High Energy Physics - Phenomenology · arXiv:hep-ph/9402288 v1 · submitted 15 Feb 1994
Resummation of Nonperturbative Corrections to the Lepton Spectrum in Inclusive B → X ℓ ν̄ Decays
The paper says
“We show that both for b → c and b → u transitions, it is consistent to describe these effects by a convolution of the parton model spectrum with a fundamental light-cone structure function.”
from the abstract · picked out as the main claim by a classifier
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The paper
Abstract
We apply the operator product expansion to resum the leading nonperturbative corrections to the endpoint region of the lepton spectrum in inclusive semileptonic B → Xq ℓ ν̄ decays, taking into account a finite quark mass mq in the final state. We show that both for b → c and b → u transitions, it is consistent to describe these effects by a convolution of the parton model spectrum with a fundamental light-cone structure function. The moments of this function are proportional to forward matrix elements of higher-dimension operators. The prospects for an extraction of the structure function from a measurement of the lepton spectrum are discussed.
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abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: asserted 0.62
What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.20 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.09 · mentions code or data availability 0.02
The abstract, sentence by sentence
This table labels the abstract only (arXiv listing abstract v1). The number is the probability the classifier gave the label.
| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| We apply the operator product expansion to resum the leading nonperturbative corrections to the endpoint region of the lepton spectrum in inclusive semileptonic $B\to X_q\,\ell\,\bar\nu$ decays, taking into account a finite quark mass $m_q$ in the final state. | contribution 0.71 | 0.94 | 0.15 | asserted 0.99 |
| We show that both for $b\to c$ and $b\to u$ transitions, it is consistent to describe these effects by a convolution of the parton model spectrum with a fundamental light-cone structure function. | result 0.93 | 0.90 | 0.66 | asserted 0.62 |
| The moments of this function are proportional to forward matrix elements of higher-dimension operators. | result 0.65 | 0.67 | 0.11 | asserted 1.00 |
| The prospects for an extraction of the structure function from a measurement of the lepton spectrum are discussed. | future work 0.88 | 0.32 | 0.06 | unclear 0.67 |
What kind of paper the classifier reports this is: theoretical result 0.98 · evidence from proof or derivation 0.99
What was examined, and what was not
Sources read
- arXiv listing abstract v1
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- 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
How the labels were made
Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,696 input tokens, $0.0002 reported.
Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. This record as JSON
Cited by 10 Pith papers
Reviewed papers on Pith that cite this one. The full citation record
- Resummed Photon Spectra for WIMP Annihilation hep-ph · Dec 2017
- Factorization for Power Corrections to B->Xs gamma and B-> Xu e nu hep-ph · Sep 2004
- Renormalization-Group Improved Calculation of the B->Xs+gamma Branching Ratio hep-ph · Aug 2004
- Factorization and Shape-Function Effects in Inclusive B-Meson Decays hep-ph · Feb 2004
- Subleading Power Factorization with Radiative Functions hep-ph · May 2019
- Designing Gapped Soft Functions for Jet Production hep-ph · Sep 2007
- Power corrections to B\to X_u l \nu (X_s\gamma) decay spectra in the "shape-function" region hep-ph · Nov 2004
- Subleading Shape Functions in Inclusive B Decays hep-ph · Sep 2004
- Precise predictions for B -> Xc tau nu decay distributions hep-ph · Jun 2014
- The Standard Model as an Effective Field Theory hep-ph · Jun 2017
How the literature uses it
9 arXiv papers cite this in 15 sentences
Papers citing it · 9 sentences without a confident label
Cites it as background 6 papers
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The slight but interesting redistribution in that region is governed by the so-called shape function $S$ [ref] .
Shape function in QED and bound muon decays · Introduction · 0.85
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This is well known for $B→Xℓν$ decays [ref] .
Precise predictions for B -> Xc tau nu decay distributions · The $τ$ energy spectrum · 0.94
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In the $B$-physics literature, the endpoint region, which will be the focus of this paper, is also referred to as the shape function region [ref] .] * Exclusive Final State $((1-) =0)$ [ref] : Here the final state is exactly specified, either $γ γ$ or $γ Z$, and we have $z_cut=1$.
Resummed Photon Spectra for WIMP Annihilation · Three Effective Field Theory Regimes · 0.97
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