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| Формат: | Recurso digital |
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Zenodo
2026
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| Онлайн доступ: | https://doi.org/10.5281/zenodo.19705254 |
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- <h3>A Curvature-Induced Log-Periodic Deformation of C9(q 2): Wave Confinement Theory and the LHCb B 0 → K ∗0µ+µ− Anomaly<br>Richard J. Reyes - April 22, 2026<br><br>Overview</h3> <p>This work introduces a curvature-driven deformation of the Wilson coefficient C₉(q²) in the b → s ℓ⁺ℓ⁻ sector, motivated by Wave Confinement Theory (WCT). The deformation takes the form of a log-periodic modulation arising from curvature-induced spectral structure in a confined wavefield.</p> <p>The framework proposes that the observed deviations in B⁰ → K*⁰ μ⁺μ⁻ angular observables, particularly P′₅(q²), can be modeled as a structured, scale-dependent perturbation of C₉(q²), rather than a constant shift.</p> <h3>Core Result</h3> <p>The effective Wilson coefficient is modified as:</p> <p>C₉^eff(q²) = C₉^SM + δC₉(q²)</p> <p>with a curvature-induced deformation:</p> <p>δC₉(q²) = A · cos(ω · log(q² / Λ²) + φ)</p> <p>where:</p> <p>• A — modulation amplitude<br>• ω — log-frequency<br>• Λ — curvature-defined scale<br>• φ — phase offset</p> <p>This form produces localized deviations across q² consistent with LHCb measurements while preserving the global structure of the Standard Model.</p> <h3>Key Structure</h3> <p>The construction follows the chain:</p> <p>wavefield dynamics<br>→ curvature feedback<br>→ spectral band selection<br>→ discrete scale structure<br>→ log-periodic modulation<br>→ deformation of C₉(q²)<br>→ angular observable deviations</p> <p>The log-periodicity arises from discrete scale invariance induced by curvature locking across spectral shells.</p> <h3>Physical Interpretation</h3> <p>Within this framework:</p> <p>• C₉(q²) encodes the effective response of a curvature-regulated field<br>• deviations are interpreted as spectral interference effects rather than new particle exchange<br>• the anomaly reflects structured modulation in the underlying wavefield rather than a constant offset</p> <p>No additional degrees of freedom are introduced; the effect emerges from internal geometric dynamics.</p> <h3>Scope and Limitations</h3> <p>This work does not claim:</p> <p>• a full global fit across all flavor observables<br>• resolution of all anomalies in the b → s ℓ⁺ℓ⁻ sector<br>• a complete embedding within the Standard Model effective field theory</p> <p>The deformation is presented as a minimal, structured ansatz motivated by curvature dynamics.</p> <p>Open problems include:</p> <p>• global fit validation across all Wilson coefficients<br>• correlation with other decay channels<br>• derivation of parameters (A, ω, Λ, φ) from first principles</p> <h3>Significance</h3> <p>If supported by further analysis, this framework suggests:</p> <p>• anomalies in flavor physics may arise from geometric spectral structure<br>• log-periodic modulations provide a new class of signatures beyond constant Wilson shifts<br>• curvature-based field dynamics can produce observable effects at collider scales</p> <p>More broadly, the work proposes that certain deviations from Standard Model predictions may reflect underlying spectral structure rather than new particle content.</p> <h3>Keywords</h3> <p>flavor physics; LHCb; Wilson coefficient; C₉(q²); B⁰ → K*⁰ μ⁺μ⁻; angular anomaly; log-periodic modulation; discrete scale invariance; spectral structure; wave confinement theory<br><br></p> <h3>Author & Contact</h3> <p><strong>Author:</strong> Richard J. Reyes<br><strong>ORCID iD:</strong> 0009-0005-5975-8718<br><strong>Email:</strong> <a class="decorated-link cursor-pointer" rel="noopener">reyes.ricky30@gmail.com</a></p>