Two-loop QCD corrections to top quark width

Andrzej Czarnecki; Kirill Melnikov

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Two-loop QCD corrections to top quark width

Andrzej Czarnecki, Kirill Melnikov

High Energy Physics - Phenomenology · Submitted 3 Jun 1998

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

The authors' main claim We find that the O(alpha_s^2) effects decrease the top quark decay width Gamma_t by about 2%: Gamma_t = Gamma_0(1-0.8alpha_s(m_t)-1.7alpha_s^2).

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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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What the abstract itself states, as probabilities: claims first 0.06 · states limitation 0.75 · human participants 0.01 · controlled comparison 0.14 · randomized assignment 0.01 · states quantitative result 0.98 · compares with prior results 0.94 · mentions code or data availability 0.02.

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

We present O(alpha_s^2) corrections to the decay t-->bW in the limit of a very large top quark mass, m_t >> m_W. We find that the O(alpha_s^2) effects decrease the top quark decay width Gamma_t by about 2%: Gamma_t = Gamma_0(1-0.8alpha_s(m_t)-1.7alpha_s^2). The complete corrections are smaller by about 24% than their estimate based on the BLM effects O(beta_0 alpha_s^2). We explain how to compute a new type of diagrams which contribute to Gamma(t --> bW) at the O(alpha_s^2) level.

background contribution method result interpretation main claim

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 present O(alpha_s^2) corrections to the decay t-->bW in the limit of a very large top quark mass, m_t >> m_W.	contribution 1.00	0.95	0.11	asserted 1.00
s1	We find that the O(alpha_s^2) effects decrease the top quark decay width Gamma_t by about 2%: Gamma_t = Gamma_0(1-0.8alpha_s(m_t)-1.7alpha_s^2).	result 1.00	0.97	0.80	asserted 1.00
s2	The complete corrections are smaller by about 24% than their estimate based on the BLM effects O(beta_0 alpha_s^2).	result 0.89	0.78	0.11	asserted 1.00
s3	We explain how to compute a new type of diagrams which contribute to Gamma(t --> bW) at the O(alpha_s^2) level.	method 0.64	0.88	0.04	asserted 0.98

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.88.

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arXiv listing abstract v1

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full text
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P abstract

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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 present O(alpha_s^2) corrections to the decay t-->bW in the limit of a very large top quark mass, m_t >> m_W. We find that the O(alpha_s^2) effects decrease the top quark decay width Gamma_t by about 2%: Gamma_t = Gamma_0(1-0.8alpha_s(m_t)-1.7alpha_s^2). The complete corrections are smaller by about 24% than their estimate based on the BLM effects O(beta_0 alpha_s^2). We explain how to compute a new type of diagrams which contribute to Gamma(t --> bW) at the O(alpha_s^2) level.

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References

Forward citations

Cited by 9 Pith papers

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

Jets from Massive Unstable Particles: Top-Mass Determination
hep-ph 2007-03 accept novelty 7.0 of 10

A factorization theorem shows that top-jet invariant mass peaks are shifted upward and broadened by non-perturbative soft radiation, and defines a short-distance jet mass measurable to better than the QCD scale.
Top-quark processes at NLO in production and decay
hep-ph 2012-04 accept novelty 6.0 of 10

MCFM now computes top-pair and single-top production with NLO QCD corrections applied consistently in both the production and the decay stage, retaining the b-quark mass and all spin correlations.
Les Houches 2013: Physics at TeV Colliders: New Physics Working Group Report
hep-ph 2014-05 conditional novelty 5.0 of 10

Twenty contributed studies from the 2013 Les Houches New Physics working group cover Higgs coupling fits, vector-like quark and composite Higgs benchmarks, SUSY constraints, flavour observables and dark matter, includ...
Distributions and correlations for top quark pair production and decay at the Tevatron and LHC.
hep-ph 2010-03 accept novelty 5.0 of 10

A next-to-leading-order QCD plus weak calculation of top-pair charge asymmetries and spin correlations at the Tevatron and LHC, with selection cuts, agrees with Tevatron measurements and supplies Standard Model benchm...
HDECAY: Twenty++ Years After
hep-ph 2018-01 conditional novelty 4.0 of 10

The paper documents version 6.52 of HDECAY, which computes Higgs partial decay widths and branching ratios in the Standard Model, a four-generation Standard Model, rescaled-coupling scenarios, the four types of two-Hi...

Show 4 more citing papers

Top-quark pair production near threshold at LHC
hep-ph 2008-12 conditional novelty 4.0 of 10

Including the remnant of the 1S toponium peak raises the predicted top-pair invariant-mass distribution below threshold by roughly a factor of three relative to fixed-order QCD, with the effect concentrated in the col...
Handbook of LHC Higgs Cross Sections: 4. Deciphering the Nature of the Higgs Sector
hep-ph 2016-10 accept novelty 3.0 of 10

The report fixes the community's baseline numbers for Higgs boson production and decay at the 13 TeV LHC, including a 48.6 pb gluon-fusion cross section at N3LO with an explicit uncertainty budget.
Prospects for charged Higgs searches at the LHC
hep-ph 2016-07 accept novelty 3.0 of 10

A survey of charged-Higgs phenomenology in non-supersymmetric multi-doublet models concludes that Model II is pushed above roughly 480 GeV by B to Xs gamma, while Models I and X and dark-sector variants still allow a ...
Top quark physics at the LHC
hep-ph 2008-05 accept novelty 1.0 of 10

A 2008 review of what the LHC was expected to teach about top quarks: their decay, pair production, single production, spin effects, and possible new physics.

How the literature uses it

18 arXiv papers cite this in 22 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

Uses its data or values 3 papers

Generally, the QCD next-to-leading order (NLO) radiative corrections to the top quark's width amount to about $-8.54%$ [ref] , while the corrections of QCD two loops [ref] and electroweak one loop [ref] are about $-2.05%$ and $1.54%$ respectively.

Dijet Invariant Mass Distribution in Top Quark Hadronic Decay with QCD Corrections · Introduction · 0.97
The $^2$ correction, evaluated with a finite $$-quark mass and a finite $$-boson width in a soft-collinear effective theory and normalized to the LO, amounts to a further $∼-2.1 %$ [ref] .

Techniques for the treatment of IR divergences in decay processes at NLO and application to the top-quark decay · Conclusions · 0.86
The decay width $Γ(t →b W^+)$ is available at NNLO [ref] , while the decay width $Γ(t →b H^+)$ is available at NLO [ref] .

Prospects for charged Higgs searches at the LHC · Production cross sections · 0.89

Compares with it 1 paper

A comparison of our NLO QCD+EW prediction—with and without the additional NNLO correction of Refs. [ref] —reveals good agreement with the most recent measurement by the CMS experiment [ref] : [equation] However, the quoted experimental error is still one order of magnitude larger than the typical EW corrections of $∼ +1.3%$ addressed here.

Techniques for the treatment of IR divergences in decay processes at NLO and application to the top-quark decay · Conclusions · 0.81

Cites it as background 8 papers

The next-to-next-to-leading order (NNLO) QCD corrections to the top-quark decay width have been calculated in Refs. [ref] and Ref. [ref] about twenty years ago using asymptotic expansion in the $w ≡m_W^2/m_t^2→0$ and $w→1$ limit, respectively.

Analytic result for the top-quark width at next-to-next-to-leading order in QCD · Introduction · 0.93
The NNLO corrections were calculated in the large top quark mass limit in Refs. [ref] , and the full NNLO corrections were given in [ref] .

Decay of the charged Higgs boson and the top quark in two-Higgs-doublet model at NNLO in QCD · Introduction · 0.87
The corrections to the top-quark decay process $→$ are known at NLO [ref] and next-to-next-to-leading order (NNLO) [ref] in QCD and up to NLO for the electroweak (EW) corrections [ref] .

Techniques for the treatment of IR divergences in decay processes at NLO and application to the top-quark decay · Introduction · 0.90

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