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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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arXiv ID1011.6522 (version 2)
Pith IDYKEJLWAS, Pith's permanent record of this paper and its review
CitationGang L\"u, Xin-Heng Guo, Zhen-Hua Zhang. "QCD factorization for $\Lambda_b^0\to\Lambda_c^+\pi^-$." arXiv:1011.6522 (2010). https://pith.science/paper/YKEJLWAS
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The compiled record

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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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,638 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.61 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.06 · compares with prior results 0.86 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

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

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
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

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

What was examined, and what was not

sources read
  • arXiv listing abstract v2
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

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 $B \to D \pi$.

Human review
How the literature uses it

1 arXiv paper cite this in 2 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

What it cites · 10 sentences without a confident label

Uses the method or tool of 1 paper
Compares with 1 paper
Cites as background 2 papers
  • 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

  • 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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