QCD factorization for $Λ_b^0\toΛ_c^+π^-$

Details QCD factorization for $Λ_b^0\toΛ_c^+π^-$ QCD factorization for $Λ_b^0\toΛ_c^+π^-$

2010-11-30

arxiv.org/abs/1011.6522v2

Phys.Rev.D83:031501,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

Scientific paper

10.1103/PhysRevD.83.031501

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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