WNPPC2025 - 62nd Winter Nuclear & Particle Physics Conference

HVP Contributions to Muon $g-2$: QCD Constraints Using Inequalities and Sum Rules

16 Feb 2025, 11:30

15m

Kinnear Centre Room (KC 303) (Banff, Alberta)

Contributed Oral QCD and Hadrons Morning 6 - QCD and Hadrons

Speaker

Siyuan Li (University of Saskatchewan)

Description

Fermilab's 2023 measurement of the muon's anomalous magnetic moment ($a_\mu = (g-2)_\mu/2$) has heightened the discrepancy between experimental results and Standard Model predictions to $5.0\sigma$. By employing the structure of finite-energy QCD sum rules (FESR) and H\"older inequalities, the hadronic vacuum polarization (HVP) contribution to the leading order (LO) muon $g-2$ anomaly ($a_\mu^\mathrm{HVP,LO}$) can be constrained. These constraints help bridge the gap between lattice QCD and data-driven values. Upper and lower bounds on $a_\mu^\mathrm{HVP,LO}$ are constructed and evaluated up to five-loop order in perturbation theory in chiral limit, LO in light-quark mass corrections, next-to-leading order in dimension-four QCD condensates, and LO in dimension-six QCD condensates.