same line of the previous study [13], where the other low-energy parameters at the same chiral order as in ( 11)- (12) were investigated. Now, we have all independent terms at Q 3 having both breaking and preserving the chiral symmetry, which are related to meson-baryon scattering processes at this chiral order.…”

Section: Chiral Lagrangian With Baryon Octet and Decuplet Fieldsmentioning

confidence: 92%

“…The chiral Lagrangian with three light flavors is strongly bivalent to its potential and challenges [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. While the flavor structure of its interaction terms at a given chiral order is highly predictive, its slow convergence properties ask for the quantitative control of higher order terms.…”

Section: Introductionmentioning

confidence: 99%

The chiral Lagrangian with three flavors and large-Nc sum rules

Heo¹,

Kobdaj²,

Lutz³

2022

Preprint

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We reconsider the chiral Lagrangian with three-flavor baryon fields. A systematic analysis of all LEC that contribute to the axial-vector and pseudoscalar currents in the baryon octet and decuplet fields at nextto-leading order is performed. While there are 4 LEC relevant at leading order, the number of relevant LEC at subleading chiral order is 23. For those a leading order large-N c analysis predicts 3 and 18 sum rules respectively. At the next accuracy level the number of sum rules is reduced to 2 and 8. Our results are illustrated by a tree-level analysis of available axial-vector coupling constants and strong decay widths of the baryon decuplet states.

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“…Again the leading order LEC F, D, C, and H do not contribute. Only terms from (11) contribute. We turn to the matrix elements for the axial current from the chiral Lagrangian densities (1) and (10).…”

Section: Correlation Functions From the Chiral Lagrangianmentioning

confidence: 99%

“…The chiral Lagrangian with three light flavors is controversial to its potential and challenges [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. While the flavor structure of its interaction terms at a given chiral order is highly a e-mail: kobdaj@g.sut.ac.th (corresponding author) b e-mail: m.lutz@gsi.de (corresponding author) predictive, its slow convergence properties ask for the quantitative control of higher order terms.…”

Section: Introductionmentioning

confidence: 99%

The chiral Lagrangian with three flavors and large-$$N_c$$ sum rules

2023

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We reconsider the chiral Lagrangian with three-flavor baryon fields. A systematic analysis of all low-energy constants (LEC) that contribute to the axial-vector and pseudoscalar currents in the baryon octet and decuplet fields at next-to-leading order in the inverse number of colors ($$1/N_c$$ 1 / N c ) of QCD is performed. We study the correlation function consisting of axial-vector and scalar currents as well. While there are 4 LEC relevant at leading chiral order, the number of relevant LEC at subleading order is 23. For those a leading order large-$$N_c$$ N c analysis predicts 3 and 18 sum rules respectively. At the next accuracy level the number of sum rules is reduced to 2 and 8. Our results are illustrated by a tree-level analysis of available axial-vector coupling constants and strong decay widths of the baryon decuplet states.

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SU(3) vector currents in baryon chiral perturbation theory combined with the 1/Nc

Cited by 6 publications

References 45 publications

Baryon axial vector current in large-$N_c$ chiral perturbation theory: Complete analysis for $N_c=3$

Baryon axial vector current in large-$N_c$ chiral perturbation theory: Complete analysis for $N_c=3$

The chiral Lagrangian with three flavors and large-Nc sum rules

The chiral Lagrangian with three flavors and large-$$N_c$$ sum rules

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