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A strategy for B-physics observables in the continuum limit

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2023
SISSA Trieste

40th International Symposium on Lattice Field Theory, Lattice 2023, BataviaBatavia, United States, 30 Jul 2023 - 5 Aug 20232023-07-302023-08-05 Proceedings of Science / International School for Advanced Studies (LATTICE2023), 268 () [10.22323/1.453.0268]
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Report No.: DESY-23-216; HU-EP-23/71; MS-TP-23-53; arXiv:2312.09811

Abstract: 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].

Keyword(s): perturbation theory: correction ; lattice ; charm ; quark: mass ; continuum limit ; form factor ; numerical calculations ; finite size

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Note: cc-by-nc-ndLattice 2023 talk

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

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Medline ; Creative Commons Attribution-NonCommercial-NoDerivs CC BY-NC-ND 4.0 ; DOAJ ; OpenAccess ; DOAJ Seal ; SCOPUS
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A strategy for B-physics observables in the continuum limit
[10.3204/PUBDB-2023-07493]  GO OpenAccess  Download fulltext Files  Download fulltextFulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS


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