Baryon vector current in the chiral and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:msub><mml:mrow><mml:mi>N</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>expansions

Flores‐Mendieta, Rubén; Goity, J. L.

doi:10.1103/physrevd.90.114008

Cited by 16 publications

(66 citation statements)

References 37 publications

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“…In particular, the first set of coefficients, a 1 , b 2 , b 3 , and c 3 , has been already determined in Ref. [8] from baryon semileptonic decays, practically under the same footing as in the present case. In other words, these parameters have been determined from a comparison between theory and experiment, where the theoretical expressions have been obtained in the combined formalism at one-loop order, including explicit SB and the effects of the baryon decuplet-octet mass difference in the loop integrals.…”

Section: Numerical Analysissupporting

confidence: 57%

“…Some of them could be found in the operator coefficients from the axial current, which by the way can be used to determine the low-energy constants of the chiral Lagrangian D, F , C, and H. At present, the only calculation for the renormalization of the axial vector current in the context of large-N c chiral perturbation theory which accounts for the mass difference between octet and decuplet baryons available is the one of Ref. [8]. This calculation, however, does not include all baryon operators for N c = 3.…”

Section: Discussionmentioning

confidence: 99%

“…The latter can be found in Ref. [8] and will not be repeated here. After collecting partial results, the corrections from Fig.…”

Section: (A)mentioning

confidence: 90%

“…Also, relations (44) can be used so the matrix elements can be found in Ref. [8]. Gathering together partial results, the final expressions for the correction to the s-wave amplitude in baryon nonleptonic decays from Figs.…”

Section: (A)mentioning

confidence: 99%

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s -wave baryon nonleptonic decay amplitude in large−Nc chiral perturbation theory

Flores‐Mendieta

2019

Phys. Rev. D

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The s-wave decay amplitude in the nonleptonic decay of baryons is analyzed within heavy baryon chiral perturbation theory in the large-Nc limit at one-loop order, where Nc is the number of color charges. Loop graphs with octet and decuplet intermediate states are systematically incorporated into the analysis and the effects of the decuplet-octet mass difference are accounted for. There are large-Nc cancellations between different one-loop graphs as a consequence of the large-Nc spin-flavor symmetry of QCD baryons. The predictions of large-Nc baryon chiral perturbation theory are in very good agreement both with the expectations from the 1/Nc expansion and with the experimental data.

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Section: Numerical Analysissupporting

confidence: 57%

Section: Discussionmentioning

confidence: 99%

“…The latter can be found in Ref. [8] and will not be repeated here. After collecting partial results, the corrections from Fig.…”

Section: (A)mentioning

confidence: 90%

Section: (A)mentioning

confidence: 99%

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s -wave baryon nonleptonic decay amplitude in large−Nc chiral perturbation theory

Flores‐Mendieta

2019

Phys. Rev. D

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“…Recently, Flores-Mendieta and Goity have proposed a new framework of the chiral expansion, that is consistent with the 1/N c expansion of QCD [40]. They then provided the complete O(p 2 ) corrections to f 1 (0), which is consistent with the lattice results of ∆f [40].…”

Section: Chiral and Continuum Extrapolation Of F1(0)supporting

confidence: 56%

Continuum limit of hyperon vector coupling f1(0) from 2+1 flavor domain wall QCD

Sasaki

2017

Phys. Rev. D

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We determine the hyperon vector couplings f1(0) for Σ − → nl −ν l and Ξ 0 → Σ + l −ν l semileptonic decays in the continuum limit with (2+1)-flavors of dynamical domain-wall fermions, using the Iwasaki gauge action at two different lattice spacings of a = 0.114(2) and 0.086(2) fm. A theoretical estimation of flavor SU (3)-breaking effect on the vector coupling is required to extract Vus from the experimental rate of hyperon beta decays. We obtain the vector couplings f1(0) for Σ → N and Ξ → Σ beta-decays with an accuracy of less than one percent. We then find that lattice results of f1(0) combined with the best estimate of |Vus| with imposing Cabibbo-Kobayashi-Maskawa (CKM) unitarity are slightly deviated from the experimental result of |Vusf1(0)| for the Σ → N betadecay. This discrepancy can be attributed to an assumption made in the experimental analysis on |Vusf1(0)|, where the induced second-class form factor g2 is set to be zero regardless of broken SU (3) symmetry. We report on this matter and then estimate the possible value of g2(0), which is evaluated from the experimental decay rate with our lattice result of f1(0) under the first-row CKM-unitarity condition. SU(3) 1hereafter) in the exact SU (3) symmetry limit (m ud = m s ) [3]. However, in the real world, the SU (3) symmetry is largely broken. Thus, a theoretical estimate of SU (3) breaking-effects on the vector coupling f 1 (0) is primarily required for the precise determination of |V us | from the experimental rate of hyperon beta decays.Here, the hyperon vector coupling f 1 (0) can be

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Peripheral transverse densities of the baryon octet from chiral effective field theory and dispersion analysis

et al. 2017

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The baryon electromagnetic form factors are expressed in terms of two-dimensional densities describing the distribution of charge and magnetization in transverse space at fixed light-front time. We calculate the transverse densities of the spin-1/2 flavor-octet baryons at peripheral distances b = O(M −1 π ) using methods of relativistic chiral effective field theory (χEFT) and dispersion analysis. The densities are represented as dispersive integrals over the imaginary parts of the form factors in the timelike region (spectral functions). The isovector spectral functions on the two-pion cut t > 4 M 2 π are calculated using relativistic χEFT including octet and decuplet baryons. The χEFT calculations are extended into the ρ meson mass region using an N/D method that incorporates the pion electromagnetic form factor data. The isoscalar spectral functions are modeled by vector meson poles. We compute the peripheral charge and magnetization densities in the octet baryon states, estimate the uncertainties, and determine the quark flavor decomposition. The approach can be extended to baryon form factors of other operators and the moments of generalized parton distributions.

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Baryon vector current in the chiral and1/Ncexpansions

Abstract: The baryon vector current is computed at one-loop order in large-N c baryon chiral perturbation

Cited by 16 publications

References 37 publications

s -wave baryon nonleptonic decay amplitude in large−Nc chiral perturbation theory

s -wave baryon nonleptonic decay amplitude in large−Nc chiral perturbation theory

Continuum limit of hyperon vector coupling f1(0) from 2+1 flavor domain wall QCD

Peripheral transverse densities of the baryon octet from chiral effective field theory and dispersion analysis

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