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 ($a_{\mu }^{\mathrm{HVP},\mathrm{LO}}$) can be constrained. These constraints help bridge the gap between lattice QCD and data-driven values. Upper and lower bounds on $a_{\mu }^{\mathrm{HVP},\mathrm{LO}}$ 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.

Presentation materials

SLi_WNPPC2025_slides.pdf