Rainer Sommer

Slow running of the Gradient Flow coupling from 200 MeV to 4 GeV in

Using a finite volume gradient flow renormalization scheme with Schrodinger Functional boundary conditions, we compute the nonperturbative running coupling in the range

N_{\rm f}=3

2.2ensuremath{lesssim}{overline{g}}_{mathrm{GF}}^{2}(L)ensuremath{lesssim}13

QCD

. Careful continuum extrapolations turn out to be crucial to reach our high accuracy. The running of the coupling is always between one loop and two loop and very close to one loop in the region of

SU(3) Yang Mills theory at small distances and fine lattices

200text{ }text{ }mathrm{MeV}ensuremath{lesssim}ensuremath{mu}=phantom{rule{0ex}{0ex}}1/Lensuremath{lesssim}4text{ }text{ }mathrm{GeV}

Symanzik Improvement with Dynamical Charm: A 3+1 Scheme for Wilson Quarks : arXiv

. While there is no convincing contact to two-loop running, we match nonperturbatively to the Schrodinger functional coupling with background field. In this case, we know the

arXiv : A non-perturbative exploration of the high energy regime in

ensuremath{mu}

N_\text{f}=3

-dependence up to

QCD

ensuremath{sim}100text{ }text{ }mathrm{GeV}

HQET form factors for Bs → Klv decays beyond leading order

and can thus connect to the

Elsevier : The determination of

mathrm{ensuremath{Lambda}}