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B-physics observables in the continuum from a combination of static and relativistic results

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2024
SISSA Trieste

EuroPLEx Final Conference, EuroPLEx2023, BerlinBerlin, Germany, 11 Sep 2023 - 15 Sep 20232023-09-112023-09-15 Proceedings of Science / International School for Advanced Studies (EuroPLEx2023), 005 () [10.22323/1.451.0005]
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Abstract: We discuss how to perform interpolations between relativistic and static computations in order to extract heavy-light B-physics observables in the continuum. This strategy can be carried out entirely in large volume, but its predictivity is enhanced by the following step scaling approach. Relativistic computations are carried out at the physical b-quark mass using the Schrödinger Functional in a box, where small $am$ is accessible. 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. We discuss the extraction of relativistic large volume observables entering the computation, focusing on leptonic and semi-leptonic transition amplitudes. We review in detail our numerical results first presented in [1] for leptonic decays from CLS $N_f=2+1$ ensembles at $m_u=m_d=m_s$, and with five values of the lattice spacing down to $0.039 \ \mathrm{fm}$.

Classification:

Note: cc-by-nc-nd

Contributing Institute(s):
  1. Zeuthen Particle PhysicsTheory (Z_ZPPT)
Research Program(s):
  1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
  2. GRK 2149 - GRK 2149: Starke und schwache Wechselwirkung - von Hadronen zu Dunkler Materie (269952272) (269952272)
  3. GRK 2575 - GRK 2575: Überdenken der Quantenfeldtheorie (417533893) (417533893)
  4. STRONG-2020 - The strong interaction at the frontier of knowledge: fundamental research and applications (824093) (824093)
  5. EuroPLEx - European network for Particle physics, Lattice field theory and Extreme computing (813942) (813942)
Experiment(s):
  1. No specific instrument

Database coverage:
Medline ; Creative Commons Attribution-NonCommercial-NoDerivs CC BY-NC-ND 4.0 ; DOAJ ; OpenAccess ; DOAJ Seal ; SCOPUS
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 Record created 2025-06-24, last modified 2025-11-19


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