Use of Dispersion Relations in ππ and
                    <i>K</i>
                    K̄ Coupled-Channel System

Xiao, Zhiguang; Zheng, Han-Qing

doi:10.1088/0253-6102/48/4/024

Cited by 10 publications

(2 citation statements)

References 40 publications

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“…This phenomenon occurs since all the particles in the initial and final states of the T (4) -matrix are treated as on shell [65]. Such a problem is well-known and also exists in other methods of unitarization [56,[66][67][68][69]. However, depending on the values of LECs, such unitarity violation is usually very small and would not cause any real problem in practical applications of IAM results.…”

Section: Unitaritymentioning

confidence: 99%

Two-meson form factors in unitarized chiral perturbation theory

Shi

Seng

Guo

et al. 2021

J. High Energ. Phys.

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We present a comprehensive analysis of form factors for two light pseudoscalar mesons induced by scalar, vector, and tensor quark operators. The theoretical framework is based on a combination of unitarized chiral perturbation theory and dispersion relations. The low-energy constants in chiral perturbation theory are fixed by a global fit to the available data of the two-meson scattering phase shifts. Each form factor derived from unitarized chiral perturbation theory is improved by iteratively applying a dispersion relation. This study updates the existing results in the literature and explores those that have not been systematically studied previously, in particular the two-meson tensor form factors within unitarized chiral perturbation theory. We also discuss the applications of these form factors as mandatory inputs for low-energy phenomena, such as the semi-leptonic decays Bs→ π+π−ℓ+ℓ− and the τ lepton decay τ → π−π0ντ, in searches for physics beyond the Standard Model.

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Section: Unitaritymentioning

confidence: 99%

Two-meson form factors in unitarized chiral perturbation theory

Shi

Seng

Guo

et al. 2021

J. High Energ. Phys.

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show abstract

“…Sometimes, it can be obtained in some other equivalent way. For example, in a two-channel occasion the analytically continued S matrices on different Riemann sheets could be written down using those on the first sheet [19]:…”

Section: The Analyticity Of S Matrixmentioning

confidence: 99%

Origin of light0+scalar resonances

Zhou

Xiao

2011

Phys. Rev. D

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We demonstrate how most of the light J P = 0 + spectrum below 2.0 GeV and their decays can be consistently described by the unitarized quark model incorporating the chiral constraints of Adler zeros and taking SU (3) breaking effects into account. These resonances appear as poles in the complex s plane in a unified picture as qq states strongly dressed by hadron loops. Through the large Nc analysis, these resonances are found to naturally separate into two kinds: σ, κ, f0(980), a0(980) are dynamically generated and run away from the real axis as Nc increases, while the others move towards the qq seeds. In this picture, the line shape of a0(980) is produced by a broad pole below the KK threshold, and exhibits characteristics similar to the σ and κ.

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Final state rescattering effects in axio-hadronic η and η′ decays

Alves,

Gonzàlez-Solís

2024

J. High Energ. Phys.

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It has been long-understood that final state rescattering effects provide $$ \mathcal{O} $$ O (1) corrections to hadronic meson decays rates, such as η → πππ and η′ → ηππ. Hence, one would expect that such effects would be just as important in axio-hadronic η and η′ decays, such as η(′) → ππa, where a is an axion or axion-like particle (ALP). And indeed they are, as we show in this paper by using the treatment of dispersion relations to include the effects of strong final state interactions in several axio-hadronic processes, namely, η(′) → π0π0a, η(′) → π+π−a, and η′ → ηπ0a. We also compute the perturbative, leading order decay rates for multiple ALP emission, such as in η(′) → π0aa, η′ → ηaa and η(′) → aaa, and briefly discuss the expected corrections from strong interactions and the processes that must be considered for an accurate rate estimation of these multi-ALP decay channels.

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Use of Dispersion Relations in ππ and K K̄ Coupled-Channel System

Cited by 10 publications

References 40 publications

Two-meson form factors in unitarized chiral perturbation theory

Two-meson form factors in unitarized chiral perturbation theory

Origin of light0+scalar resonances

Final state rescattering effects in axio-hadronic η and η′ decays

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