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 Λ 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.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
LHCb collaboration, Measurement of Form-Factor-Independent Observables in the Decay B 0 → K ∗0 μ + μ −, Phys. Rev. Lett. 111 (2013) 191801 [arXiv:1308.1707] [INSPIRE].
T.M. Aliev, A. Özpineci and M. Savcı, Model independent analysis of Lambda baryon polarizations in Λ b → Λℓ+ℓ− decay, Phys. Rev. D 67 (2003) 035007 [hep-ph/0211447] [INSPIRE].
T.M. Aliev, A. Özpineci and M. Savcı, Exclusive Λ b → Λℓ+ℓ− decay beyond standard model, Nucl. Phys. B 649 (2003) 168 [hep-ph/0202120] [INSPIRE].
Y.-m. Wang, Y. Li and C.-D. Lu, Rare Decays of Λ b → Λγ and Λ b → Λℓ+ℓ− in the Light-cone Sum Rules, Eur. Phys. J. C 59 (2009) 861 [arXiv:0804.0648] [INSPIRE].
V.L. Chernyak, A.A. Ogloblin and I.R. Zhitnitsky, Wave Functions of Octet Baryons, Z. Phys. C 42 (1989) 569 [INSPIRE].
V. Braun, R.J. Fries, N. Mahnke and E. Stein, Higher twist distribution amplitudes of the nucleon in QCD, Nucl. Phys. B 589 (2000) 381 [hep-ph/0007279] [INSPIRE].
Y.-L. Liu and M.-Q. Huang, Distribution amplitudes of Sigma and Lambda and their electromagnetic form factors, Nucl. Phys. A 821 (2009) 80 [arXiv:0811.1812] [INSPIRE].
Y.-L. Liu and M.-Q. Huang, Light-cone Distribution Amplitudes of Xi and their Applications, Phys. Rev. D 80 (2009) 055015 [arXiv:0909.0372] [INSPIRE].
I.V. Anikin, V.M. Braun and N. Offen, Nucleon Form Factors and Distribution Amplitudes in QCD, Phys. Rev. D 88 (2013) 114021 [arXiv:1310.1375] [INSPIRE].
I.V. Anikin and A.N. Manashov, Higher twist nucleon distribution amplitudes in Wandzura-Wilczek approximation, Phys. Rev. D 89 (2014) 014011 [arXiv:1311.3584] [INSPIRE].
V.M. Braun, A.N. Manashov and J. Rohrwild, Baryon Operators of Higher Twist in QCD and Nucleon Distribution Amplitudes, Nucl. Phys. B 807 (2009) 89 [arXiv:0806.2531] [INSPIRE].
S. Wandzura and F. Wilczek, Sum Rules for Spin Dependent Electroproduction: Test of Relativistic Constituent Quarks, Phys. Lett. B 72 (1977) 195 [INSPIRE].
V.M. Braun et al., Light-cone Distribution Amplitudes of the Nucleon and Negative Parity Nucleon Resonances from Lattice QCD, Phys. Rev. D 89 (2014) 094511 [arXiv:1403.4189] [INSPIRE].
S. Weinberg, Phenomenological Lagrangians, Physica A 96 (1979) 327 [INSPIRE].
J. Gasser and H. Leutwyler, Chiral Perturbation Theory to One Loop, Annals Phys. 158 (1984) 142 [INSPIRE].
J. Gasser and H. Leutwyler, Chiral Perturbation Theory: Expansions in the Mass of the Strange Quark, Nucl. Phys. B 250 (1985) 465 [INSPIRE].
J. Gasser, M.E. Sainio and A. Švarc, Nucleons with Chiral Loops, Nucl. Phys. B 307 (1988) 779 [INSPIRE].
A. Krause, Baryon Matrix Elements of the Vector Current in Chiral Perturbation Theory, Helv. Phys. Acta 63 (1990) 3 [INSPIRE].
V. Bernard, Chiral Perturbation Theory and Baryon Properties, Prog. Part. Nucl. Phys. 60 (2008) 82 [arXiv:0706.0312] [INSPIRE].
S.R. Coleman, J. Wess and B. Zumino, Structure of phenomenological Lagrangians. 1., Phys. Rev. 177 (1969) 2239 [INSPIRE].
S. Scherer, Introduction to chiral perturbation theory, Adv. Nucl. Phys. 27 (2003) 277 [hep-ph/0210398] [INSPIRE].
P.C. Bruns, L. Greil and A. Schäfer, The First PDF Moments for Three Dynamical Flavors in Baryon Chiral Perturbation Theory, Eur. Phys. J. A 48 (2012) 16 [arXiv:1105.6000] [INSPIRE].
P. Wein, P.C. Bruns, T.R. Hemmert and A. Schäfer, Chiral extrapolation of nucleon wave function normalization constants, Eur. Phys. J. A 47 (2011) 149 [arXiv:1106.3440] [INSPIRE].
P.C. Bruns, L. Greil and A. Schäfer, Chiral extrapolation of baryon mass ratios, Phys. Rev. D 87 (2013) 054021 [arXiv:1209.0980] [INSPIRE].
W. Bietenholz et al., Flavour blindness and patterns of flavour symmetry breaking in lattice simulations of up, down and strange quarks, Phys. Rev. D 84 (2011) 054509 [arXiv:1102.5300] [INSPIRE].
QCDSF/UKQCD collaboration, M. Göckeler et al., Baryon Axial Charges and Momentum Fractions with N f = 2 + 1 Dynamical Fermions, PoS(LATTICE 2010)163 [arXiv:1102.3407] [INSPIRE].
A.N. Cooke et al., SU(3) flavour breaking and baryon structure, PoS(LATTICE 2013)278 [arXiv:1311.4916] [INSPIRE].
T. Becher and H. Leutwyler, Baryon chiral perturbation theory in manifestly Lorentz invariant form, Eur. Phys. J. C 9 (1999) 643 [hep-ph/9901384] [INSPIRE].
J.-W. Chen and I.W. Stewart, Model independent results for SU(3) violation in light cone distribution functions, Phys. Rev. Lett. 92 (2004) 202001 [hep-ph/0311285] [INSPIRE].
J.-W. Chen, H.-M. Tsai and K.-C. Weng, Model-independent results for SU(3) violation in twist-3 light-cone distribution functions, Phys. Rev. D 73 (2006) 054010 [hep-ph/0511036] [INSPIRE].
P. Ball, V.M. Braun, Y. Koike and K. Tanaka, Higher twist distribution amplitudes of vector mesons in QCD: Formalism and twist-three distributions, Nucl. Phys. B 529 (1998) 323 [hep-ph/9802299] [INSPIRE].
V.M. Braun and A. Lenz, On the SU(3) symmetry-breaking corrections to meson distribution amplitudes, Phys. Rev. D 70 (2004) 074020 [hep-ph/0407282] [INSPIRE].
Y.-L. Liu, C.-Y. Cui and M.-Q. Huang, Higher order light-cone distribution amplitudes of the Lambda baryon, Eur. Phys. J. C 74 (2014) 3041 [arXiv:1407.4889] [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1501.07218
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Wein, P., Schäfer, A. Model-independent calculation of SU(3) f violation in baryon octet light-cone distribution amplitudes. J. High Energ. Phys. 2015, 73 (2015). https://doi.org/10.1007/JHEP05(2015)073
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP05(2015)073