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Communication Dans Un Congrès Année : 2023

A strategy for B-physics observables in the continuum limit

Alessandro Conigli
  • Fonction : Auteur
Julien Frison
  • Fonction : Auteur
Patrick Fritzsch
  • Fonction : Auteur
Jochen Heitger
  • Fonction : Auteur
Gregorio Herdoiza
  • Fonction : Auteur
Simon Kuberski
  • Fonction : Auteur
Carlos Pena
  • Fonction : Auteur
Hubert Simma
  • Fonction : Auteur
Rainer Sommer
  • Fonction : Auteur

Résumé

In a somewhat forgotten paper [1] it was shown how to perform interpolations between relativistic and static computations in order to obtain results for heavy-light observables for masses from, say, $m_{\rm charm}$ to $m_{\rm bottom}$. All quantities are first continuum extrapolated and then interpolated in $1/m_h=1/m_{\rm heavy}$. Large volume computations are combined with finite volume ones where a relativistic bottom quark is accessible with small $am_{\rm bottom}$. We discuss how this strategy is extended to semi-leptonic form factors and other quantities of phenomenological interest. The essential point is to form quantities where the limit $m_h\to\infty$ is approached with power corrections O$(1/m_h)$ only. Perturbative corrections $\sim\alpha_s(m_h)^{\gamma+n}$ are cancelled in the construction of the observables. We also point out how such an approach can help to control systematics in semi-leptonic decays with just large volume data. First numerical results with $N_f = 2 + 1$ and lattice spacings down to 0.039 fm are presented in [2].

Dates et versions

hal-04396911 , version 1 (16-01-2024)

Identifiants

Citer

Alessandro Conigli, Julien Frison, Patrick Fritzsch, Antoine Gérardin, Jochen Heitger, et al.. A strategy for B-physics observables in the continuum limit. 40th International Symposium on Lattice Field Theory, Jul 2023, Batavia, United States. ⟨hal-04396911⟩
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