2016
DOI: 10.1016/j.physletb.2016.03.088
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Continuum limit of the leading-order HQET form factor in Bs→ Kℓν decays

Abstract: We discuss the computation of form factors for semi-leptonic decays of B-, B s -mesons in lattice QCD. Considering in particular the example of the static B s form factors we demonstrate that after non-perturbative renormalization the continuum limit can be taken with confidence. The resulting precision is of interest for extractions of V ub . The size of the corrections of order 1/m b is just estimated at present but it is expected that their inclusion does not pose significant difficulties.

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Cited by 27 publications
(42 citation statements)
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“…For the vector B s → K form factor this extrapolation was obtained by HPQCD Collaboration [23]. The same form factor was also calculated by ALPHA Collaboration [24] [25], to which the HPQCD Collaboration results [26] are very close (not shown here). Finally, the low-q 2 extrapolations of the lattice B → π vector and tensor form factors are taken from [27] and [28], respectively.…”
Section: Numerical Resultssupporting
confidence: 75%
“…For the vector B s → K form factor this extrapolation was obtained by HPQCD Collaboration [23]. The same form factor was also calculated by ALPHA Collaboration [24] [25], to which the HPQCD Collaboration results [26] are very close (not shown here). Finally, the low-q 2 extrapolations of the lattice B → π vector and tensor form factors are taken from [27] and [28], respectively.…”
Section: Numerical Resultssupporting
confidence: 75%
“…For the kin and spin contributions the matching coefficients are available, therefore one can give a rough estimate of the obtained precision, which we expect to be at the level of 3% of the final result. This is comparable to the precision of our previously obtained static results [1].…”
Section: Discussionsupporting
confidence: 91%
“…Our approach is to use Heavy Quark Effective Theory (HQET) [2]. Results at the leading order of HQET, the static approximation, are described in [1]. There one can estimate the systematic error of the truncation of higher orders to be of order 15% -a number which is reduced to 1-2% when adding the O (1/m b ) terms.…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…Further results on form factors have been presented by the ALPHA [68,69] (N f = 2) HPQCD [70] (N f = 2 + 1), and the Fermilab/MILC prelim. 2014 [67] 3.72 ± 0.14 lattice, full q 2 range (HFAG) [39] 3.28 ± 0.29 LCSR (q 2 < 12) (HFAG) [74,39] 3.41 ± 0.06 [72] and on a coarser one (lattice spacing a ∼ 0.07 fm) by the APE collaboration [73].…”
Section: Exclusive Decaysmentioning
confidence: 97%