Light-cone distribution amplitudes of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>Ξ</mml:mi></mml:math>and their applications

Liu, Yong-Lu; Huang, Ming-Qiu

doi:10.1103/physrevd.80.055015

Cited by 33 publications

(61 citation statements)

References 49 publications

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“…These DA's contain also four independent parameters. These parameters in the case of Ξ baryon are given as [49]:…”

Section: Numerical Resultsmentioning

confidence: 99%

“…These wave functions are expanded in terms of DA's having different twists which are calculated in [49] and [50]. For completeness, we present the explicit forms of the wave functions together with the DA's in the Appendix.…”

Section: Lcsr For Transition Form Factorsmentioning

confidence: 99%

“…Table 2: Relations between the calligraphic functions and B scalar DA's. Every distribution amplitude, F = S 1,2 , P 1,2 , V 1→6 , A 1→6 , T 1→8 can be represented as: The explicit expressions for the DA's of the B baryon up to twists six are given as [49,50]: Twist-3 distribution amplitudes:…”

Section: Acknowledgmentmentioning

confidence: 99%

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Light cone QCD sum rules study of the semileptonic heavy ΞQ and Ξ′Q transitions to Ξ and Σ baryons

2012

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The semileptonic decays of heavy spin-1/2, Ξ b(c) and Ξ ′ b(c) baryons to the light spin-1/2, Ξ and Σ baryons are investigated in the framework of light cone QCD sum rules. In particular, using the most general form of the interpolating currents for the heavy baryons as well as the distribution amplitudes of the Ξ and Σ baryons, we calculate all form factors entering the matrix elements of the corresponding effective Hamiltonians in full QCD. Having calculated the responsible form factors, we evaluate the decay rates and branching fractions of the related transitions. PACS number(s): 11.55. Hx, 13.30.Ce, 14.20.Mr, 14.20 Such an experimental progress stimulates the theoretical studies on properties of the heavy baryons as well as their electromagnetic, weak and strong transitions. The mass spectrum of the heavy baryons has been studied using various methods including heavy quark effective theory [2], QCD sum rules [3][4][5][6] and some other phenomenological models [7][8][9][10][11][12]. Some electromagnetic properties of the heavy baryons and their radiative decays have been investigated in different frameworks in [6,[13][14][15][16][17][18][19][20][21][22][23][24]. The strong decays of the heavy baryons have also been in the focus of much attention, theoretically (see for instance [25][26][27] and references therein).However, the weak and semileptonic decays of heavy baryons are very important frameworks not only in obtaining information about their internal structure, precise calculation of the main ingredients of standard model (SM) such as Kabbibbo-Kobayashi-Maskawa (CKM) matrix elements and answering to some fundamental questions like nature of the CP violation, but also in looking for new physics beyond the SM. The loop level semileptonic transitions of the heavy baryons containing single heavy quark to light baryons induced by the flavor changing neutral currents (FCNC) are useful tools, for instance, to look for the supersymmetric particles, light dark matter, fourth generation of the quarks and extra dimensions etc. [28,29]. Some semileptonic decay channels of the heavy baryons have been previously investigated in different frameworks (see for instance [30][31][32][33][34][35][36][37][38] and references therein).The present work deals with the semileptonic decays of heavy Ξ b(c) and Ξ ′ b(c) baryons to the light Ξ and Σ baryons. The considered channels are either at loop level described by twelve form factors in full QCD or at tree level analyzed by six form factors entering the transition matrix elements of the corresponding low energy Hamiltonian. Here, we should mention that by the "full QCD" we refer to the QCD theory without any approximation like heavy quark effective theory (HQET) so we take the mass of heavy quarks finite. In HQET approximation, the number of form factors describing the considered transitions reduce to only two form factors [39,40]. The considered processes take place in low energies far from the perturbative region, so to calculate the form factors as the main ingredie...

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“…These DA's contain also four independent parameters. These parameters in the case of Ξ baryon are given as [49]:…”

Section: Numerical Resultsmentioning

confidence: 99%

Section: Lcsr For Transition Form Factorsmentioning

confidence: 99%

See 1 more Smart Citation

Light cone QCD sum rules study of the semileptonic heavy ΞQ and Ξ′Q transitions to Ξ and Σ baryons

2012

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“…Some of the previous work [30][31][32] shows that when using LCDAs from a conformal spin expansion approach, the next-to-leading order corrections may affect the results to some extent, particularly for the dynamical processes. In recent years, much data on the heavy b baryon has been accumulated at LHC [33][34][35][36][37] and CDF [38,39], which provide an excellent platform to investigate the intrinsic properties of QCD.…”

Section: Introductionmentioning

confidence: 99%

“…This article is a complement to the previous ones and we aim to present the explicit expressions of the light-cone distribution amplitudes of the baryon in the approach of conformal spin expansion [42][43][44][45][46][47][48] to the next-to-leading order. In comparison with the nucleon or the and baryon [40,49], has isospin 0, which makes it lose the symmetry relationships from the identity of the quarks. As a result, the equations to reduce the freedom of the nonperturbative parameters have different origins from that of the other octet J P = 1 2 + baryons.…”

Section: Introductionmentioning

confidence: 99%

Higher order light-cone distribution amplitudes of the Lambda baryon

2014

Self Cite

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The improved light-cone distribution amplitudes (LCDAs) of the baryon are examined on the basis of the QCD conformal partial wave expansion approach. The calculations are carried out to the next-to-leading order of conformal spin accuracy with consideration of twist 6. The next leading order conformal expansion coefficients are related to the nonperturbative parameters defined by the local threequark operator matrix elements with different Lorentz structures with a covariant derivative. The nonperturbative parameters are determined with the QCD sum rule method. The explicit expressions of the LCDAs are provided as the main results.

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Model-independent calculation of SU(3) f violation in baryon octet light-cone distribution amplitudes

Wein

Schäfer

2015

J. High Energ. Phys.

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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.

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Light-cone distribution amplitudes ofΞand their applications

Cited by 33 publications

References 49 publications

Light cone QCD sum rules study of the semileptonic heavy ΞQ and Ξ′Q transitions to Ξ and Σ baryons

Light cone QCD sum rules study of the semileptonic heavy ΞQ and Ξ′Q transitions to Ξ and Σ baryons

Higher order light-cone distribution amplitudes of the Lambda baryon

Model-independent calculation of SU(3) f violation in baryon octet light-cone distribution amplitudes

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