Bloch-Nordsieck cancellations beyond logarithms in heavy particle decays

M.Beneke; V.I.Zakharov; V.M.Braun

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Bloch-Nordsieck cancellations beyond logarithms in heavy particle decays

M.Beneke, V.M.Braun, V.I.Zakharov

High Energy Physics - Phenomenology · Submitted 16 May 1994

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim This observation justifies the operator product expansion for inclusive decays of heavy mesons and implies that infrared effects associated with the summation of the radiative corrections are suppressed by at least three powers of the mass of the heavy decaying particle.

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arXiv IDhep-ph/9405304 (version 1)

Pith IDTT6EVZFD, Pith's permanent record of this paper and its review

CitationM.Beneke, V.I.Zakharov, V.M.Braun. "Bloch-Nordsieck cancellations beyond logarithms in heavy particle decays." arXiv:hep-ph/9405304 (1994). https://pith.science/paper/TT6EVZFD

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,014 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.18 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.86 · compares with prior results 0.56 · mentions code or data availability 0.01.

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arXiv listing abstract v1. Results and the main claim are underlined; show every role.

We investigate the one-loop radiative corrections to the semileptonic decay of a charged particle at finite gauge boson mass. Extending the Bloch-Nordsieck cancellation of infrared logarithms, the subsequent non-analytic terms are also found to vanish after eliminating the pole mass in favor of a mass defined at short distances. This observation justifies the operator product expansion for inclusive decays of heavy mesons and implies that infrared effects associated with the summation of the radiative corrections are suppressed by at least three powers of the mass of the heavy decaying particle.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We investigate the one-loop radiative corrections to the semileptonic decay of a charged particle at finite gauge boson mass.	contribution 0.98	0.91	0.03	asserted 0.74
s1	Extending the Bloch-Nordsieck cancellation of infrared logarithms, the subsequent non-analytic terms are also found to vanish after eliminating the pole mass in favor of a mass defined at short distances.	result 0.99	0.92	0.54	asserted 1.00
s2	This observation justifies the operator product expansion for inclusive decays of heavy mesons and implies that infrared effects associated with the summation of the radiative corrections are suppressed by at least three powers of the mass of the heavy decaying particle.	interpretation 0.99	0.79	0.75	asserted 0.98

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.99.

What was examined, and what was not

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arXiv listing abstract v1

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full text
figures and tables
references and citing sentences
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The paper

Original abstract

We investigate the one-loop radiative corrections to the semileptonic decay of a charged particle at finite gauge boson mass. Extending the Bloch-Nordsieck cancellation of infrared logarithms, the subsequent non-analytic terms are also found to vanish after eliminating the pole mass in favor of a mass defined at short distances. This observation justifies the operator product expansion for inclusive decays of heavy mesons and implies that infrared effects associated with the summation of the radiative corrections are suppressed by at least three powers of the mass of the heavy decaying particle.

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References

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Absence of linear power corrections in heavy-quark pair production in a non-Abelian gauge theory
hep-ph 2026-10 accept novelty 7.0 of 10

Linear terms in the gluon mass cancel in the differential cross section for top-quark pair production in a broken SU(2) gauge theory through NNLO, provided a short-distance top mass is used.
Treating the b quark distribution function with reliable uncertainties
hep-ph 2008-07 conditional novelty 7.0 of 10

A complete orthonormal basis for the nonperturbative shape function, combined with renormalization-group evolution and moment constraints, gives a systematic handle on functional-form uncertainties in inclusive B decays.

How the literature uses it

10 arXiv papers cite this in 14 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

Papers citing it · 10 sentences without a confident label

Compares with it 2 papers

The presence of renormalons in leptonic observables seems to be in contrast with what is found in inclusive semileptonic decays of heavy flavours [ref] .

All-orders behaviour and renormalons in top-mass observables · Conclusions · 0.98
Note that the overall amplitude $C_F e^5/6/π$ here is the same as that for the mass renormalon series in the large $β_0$ limit [ref] .

Effects of threshold resummation for large-$x$ PDF in large momentum effective theory · The leading renormalon series · 0.84

Cites it as support 1 paper

Although less obvious, this is also the case for the factor $Γ(t→W b)$ (see Refs. [ref] ).

All-orders behaviour and renormalons in top-mass observables · Inclusive cross section without cuts · 0.99

Cites it as background 1 paper

This kind of contributions has been considered in the context of QED and QCD [ref] ; a more general approach with focus on the cancellation between real and virtual corrections can be found in [ref] .

Power suppressed corrections show new features of infrared cancellations · Introduction · 0.93

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