Masses and sigma terms of doubly charmed baryons up to $\mathcal{O}(p^4)$ in manifestly Lorentz-invariant baryon chiral perturbation theory - INSPIRE

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Masses and sigma terms of doubly charmed baryons up to $\mathcal{O}(p^4)$ in manifestly Lorentz-invariant baryon chiral perturbation theory

De-Liang Yao
(
- Valencia U., IFIC
)

Jan 29, 2018

12 pages

Published in:

Phys.Rev.D 97 (2018) 3, 034012

Published: Feb 13, 2018

e-Print:

1801.09462 [hep-ph]

DOI:

10.1103/PhysRevD.97.034012

View in:

ADS Abstract Service

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Abstract: (APS)

We calculate the masses and sigma terms of the doubly charmed baryons up to next-to-next-to-next-to-leading order [i.e., O(p4)] in a covariant baryon chiral perturbation theory by using the extended-on-mass-shell renormalization scheme. Their expressions both in infinite and finite volumes are provided for chiral extrapolation in lattice QCD. As a first application, our chiral results of the masses are confronted with the existing lattice QCD data in the presence of finite-volume corrections. Up to O(p3), all relevant low-energy constants can be well determined. As a consequence, we obtain the physical values for the masses of Ξcc and Ωcc baryons by extrapolating to the physical limit. Our determination of the Ξcc mass is consistent with the recent experimental value by LHCb Collaboration, however, larger than the one by SELEX Collaboration. In addition, we predict the pion-baryon and strangeness-baryon sigma terms, as well as the mass splitting between the Ξcc and Ωcc states. Their quark mass dependences are also discussed. The numerical procedure can be applied to the chiral results of O(p4) order, where more unknown constants are involved, when more data are available for unphysical pion masses.

Note:

12 pages, 6 figures and 3 tables

baryon: mass
perturbation theory: chiral
correction: finite size
quark: mass dependence
sigma term
lattice field theory
charmed baryon
higher-order: 3
effective Lagrangian

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Figures(6)

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