Model-independent calculation of $SU(3{)}_f$ violation in baryon octet light-cone distribution amplitudes

Abstract

In this work we present a minimal parametrization of the light-cone distribution amplitudes of the baryon octet including higher twist contributions. Simultaneously we obtain the quark mass dependence of the amplitudes at leading one-loop accuracy by the use of three-flavor baryon chiral perturbation theory (BChPT), which automatically yields model-independent results for the leading $SU(3)$ flavor breaking effects. For that purpose we have constructed the nonlocal light-cone three-quark operators in terms of baryon octet and meson fields and have carried out a next-to-leading order BChPT calculation. We were able to find a minimal set of distribution amplitudes (DAs) that do not mix under chiral extrapolation towards the physical point and naturally embed the $\Lambda$ baryon. Additionally they are chosen in such a way that all DAs of a certain symmetry class have a similar quark mass dependence (independent of the twist of the corresponding amplitude), which allows for a compact presentation. The results are well-suited for the extrapolation of lattice data and for model building.

We have updated the text to match the version published in JHEP

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• Semileptonic ${\Xi }_c$ baryon decays in the light cone QCD sum rules
• Baryon octet distribution amplitudes in Wandzura-Wilczek approximation
• Baryon decays $J/\psi \to B\bar{B}$ within the QCD factorisation framework
• ${\gamma }^{\ast }N\to {\Delta }^{+}(1600)$ transition form factors in light-cone sum rules
• A description of charmonia decays $J/\psi \to B\bar{B}$ within the QCD factorisation framework
• Hybrid renormalization in lattice calculation of baryon LCDAs
• Light-cone sum rules for radial excitation of decuplet to octet baryons electromagnetic transition form factors
• Light-cone distribution amplitudes of the nucleon and $\Delta$ baryon