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QCD factorization for $\Lambda_b^0\to\Lambda_c^+\pi^-$
High Energy Physics - Phenomenology · Submitted 30 Nov 2010
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We prove that in the limit $m_b, m_c\to\infty$ with $m_c/m_b$ fixed, factorization holds at order $\alpha_s$ for the decay $\Lambda_b^0\to\Lambda_c^+\pi^-$.
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
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The abstract, sentence by sentence
We prove that in the limit $m_b, m_c\to\infty$ with $m_c/m_b$ fixed, factorization holds at order $\alpha_s$ for the decay $\Lambda_b^0\to\Lambda_c^+\pi^-$. This proof is done in the infinite-momentum frame in which the momenta of $\pi$, $\Lambda_c$, and $\Lambda_b$ go to infinity. Our result is renormalization scale and scheme independent at $\mathcal{O}(\alpha_s)$. This is the same as QCD factorization for $B \to D \pi$.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We prove that in the limit $m_b, m_c\to\infty$ with $m_c/m_b$ fixed, factorization holds at order $\alpha_s$ for the decay $\Lambda_b^0\to\Lambda_c^+\pi^-$. | result 0.88 | 0.94 | 0.93 | asserted 1.00 |
| s1 | This proof is done in the infinite-momentum frame in which the momenta of $\pi$, $\Lambda_c$, and $\Lambda_b$ go to infinity. | method 1.00 | 0.89 | 0.04 | asserted 1.00 |
| s2 | Our result is renormalization scale and scheme independent at $\mathcal{O}(\alpha_s)$. | result 0.99 | 0.91 | 0.11 | asserted 1.00 |
| s3 | This is the same as QCD factorization for $B \to D \pi$. | interpretation 0.95 | 0.53 | 0.14 | asserted 1.00 |
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The paper
Original abstract
We prove that in the limit $m_b, m_c\to\infty$ with $m_c/m_b$ fixed, factorization holds at order $\alpha_s$ for the decay $\Lambda_b^0\to\Lambda_c^+\pi^-$. This proof is done in the infinite-momentum frame in which the momenta of $\pi$, $\Lambda_c$, and $\Lambda_b$ go to infinity. Our result is renormalization scale and scheme independent at $\mathcal{O}(\alpha_s)$. This is the same as QCD factorization for $B \to D \pi$.
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How the literature uses it
1 arXiv paper cite this in 2 sentences
What it cites · 10 sentences without a confident label
Uses the method or tool of 1 paper
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All the Feynman diagrams in this paper are drawn with the program JaxoDraw [ref] .
JaxoDraw: A graphical user interface for drawing Feynman diagrams · Introduction · 1.00
Compares with 1 paper
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This is similar to the case of QCD factorization for $B →Dπ$ [ref] .
QCD factorization for exclusive, non-leptonic B meson decays: General arguments and the case of heavy-light final states · Introduction · 0.85
Cites as background 2 papers
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The effective Hamiltonian for the weak decay $Λ_b^0→Λ_c^+π^-$ is [ref] [equation] where $G_F$ is the Fermi constant, $c_1$ and $c_2$ are Wilson coefficients at the scale $μ$ [which is $𝒪(m_b)$], $V_ud$ and $V_cb$ are Cabibbo-Kobayashi-Maskawa matrix elements, and $Q_1$ and $Q_2$ are four-quark operators that have the following form: [equation] where $u$, $d$, $c$, and $b$ represent quark-field operators, and the superscripts $i$ and $j$ are color indices.
Weak Decays Beyond Leading Logarithms · Introduction · 0.81
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In recent years, more and more experimental results about heavy baryons have been reported by various experimental collaborations [ref] .
Measurement of $b$ hadron masses in exclusive $J/\psi$ decays with the CDF detector · Introduction · 0.92
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