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Extraction of $V_{ub}$ from the Decay $B\to \pi l \nu$
High Energy Physics - Phenomenology · Submitted 15 Sep 1994
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Combining predictions from the soft pion theorems, we extract the value of the matrix element $|V_{ub}|$ which is roughly $2.7\times 10^{-3}$.
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The abstract, sentence by sentence
We develop the perturbative QCD formalism including Sudakov effects for semi-leptonic $B$ meson decays. We evaluate the differential decay rate of $B\to \pi l \nu$, and find that the perturbative calculation is reliable for the energy fraction of the pion above 0.3. Combining predictions from the soft pion theorems, we extract the value of the matrix element $|V_{ub}|$ which is roughly $2.7\times 10^{-3}$.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We develop the perturbative QCD formalism including Sudakov effects for semi-leptonic $B$ meson decays. | method 0.59 | 0.94 | 0.05 | asserted 0.99 |
| s1 | We evaluate the differential decay rate of $B\to \pi l \nu$, and find that the perturbative calculation is reliable for the energy fraction of the pion above 0.3. | result 0.81 | 0.96 | 0.11 | asserted 1.00 |
| s2 | Combining predictions from the soft pion theorems, we extract the value of the matrix element $|V_{ub}|$ which is roughly $2.7\times 10^{-3}$. | result 1.00 | 0.93 | 0.88 | asserted 0.84 |
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The paper
Original abstract
We develop the perturbative QCD formalism including Sudakov effects for semi-leptonic $B$ meson decays. We evaluate the differential decay rate of $B\to \pi l \nu$, and find that the perturbative calculation is reliable for the energy fraction of the pion above 0.3. Combining predictions from the soft pion theorems, we extract the value of the matrix element $|V_{ub}|$ which is roughly $2.7\times 10^{-3}$.
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References
How the literature uses it
8 arXiv papers cite this in 10 sentences
Papers whose main result relates to this one's
States the same result 1 paper
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By combining predictions from the soft pion theorems, we estimate that the upper limit of the KM matrix element $|V_{ub}|$ is roughly 0.003.
Papers citing it · 5 sentences without a confident label
Uses its method or tool 2 papers
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The $k_T$ resummation is thus applied to the baryon wave functions to extract the Sudakov factors [ref] as in its application to meson wave functions [ref] .
$\Lambda_b\to p$ transition form factors in perturbative QCD · $k_T$ factorization · 0.80
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With the effective Hamiltonians at hand, one can in principle calculate the transition amplitude via the QCD factorization approach [ref] or perturbative QCD approach [ref] , etc..
CP violation induced by the interference of scalar and vector resonances in three-body decays of bottom mesons · Application to $B^±→K^±π^+π^-$ · 0.95
Cites it as support 1 paper
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Previous studies have substantiated this point, as elaborated in Refs. [ref] .
Probing $B^+ \to K^+$ semi-leptonic FCNC decay with new physics effects under PQCD approach · Kinematics and Wave Functions · 0.99
Cites it as background 2 papers
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Three different approaches to factorization in $B$ decays have been put forward: the so-called QCD factorization [ref] , perturbative QCD (PQCD) [ref] and Soft-Collinear Effective Theory (SCET) [ref] .
Searching for New Physics in b to s Hadronic Penguin Decays · Evaluation of hadronic matrix elements · 0.81
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The theoretical approaches based on factorization theorems in the heavy quark limit include light-cone QCD sum rules (LCSR) [ref] , the QCD-improved factorization (QCDF) [ref] , the perturbative QCD (PQCD) factorization [ref] , and the soft-collinear effective theory (SCET) [ref] .
Global Analysis of hadronic two-body B decays in the perturbative QCD approach · Introduction · 0.95
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