Combined large-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>N</mml:mi><mml:mi>c</mml:mi></mml:msub></mml:math>and heavy-quark operator analysis of two-body meson-baryon counterterms in the chiral Lagrangian with charmed mesons

Lutz, Matthias; Samart, Daris; Semke, A.

doi:10.1103/physrevd.84.096015

Cited by 9 publications

(21 citation statements)

References 39 publications

(97 reference statements)

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“…There has been lots of research work on the strong interactions of the charmed or bottomed mesons, such as the lattice study, calculations with the chiral perturbation theory and so on [10][11][12][13][14][15][16][17][18][19]. The charmed triplet (B" 3 ), sextet (B 6 ) and excited sextet (B Ã 6 ) baryons are relatively stable particles.…”

Section: Introductionmentioning

confidence: 99%

Pseudoscalar meson and charmed baryon scattering lengths

Liu

Zhu

2012

Phys. Rev. D

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Section: Introductionmentioning

confidence: 99%

Pseudoscalar meson and charmed baryon scattering lengths

Liu

Zhu

2012

Phys. Rev. D

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“…A quantitative description of more than 220 lattice data points for the baryon octet and decuplet states of five different lattice groups, PACS-CS, LHPC, HSC, NPLQCD and QCDSF-UKQCD [3,2,4,9,38], was achieved in terms of a 12 parameter fit. The number of parameters was reduced significantly by large-N c sum rules [39,40,41]. More recent lattice simulation data from the ETM collaboration [42] for the baryon decuplet and octet masses were predicted by this approach.…”

Section: Introductionmentioning

confidence: 99%

On the convergence of the chiral expansion for the baryon ground-state masses

2018

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We study the chiral expansion of the baryon octet and decuplet masses in the isospin limit. It is illustrated that a chiral expansion of the one-loop contributions is rapidly converging up to quark masses that generously encompasses the mass of the physical strange quark. We express the successive orders in terms of physical meson and baryon masses. In addition, owing to specific correlations amongst the chiral moments, we suggest a reordering of terms that make the convergence properties more manifest. Explicit expressions up to chiral order five are derived for all baryon masses at the one-loop level. The baryon masses obtained do not depend on the renormalization scale. Our scheme is tested against QCD lattice data, where the low-energy parameters are systematically correlated by large-N c sum rules. A reproduction of the baryon masses from PACS-CS, LHPC, HSC, NPLQCD, QCDSF-UKQCD and ETMC is achieved for ensembles with pion and kaon masses smaller than 600 MeV. Predictions for baryon masses on ensembles from CLS as well as all low-energy constants that enter the baryon masses at N 3 LO are made.

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“…The purpose of the present work is to pave the way towards a corresponding analysis of the upcoming lattice data for the charmed baryons. In order to derive sum rules for the symmetry conserving low-energy constants we study matrix elements of current-current correlation functions in the charmed baryon states [7,18]. The technology developed in [19][20][21] will be applied.…”

Section: Introductionmentioning

confidence: 99%

Combined large-Ncand heavy-quark operator analysis for the chiral Lagrangian with charmed baryons

2014

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The chiral SUð3Þ Lagrangian with charmed baryons of spin J P ¼ 1=2 þ and J P ¼ 3=2 þ is analyzed. We consider all counterterms that are relevant at next-to-next-to-next-to-leading order (N 3 LO) in a chiral extrapolation of the charmed baryon masses. At N 2 LO we find 16 low-energy parameters. There are three mass parameters for the antitriplet and the two sextet baryons, six parameters describing the mesonbaryon vertices and seven symmetry breaking parameters. The heavy-quark spin symmetry predicts four sum rules for the meson-baryon vertices and degenerate masses for the two baryon sextet fields. Here a large-N c operator analysis at next-to-leading order (NLO) suggests the relevance of one further spin-symmetry breaking parameter. Going from N 2 LO to N 3 LO adds 53 ¼ 17 þ 36 parameters. For the leading symmetry conserving two-body counterterms involving two baryon fields and two Goldstone boson fields we find 36 terms. While the heavy-quark spin symmetry leads to 36 − 16 ¼ 20 sum rules, an expansion in 1=N c at NLO generates 36 − 7 ¼ 29 parameter relations. A combined expansion leaves six unknown parameters only. For the symmetry breaking counterterms we find 17 terms, for which there are 17 − 9 ¼ 8 sum rules from the heavy-quark spin symmetry and 17 − 5 ¼ 12 sum rules from a 1=N c expansion at NLO.

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Combined large-Ncand heavy-quark operator analysis of two-body meson-baryon counterterms in the chiral Lagrangian with charmed mesons

Cited by 9 publications

References 39 publications

Pseudoscalar meson and charmed baryon scattering lengths

Pseudoscalar meson and charmed baryon scattering lengths

On the convergence of the chiral expansion for the baryon ground-state masses

Combined large-Ncand heavy-quark operator analysis for the chiral Lagrangian with charmed baryons

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