Bootstrapping leading hadronic muon anomaly

2024/11/29 by Ahmadullah Zahed, Zahed, Ahmadullah · 2 citations
Physics and Astronomy · Computer Science · #Particle physics theoretical and experimental studies #Computational Physics and Python Applications #Particle Detector Development and Performance

paper · pdf · doi:10.48550/arxiv.2412.00187

Abstract

We bootstrap the leading order hadronic contribution to a_μ using unitarity, analytic properties, crossing symmetry and finite energy sum rules (FESR) from quantum chromodynamics (QCD), establishing a lower bound. Combining this lower bound with the remaining precisely calculated contributions from quantum electrodynamics and electroweak interactions, we achieve a lower bound on muon anomaly a_μ. Since the FESRs have uncertainties, our bound depends on the choices of FESRs within these uncertainties. A conservative choice of the FESR gives a conservative lower bound, consistent with Standard Model (SM) data-driven prediction. We show that there are other valid choices of FESRs within the uncertainties that lead to lower bounds, which are inconsistent with SM data-driven prediction but consistent with the measured values of the muon anomaly. The bootstrapped spectral density shows a ρ-resonance peak similar to experimental hadronic cross-ratio data, providing a bootstrap prediction for ρ-meson mass.

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• A short review on QCD sum rule studies of P-wave single heavy baryons
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