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

Aug 8 – 13, 2022
Hörsaalzentrum Poppelsdorf
Europe/Berlin timezone

## A Quenched Exploration of Heavy Quark Moments and their Perturbative Expansion

Aug 11, 2022, 11:50 AM
20m
CP1-HSZ/Ground-0.002 - HS4 (CP1-HSZ)

### CP1-HSZ/Ground-0.002 - HS4

#### CP1-HSZ

50
Oral Presentation 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 $\Lambda$-parameter to the asymptotic perturbative region are very challenging.

### Primary authors

Leonardo Chimirri (HU Berlin & Desy Zeuthen) Prof. Rainer Sommer (DESY Zeuthen, Humboldt Berlin)