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High Power n of m_b in Beauty Widths and n=5 -> oo Limit

3 Pith papers cite this work. Polarity classification is still indexing.

3 Pith papers citing it
abstract

The leading term in the semileptonic width of heavy flavor hadrons depends on the fifth power of the heavy quark mass. We present an analysis where this power can be self-consistently treated as a free parameter n and the width can be studied in the limit n -> oo. The resulting expansion elucidates why the small velocity (SV) treatment is relevant for the inclusive semileptonic b->c transition. The extended SV limit (ESV limit) is introduced. The leading terms in the perturbative alpha_s expansion enhanced by powers of n are automatically resummed by using the low-scale Euclidean mass. The large-n treatment explains why the scales of order m_b/n are appropriate. On the other hand, the scale cannot be too small since the factorially divergent perturbative corrections associated with running of alpha_s show up. Both requirements are met if we use the short-distance mass normalized at a scale around m_b/n \sim 1 GeV. A convenient definition of such low-scale OPE-compatible masses is briefly discussed.

years

2026 2 2023 1

verdicts

UNVERDICTED 3

representative citing papers

Revisiting lifetimes of doubly charmed baryons

hep-ph · 2023-05-03 · unverdicted · novelty 5.0

Updated predictions within the heavy quark expansion confirm the lifetime hierarchy τ(Ξ_cc^+) < τ(Ω_cc^+) < τ(Ξ_cc^++) with τ(Ξ_cc^++) = 0.32 ± 0.05 +0.08/-0.07 ps matching LHCb data and provide ratios for the other states.

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