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000601882 0247_ $$2arXiv$$aarXiv:2312.10017
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000601882 088__ $$2arXiv$$aarXiv:2312.10017
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000601882 1001_ $$0P:(DE-H253)PIP1098092$$aConigli, Alessandro$$b0$$eCorresponding author
000601882 245__ $$a$m_B$ and $f_{B^{(\star)}}$ in $2+1$ flavour QCD from a combination of continuum limit static and relativistic results
000601882 260__ $$c2023
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000601882 500__ $$aLattice 2023 talk
000601882 520__ $$aWe present preliminary results for B-physics from a combination of non-perturbative results in the static limit with relativistic computations satisfying $am_{\mathrm{heavy}}\ll 1$. Relativistic measurements are carried out at the physical b-quark mass using the Schrödinger Functional in a $0.5 \ \mathrm{fm}$ box. They are connected to large volume observables through step scaling functions that trace the mass dependence between the physical charm region and the static limit, such that B-physics results can be obtained by interpolation; the procedure is designed to exactly cancel the troublesome $\alpha_s(m_{\mathrm{heavy}})^{n+\gamma}$ corrections to large mass scaling. Large volume computations for both static and relativistic quantities use CLS $N_f=2+1$ ensembles at $m_u=m_d=m_s$, and with five values of the lattice spacing down to $0.039$ fm. Our preliminary results for the b-quark mass and leptonic decay constants have competitive uncertainties, which are furthermore dominated by statistics, allowing for substantial future improvement. Here we focus on numerical results, while the underlying strategy is discussed in a companion contribution.
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000601882 650_7 $$2INSPIRE$$aquantum chromodynamics
000601882 650_7 $$2INSPIRE$$alattice
000601882 650_7 $$2INSPIRE$$alattice field theory
000601882 650_7 $$2INSPIRE$$acharm
000601882 650_7 $$2INSPIRE$$anonperturbative
000601882 650_7 $$2INSPIRE$$amass dependence
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000601882 650_7 $$2INSPIRE$$aB: leptonic decay
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000601882 7001_ $$0P:(DE-H253)PIP1095095$$aFrison, Julien$$b1$$udesy
000601882 7001_ $$aFritzsch, Patrick$$b2
000601882 7001_ $$aGérardin, Antoine$$b3
000601882 7001_ $$aHeitger, Jochen$$b4
000601882 7001_ $$aHerdoiza, Gregorio$$b5
000601882 7001_ $$aKuberski, Simon$$b6
000601882 7001_ $$aPena, Carlos$$b7
000601882 7001_ $$0P:(DE-H253)PIP1003628$$aSimma, Hubert$$b8$$udesy
000601882 7001_ $$0P:(DE-H253)PIP1003629$$aSommer, Rainer$$b9$$udesy
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000601882 9141_ $$y2023
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