2002
DOI: 10.1103/physrevd.66.034021
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Recoil order chiral corrections to baryon octet axial vector currents and largeNcQCD

Abstract: We compute the chiral corrections to octet baryon axial vector currents through O(p 3 ) in heavy baryon chiral perturbation theory, including both octet and decuplet baryon intermediate states. We include the latter in a consistent way by using the small scale expansion. We find that, in contrast to the situation at O(p 2 ), there exist no cancellations between octet and decuplet contributions at O(p 3 ). Consequently, the O(p 3 ) corrections spoil the expected scaling behavior of the chiral expansion. We disc… Show more

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Cited by 28 publications
(20 citation statements)
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“…1.24. Computations of SU(3) breaking effects in axial current matrix elements [135,136], and, more recently, also first lattice results for the first moment of ∆s + ∆s [137] point towards a sizable breaking of SU(3) symmetry. To study its validity of one needs to probe ∆s(x) at smaller values of x at an EIC.…”
Section: Current Status Of Global Ppdf Fits -Baseline For Eic Projectmentioning
confidence: 99%
“…1.24. Computations of SU(3) breaking effects in axial current matrix elements [135,136], and, more recently, also first lattice results for the first moment of ∆s + ∆s [137] point towards a sizable breaking of SU(3) symmetry. To study its validity of one needs to probe ∆s(x) at smaller values of x at an EIC.…”
Section: Current Status Of Global Ppdf Fits -Baseline For Eic Projectmentioning
confidence: 99%
“…One obtains H = 3.0 ± 5.0 in the cutoff scheme, whereas in the case of dim reg a fit yields H = −3.5, and thus no reliable estimate for the parameter H can be given in chiral perturbation theory. An independent estimate for H has recently been obtained in large N c QCD [26] where the authors obtain values in the range H = −2.25 . .…”
Section: −7mentioning
confidence: 99%
“…Several methods have been suggested to reconcile power counting with the constraints of analyticity in the relativistic approach [21,22,23,24,25,26,27]. The most widely used technique is the so-called infrared regularization of Becher and Leutwyler [23] which has been applied in various calculations of baryon properties [28,29,30,31,32], pion-nucleon scattering [33,34], mesonic U(3) chiral perturbation theory [35,36,37], a discussion of the generalized Gerasimov-Drell-Hearn sum rule and the spin structure of the nucleon [38,39], and the ground-state energy of pionic hydrogen [40].…”
Section: Introductionmentioning
confidence: 99%