A Precision Model Independent Determination of |Vub| from B -> pi e nu

Ben Grinstein; Iain W. Stewart; Ira Z. Rothstein; M. Christian Arnesen

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A Precision Model Independent Determination of |Vub| from B -> pi e nu

M. Christian Arnesen, Ben Grinstein, Ira Z. Rothstein, Iain W. Stewart

High Energy Physics - Phenomenology · Submitted 25 Apr 2005

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We find |Vub| =(3.54\pm 0.17\pm 0.44) x 10^{-3}.

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arXiv IDhep-ph/0504209 (version 1)

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CitationBen Grinstein, Iain W. Stewart, Ira Z. Rothstein, M. Christian Arnesen. "A Precision Model Independent Determination of |Vub| from B -> pi e nu." arXiv:hep-ph/0504209 (2005). https://pith.science/paper/X7HZKPRI

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A precision method for determining |Vub| using the full range in q^2 of B-> pi \ell nu data is presented. At large q^2 the form factor is taken from unquenched lattice QCD, at q^2=0 we impose a model independent constraint obtained from B-> pi pi using the soft-collinear effective theory, and the shape is constrained using QCD dispersion relations. We find |Vub| =(3.54\pm 0.17\pm 0.44) x 10^{-3}. With 5% experimental error and 12% theory error, this is competitive with inclusive methods. Theory error is dominated by the input points, with negligible uncertainty from the dispersion relations.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	A precision method for determining \|Vub\| using the full range in q^2 of B-> pi \ell nu data is presented.	contribution 0.97	0.88	0.13	asserted 0.98
s1	At large q^2 the form factor is taken from unquenched lattice QCD, at q^2=0 we impose a model independent constraint obtained from B-> pi pi using the soft-collinear effective theory, and the shape is constrained using QCD dispersion relations.	method 1.00	0.58	0.03	asserted 0.98
s2	We find \|Vub\| =(3.54\pm 0.17\pm 0.44) x 10^{-3}.	result 1.00	0.97	0.90	asserted 1.00
s3	With 5% experimental error and 12% theory error, this is competitive with inclusive methods.	interpretation 0.98	0.74	0.12	asserted 0.97
s4	Theory error is dominated by the input points, with negligible uncertainty from the dispersion relations.	interpretation 0.78	0.80	0.05	asserted 1.00

What kind of paper the classifier reports this is: method or tool 0.66 · evidence from analysis of existing data 0.96.

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Original abstract

A precision method for determining |Vub| using the full range in q^2 of B-> pi \ell nu data is presented. At large q^2 the form factor is taken from unquenched lattice QCD, at q^2=0 we impose a model independent constraint obtained from B-> pi pi using the soft-collinear effective theory, and the shape is constrained using QCD dispersion relations. We find |Vub| =(3.54\pm 0.17\pm 0.44) x 10^{-3}. With 5% experimental error and 12% theory error, this is competitive with inclusive methods. Theory error is dominated by the input points, with negligible uncertainty from the dispersion relations.

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References

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43 arXiv papers cite this in 57 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers whose main result relates to this one's

Found among the papers closest to this one by title and main claim. Pith's classifier compared each pair's main results and a second model family confirmed the relation; checked against two further families, shown conflicts agreed 118 times in 120 and shown same results 218 times in 239. The quoted sentence is the other paper's main claim.

States the same result 1 paper

We also obtain $|V_{ub}|=(3.54 \pm 0.30) \times 10^{-3}$ where, in our approach, the uncertainty is predominantly statistical.

Model-independent description of $B\to \pi l\nu$ decays and a determination of $|V_{ub}|$ · 0.95

Papers citing it · 27 sentences without a confident label

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We extrapolate these data over the full kinematic range of $q^2$ using the model-independent $z$ expansion [ref] with the Bourrely, Caprini, and Lellouch (BCL) parameterization [ref] .

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The outer functions used in the parameterizations of $f_+$ and $f_0$ take the form [ref] [These also agree with the expressions given in Eqs. (2.13) and (2.14) of Ref. [ref] , if expressed in terms of $z$ and using the same $t_*$ and $t_0$ as Ref. [ref] .] [equation] where we have set $r_q=√(t_*-q^2)$, $r_-=√(t_*-t_-)$ and $r_0=√(t_*-t_0)$ ($t_±$ are defined after Eq. [ref]).

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The discussion in this section reviews work by Boyd, Grinstein and Lebed [ref] , used also by Arnesen et al. [ref] .

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These include the two-parameter Bećirević-Kaidalov (BK) ansatz [ref] , the three-parameter Ball-Zwicky (BZ) ansatz [ref] , the so-called Series Expansion (SE) ansatz [ref] , as well as the representation from the Omnes solution to the dispersive bounds [ref] .

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See [ref] [ref] , and references therein for the explicit forms of these expressions.

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