Longitudinal, transverse-plus and transverse-minus W-bosons in unpolarized top quark decays at O(alpha_s)

J.G. K\"orner; M.C. Mauser; M. Fischer; S. Groote

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Longitudinal, transverse-plus and transverse-minus W-bosons in unpolarized top quark decays at O(alpha_s)

M. Fischer, S. Groote, J.G. Körner, M.C. Mauser

High Energy Physics - Phenomenology · Submitted 6 Nov 2000

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

The authors' main claim The O(alpha_s) radiative corrections lower the normalized longitudinal rate Gamma_L/Gamma by 1.06% and increase the the normalized transverse-minus rate Gamma_-/Gamma by 2.17%.

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arXiv IDhep-ph/0011075 (version 2)

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CitationJ.G. K\"orner, M.C. Mauser, M. Fischer, S. Groote. "Longitudinal, transverse-plus and transverse-minus W-bosons in unpolarized top quark decays at O(alpha_s)." arXiv:hep-ph/0011075 (2000). https://pith.science/paper/JCWH5E5V

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.49 · human participants 0.01 · controlled comparison 0.21 · randomized assignment 0.01 · states quantitative result 0.99 · compares with prior results 0.81 · mentions code or data availability 0.01.

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We consider the O(alpha_s) radiative corrections to the decay of an unpolarized top quark into a bottom quark and a W-gauge boson where the helicities of the W are specified as longitudinal, transverse-plus and transverse-minus. The O(alpha_s) radiative corrections lower the normalized longitudinal rate Gamma_L/Gamma by 1.06% and increase the the normalized transverse-minus rate Gamma_-/Gamma by 2.17%. We find that the normalized transverse-plus rate Gamma_+/Gamma, which vanishes at the Born term level for m_b->0, receives radiative correction contributions at the sub-percent level. We discuss m_b!=0 effects for the Born term and the alpha_s-contributions but find these to be small. Our results are discussed in the light of recent measurements of the helicity content of the W in top quark decays by the CDF Collaboration.

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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 consider the O(alpha_s) radiative corrections to the decay of an unpolarized top quark into a bottom quark and a W-gauge boson where the helicities of the W are specified as longitudinal, transverse-plus and transverse-minus.	contribution 0.99	0.83	0.06	asserted 0.79
s1	The O(alpha_s) radiative corrections lower the normalized longitudinal rate Gamma_L/Gamma by 1.06% and increase the the normalized transverse-minus rate Gamma_-/Gamma by 2.17%.	result 1.00	0.92	0.62	asserted 1.00
s2	We find that the normalized transverse-plus rate Gamma_+/Gamma, which vanishes at the Born term level for m_b->0, receives radiative correction contributions at the sub-percent level.	result 1.00	0.96	0.14	asserted 1.00
s3	We discuss m_b!=0 effects for the Born term and the alpha_s-contributions but find these to be small.	result 0.95	0.94	0.05	asserted 1.00
s4	Our results are discussed in the light of recent measurements of the helicity content of the W in top quark decays by the CDF Collaboration.	interpretation 0.97	0.40	0.04	asserted 0.52

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.79.

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arXiv listing abstract v2

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The paper

Original abstract

We consider the O(alpha_s) radiative corrections to the decay of an unpolarized top quark into a bottom quark and a W-gauge boson where the helicities of the W are specified as longitudinal, transverse-plus and transverse-minus. The O(alpha_s) radiative corrections lower the normalized longitudinal rate Gamma_L/Gamma by 1.06% and increase the the normalized transverse-minus rate Gamma_-/Gamma by 2.17%. We find that the normalized transverse-plus rate Gamma_+/Gamma, which vanishes at the Born term level for m_b->0, receives radiative correction contributions at the sub-percent level. We discuss m_b!=0 effects for the Born term and the alpha_s-contributions but find these to be small. Our results are discussed in the light of recent measurements of the helicity content of the W in top quark decays by the CDF Collaboration.

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8 arXiv papers cite this in 17 sentences

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Papers whose main result relates to this one's

Found among the papers closest to this one by title and main claim. Pith's classifier compared each pair's main results and a second model family confirmed the relation; checked against two further families, shown conflicts agreed 118 times in 120 and shown same results 218 times in 239. The quoted sentence is the other paper's main claim.

States a conflicting result 1 paper

The O(alpha_s) radiative corrections lower the normalized longitudinal rate Gamma_L/Gamma by 0.8%.

O(alpha_s) corrections to longitudinal and transverse W-bosons in top quark decays · 0.83

Papers citing it · 8 sentences without a confident label

Uses its method or tool 2 papers

To project out the desired helicities of the $W$ boson we use the technique of covariant projectors as described by Fischer et al. in Ref. [ref] .

New physics in t-> b W decay at next-to-leading order in QCD · Results · 1.00
The longitudinal projector reads [ref] [equation] where $p$ is the top quark momentum and $q = (q_0;0,0,)$ is the momentum of the $W$ boson which propagates in the $z$-direction.

Helicity fractions of W bosons from top quark decays at NNLO in QCD · Introduction · 0.85

Uses its data or values 2 papers

Taking the non-zero $b$-quark mass into account yields very small corrections, leading to a non-zero fraction of $W$ bosons in top-quark decay with positive helicity $f_+ = 3.6·10^-4$ at Born level [ref] .

Top-Antitop-Quark Production and Decay Properties at the Tevatron · W-Boson Helicity in Top-Quark Decays · 0.80
The nonvanishing $m_b$ effects [ref] and finite width corrections [ref] reduce the Born level width by about $0.27%$ and $1.55%$.

Dijet Invariant Mass Distribution in Top Quark Hadronic Decay with QCD Corrections · Introduction · 0.92

Compares with it 3 papers

A NLO check of the new methods used in this paper is afforded by comparing with the expanded form of the known NLO closed form results given in [ref] .

Helicity fractions of W bosons from top quark decays at NNLO in QCD · Introduction · 1.00
Secondly, integrating $dΓ̂_b^λ/dx_b$ over $x_b$, we recover the results presented in Eqs. (15)–(17) of Ref. [ref] .

Bottom-flavored hadrons from top-quark decay at next-to-leading order in the general-mass variable-flavor-number scheme · Analytic results for $dΓ(t→Bℓ^+ν_ℓ+X)$$/(dx_B dcosθ)$ · 0.99
We have crosschecked $Γ^i_a$ with the corresponding expressions given in [ref] and found agreement between the results.

New physics in t-> b W decay at next-to-leading order in QCD · The decay rates · 1.00

Cites it as background 1 paper

There are a lot of works already about top quark decays [ref] .

Dijet Invariant Mass Distribution in Top Quark Hadronic Decay with QCD Corrections · Introduction · 1.00

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