2021/11/30 by D. Giusti, Giusti, Davide, Silvano Simula +1 · 1 citation
Computer Science · Physics and Astronomy · #Computational Physics and Python Applications #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies
paper · pdf · doi:10.48550/arxiv.2111.15329
openalex publication_date 2021/11/30 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28
We present a lattice calculation of the Euclidean position-space windows contributing to the leading-order hadronic vacuum polarization term of the muon anomalous magnetic moment aμ. Short-, intermediate- and long-distance windows are considered in order to isolate different scales sensitive to specific integration ranges of experimental time-like data used in the R-ratio. By adopting the same smooth window function introduced by the RBC and UKQCD Collaborations with width parameter Δ= 0.15~\rm fm, for the isospin-symmetric, light, quark-connected component we get aμ\rm SD (ud) = 48.21 (80) ⋅ 10-10 , aμ\rm W (ud) = 202.2 (2.6) ⋅ 10-10 and aμ\rm LD (ud) = 382.5 (11.7) ⋅ 10-10 in the short- (SD), intermediate- (W) and long-distance (LD) time regions, respectively, with t0 = 0.4~\rm fm and t1 = 1.0~\rm fm. Our results are obtained using the gauge configurations generated by the Extended Twisted Mass Collaboration with Nf=2+1+1 dynamical quarks, at three values of the lattice spacing varying from 0.089 to 0.062 fm, at several lattice volumes and with pion masses in the range Mπ≃ 220 - 490~\rm MeV.