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Bounds on the slope and the curvature of the scalar K\pi form factor at zero momentum transfer

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arxiv hep-ph/0504016 v2 pith:QDGLS7AL submitted 2005-04-04 hep-ph

Claude Bourrely (CPT) , Irinel Caprini (NIPNE) This is my paper · ORCID
classification hep-ph
keywords boundscurvaturechiralfactorformmomentumresultsscalar
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We derive and calculate unitarity bounds on the slope and curvature of the strangeness-changing scalar form factor at zero momentum transfer, using low-energy constraints and Watson final state interaction theorem. The results indicate that the curvature is important and should not be neglected in the representation of experimental data. The bounds can be converted also into an allowed region for the constants $C\_{12}^r$ and $C\_{34}^r$ of Chiral Perturbation Theory. Our results are consistent with, but weaker than the predictions made by Jamin, Oller and Pich in a coupled channel dispersion approach basedon chiral resonance model. We comment on the differences between the two dispersive methods and argue that the unitarity bounds are useful as an independent check involving different sources of information

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. SCET sum rules for $B\to D_1(2420)$ and $B\to D_1'(2430)$ form factors at next-to-leading order

    hep-ph 2026-07 conditional novelty 6.0 of 10

    First O(αs) SCET light-cone sum rules for B o D1 and B o D1' form factors yield R(D1)=0.070+0.028-0.018 and R(D1')=0.159+0.032-0.025.

  2. Precision calculations of $B\to K^*$ form factors from SCET sum rules beyond leading-power contributions

    hep-ph 2024-12 conditional novelty 6.0 of 10

    New subleading-power corrections to B to K* form factors from SCET sum rules yield SM branching fractions BR(Bbar0 to Kbar*0 nu nubar)=8.09(96)e-6 and F_L=0.44(4).

  3. Unitarity bounds and form-factor predictions for $B$-meson decays

    hep-ph 2026-05 unverdicted novelty 5.0 of 10

    Reviews unitarity bounds for B-meson form factors, shows standard methods apply rigorously only to B→π, develops GG parametrization for general cases, and delivers combined-analysis predictions with public supplementa...

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