The 39th International Symposium on Lattice Field Theory (Lattice 2022)

A Quenched Exploration of Heavy Quark Moments and their Perturbative Expansion

11 Aug 2022, 11:50

20m

CP1-HSZ/0.002 (CP1-HSZ) - HS4 (CP1-HSZ)

Oral Presentation Standard Model Parameters Standard Model Parameters

Speaker

Leonardo Chimirri (HU Berlin & Desy Zeuthen)

Description

The parametric error on the QCD-coupling can be a dominant source of uncertainty in several important observables. One way to extract the coupling is to compare high order perturbative computations with lattice evaluated moments of heavy quark two-point functions. The truncation of the perturbative series is a sizeable systematic uncertainty that needs to be under control.
In this talk we give an update on our study [hep-lat/2203.07936] on this issue. We measure pseudo-scalar two-point functions in volumes of $L=2$ fm with twisted-mass Wilson fermions in the quenched approximation. We use full twist, the non-perturbative clover term and lattice spacings down to $a=0.010$ fm to tame the large discretization effects.
Our results show that both the continuum extrapolations and the extrapolation of the $\mathrm{\Lambda }$-parameter to the asymptotic perturbative region are very challenging.

Presentation materials

Chimirri_HQmoments_lat22.pdf