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Contribution of Inelastic Rescatterring to $B \to \pi \pi, K \bar{K}$ Decays
High Energy Physics - Phenomenology · Submitted 5 Sep 2000
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim In particular, amplitudes of B decays into $K\bar{K}$ become significantly larger than those estimated through short-distance penguin diagrams, to the point of being comparable to the $B\to \pi \pi$ amplitudes.
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The abstract, sentence by sentence
We discuss multichannel inelastic rescatterring effects in B decays into a pair $PP$ of pseudoscalar mesons ($PP = \pi \pi$ or $K\bar{K}$). In agreement with short-distance models it is assumed that initially $B$ meson decays dominantly into jet-like states composed of two flying-apart low-mass resonances $M_1 M_2$ which rescatter into $PP$. Since from all S-matrix elements $<i|S|PP>$ involving $PP$ only some ($i = M_1 M_2$) contribute to the final state rescatterring, the latter is treated as a correction only. The rescatterring of resonance pair $M_1 M_2$ into the final $PP$ state is assumed to proceed through Regge exchange. Although effects due to a single intermediate state $M_1 M_2$ are small, it is shown that the combined effect of all such states should be large. In particular, amplitudes of B decays into $K\bar{K}$ become significantly larger than those estimated through short-distance penguin diagrams, to the point of being comparable to the $B\to \pi \pi$ amplitudes.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We discuss multichannel inelastic rescatterring effects in B decays into a pair $PP$ of pseudoscalar mesons ($PP = \pi \pi$ or $K\bar{K}$). | contribution 0.93 | 0.59 | 0.05 | unclear 0.54 |
| s1 | In agreement with short-distance models it is assumed that initially $B$ meson decays dominantly into jet-like states composed of two flying-apart low-mass resonances $M_1 M_2$ which rescatter into $PP$. | method 0.82 | 0.16 | 0.05 | asserted 0.80 |
| s2 | Since from all S-matrix elements $<i|S|PP>$ involving $PP$ only some ($i = M_1 M_2$) contribute to the final state rescatterring, the latter is treated as a correction only. | method 0.93 | 0.31 | 0.04 | asserted 0.99 |
| s3 | The rescatterring of resonance pair $M_1 M_2$ into the final $PP$ state is assumed to proceed through Regge exchange. | method 0.99 | 0.24 | 0.04 | asserted 0.89 |
| s4 | Although effects due to a single intermediate state $M_1 M_2$ are small, it is shown that the combined effect of all such states should be large. | result 0.99 | 0.85 | 0.34 | asserted 1.00 |
| s5 | In particular, amplitudes of B decays into $K\bar{K}$ become significantly larger than those estimated through short-distance penguin diagrams, to the point of being comparable to the $B\to \pi \pi$ amplitudes. | result 1.00 | 0.83 | 0.79 | asserted 0.98 |
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Original abstract
We discuss multichannel inelastic rescatterring effects in B decays into a pair $PP$ of pseudoscalar mesons ($PP = \pi \pi$ or $K\bar{K}$). In agreement with short-distance models it is assumed that initially $B$ meson decays dominantly into jet-like states composed of two flying-apart low-mass resonances $M_1 M_2$ which rescatter into $PP$. Since from all S-matrix elements $<i|S|PP>$ involving $PP$ only some ($i = M_1 M_2$) contribute to the final state rescatterring, the latter is treated as a correction only. The rescatterring of resonance pair $M_1 M_2$ into the final $PP$ state is assumed to proceed through Regge exchange. Although effects due to a single intermediate state $M_1 M_2$ are small, it is shown that the combined effect of all such states should be large. In particular, amplitudes of B decays into $K\bar{K}$ become significantly larger than those estimated through short-distance penguin diagrams, to the point of being comparable to the $B\to \pi \pi$ amplitudes.
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