Charm physics with Moebius Domain Wall Fermions

Domain Wall Charm Physics with Physical Pion Masses: Decay constants, bag and $\xi$ parameters

“…Finally, we enforce that for one value we have m Figure 1. The figure also reveals that we cannot simulate physical charm quark masses on the coarse ensembles obeying the condition am h ≤ 0.4 [12]. and to vanishing lattice spacing, i.e.…”

“…The simulation of charm quarks using a domain wall action is challenging. To show that domain wall fermions are a suitable discretisation for charm phenomenology, we carried out a quenched pilot study [11,12]. In this pilot study we mapped out the parameter space of the domain wall action to optimise it for the simulation of charm quarks.…”

“…We found that a domain wall height M 5 = 1.6 and an extend of the 5th dimension of L s = 12 was the optimal choice to simulate heavy quarks with a Möbius domain wall formalism. This works reliably for am h 0.4, so in the following we restricted ourselves to input quark masses in bare lattice units of am h ≤ 0.4 as can be seen in Table 3 [12]. The only exception to this is the input quark mass of am h = 0.45 on C0 which is indicated in red in Table 3.…”

“…The condition am h ≤ 0.4 [12] implies that on the coarsest ensemble we are unable to simulate the physical charm mass directly. As a result of this, the continuum limit is not well constrained for reference masses m ref D s /η c above some maximal value m max D s /η c , i.e.…”

Domain Wall Charm Physics with Physical Pion Masses: Decay constants, bag and $ξ$ parameters

“…The interpolated values for the example of O = f D s / f D are shown as filled circles in Figure 1. The figure also reveals that we cannot simulate physical charm quark masses on the coarse ensembles obeying the condition am h ≤ 0.4 [12].…”