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NNVub: a Neural Network Approach to $B\to X_u \ell \nu$
High Energy Physics - Phenomenology · Submitted 26 Apr 2016
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The results are used to extract $|V_{ub}|$ in the GGOU framework and compared with the original GGOU paper and the latest HFAG results, finding good agreement in both cases.
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The abstract, sentence by sentence
We use artificial neural networks to parameterize the shape functions in inclusive semileptonic $B$ decays without charm. Our approach avoids the adoption of functional form models and allows for a straightforward implementation of all experimental and theoretical constraints on the shape functions. The results are used to extract $|V_{ub}|$ in the GGOU framework and compared with the original GGOU paper and the latest HFAG results, finding good agreement in both cases. The possible impact of future Belle-II data on the $M_X$ distribution is also discussed.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We use artificial neural networks to parameterize the shape functions in inclusive semileptonic $B$ decays without charm. | method 0.86 | 0.95 | 0.07 | asserted 1.00 |
| s1 | Our approach avoids the adoption of functional form models and allows for a straightforward implementation of all experimental and theoretical constraints on the shape functions. | method 0.70 | 0.81 | 0.10 | asserted 1.00 |
| s2 | The results are used to extract $|V_{ub}|$ in the GGOU framework and compared with the original GGOU paper and the latest HFAG results, finding good agreement in both cases. | result 1.00 | 0.93 | 0.69 | asserted 1.00 |
| s3 | The possible impact of future Belle-II data on the $M_X$ distribution is also discussed. | future work 0.94 | 0.56 | 0.03 | hedged possibility 0.61 |
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The paper
Original abstract
We use artificial neural networks to parameterize the shape functions in inclusive semileptonic $B$ decays without charm. Our approach avoids the adoption of functional form models and allows for a straightforward implementation of all experimental and theoretical constraints on the shape functions. The results are used to extract $|V_{ub}|$ in the GGOU framework and compared with the original GGOU paper and the latest HFAG results, finding good agreement in both cases. The possible impact of future Belle-II data on the $M_X$ distribution is also discussed.
Human review
References
How the literature uses it
8 arXiv papers cite this in 10 sentences
Papers citing it · 6 sentences without a confident label
Uses its data or values 2 papers
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The inclusive ones are summarized well in [ref] . _incl=(42.21±0.78)·10^-3, _incl=(4.40±0.25)·10^-3.
Universal Unitarity Triangle 2016 and the Tension Between $\Delta M_{s,d}$ and $\varepsilon_K$ in CMFV Models · Determination of the UUT · 0.96
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The inclusive ones are summarized well in [ref] _incl=(42.21±0.78)·10^-3, _incl=(4.40±0.25)·10^-3.
331 Models Facing the Tensions in $\Delta F=2$ Processes with the Impact on $\varepsilon^\prime/\varepsilon$, $B_s\to\mu^+\mu^-$ and $B\to K^*\mu^+\mu^-$ · Numerical Analysis · 0.99
Cites it as background 2 papers
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The latest analyses and theoretical progresses in semi-leptonic heavy to light decays involve power corrections [ref] , global fits to inclusive rare and semileptonic data [ref] and, most recently, exploratory lattice calculations of inclusive B meson semileptonic decay [ref] .
Selected updates on semileptonic $B$ decays and $|V_{xb}|$ determination · Inclusive $|V_ub|$ determination · 0.87
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In the future, more model-independent approaches aim to directly measure the leading-order shape function [ref] .
Measurements of Partial Branching Fractions of Inclusive $B \to X_u \, \ell^+\, \nu_{\ell}$ Decays with Hadronic Tagging · introduction · 0.82
What it cites · 22 sentences without a confident label
Uses the method or tool of 3 papers
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At higher $q^2$ the rate must be modelled and we employ the second method described in Sec. 5 of Ref. [ref] .
Inclusive semileptonic B decays and the determination of |V_ub| · Distribution Functions in $B →X_u ℓν̅_ℓ$ · 0.81
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The theoretical correlation between different $q^2$ bins is estimated with method C in Sec. 3 of [ref] .
Inclusive semileptonic fits, heavy quark masses, and V_cb · Results and discussion · 1.00
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Indeed, one can reweight the NN replicas using their $χ^2_X$, giving more importance to the replicas whose $M_X$ spectrum is closer to the experimental one and therefore have lower $χ^2_X$, see [ref] .
Reweighting NNPDFs: the W lepton asymmetry · Results and discussion · 0.98
Uses data or values from 2 papers
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In the GGOU approach [ref] it reads |V_ub|_incl=(4.51±0.16^+0.12_-0.15)×10^-4 and very close values are found with the other methods.
Inclusive semileptonic B decays and the determination of |V_ub| · Introduction · 0.93
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The OPE parameters are taken from [ref] and the theoretical uncertainties of the $F_i$ moments are estimated as in that paper.
Precision determination of the CKM element Vcb · Results and discussion · 0.85
Compares with 4 papers
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As a first step, we train the NN on the moments only and compare with the functional form error found in [ref] .
Inclusive semileptonic B decays and the determination of |V_ub| · Results and discussion · 1.00
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As we adopt up-to-date inputs, we can extract $|V_ub|$ from the latest experimental results and compare the results with the most recent HFAG compilation [ref] ; this is done in Table 1 for the most representative cases, using the isospin average $τ_B=1.582(5)$ps, employed in the derivation of the HFAG values.
Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of summer 2014 · Results and discussion · 0.97
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On the other hand, the values reported in the first three rows of Table 1 are consistent with the recent exclusive $|V_ub|$ results given in [ref] and [ref] within 1.5$σ$.
$B \to \pi \ell \nu$ and $B_s \to K \ell \nu$ form factors and $|V_{ub}|$ from 2+1-flavor lattice QCD with domain-wall light quarks and relativistic heavy quarks · Results and discussion · 0.99
Cites as background 14 papers
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The precise determination of the CKM matrix element $V_ub$ remains an important goal in flavour physics, instrumental in performing stringent tests of the CKM matrix unitarity, see [ref] for a review. $|V_ub|$ can be extracted from $b→u ℓν$ decays, and in in particular from $B→πℓν$, using lattice QCD [ref] or light-cone sum rules [ref] calculations of the relevant form factors.
Extrapolation and unitarity bounds for the $B \to \pi$ form factor · Introduction · 0.90
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The precise determination of the CKM matrix element $V_ub$ remains an important goal in flavour physics, instrumental in performing stringent tests of the CKM matrix unitarity, see [ref] for a review. $|V_ub|$ can be extracted from $b→u ℓν$ decays, and in in particular from $B→πℓν$, using lattice QCD [ref] or light-cone sum rules [ref] calculations of the relevant form factors.
Two-loop Corrections to the B to pi Form Factor from QCD Sum Rules on the Light-Cone and |V(ub)| · Introduction · 0.90
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The precise determination of the CKM matrix element $V_ub$ remains an important goal in flavour physics, instrumental in performing stringent tests of the CKM matrix unitarity, see [ref] for a review. $|V_ub|$ can be extracted from $b→u ℓν$ decays, and in in particular from $B→πℓν$, using lattice QCD [ref] or light-cone sum rules [ref] calculations of the relevant form factors.
$|V_{ub}|$ from $B\to\pi\ell\nu$ decays and (2+1)-flavor lattice QCD · Introduction · 0.90
Discussion
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