Sudakov logarithms in electroweak processes

A.A.Penin; J.H.K\"uhn

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Sudakov logarithms in electroweak processes

J.H.Kühn, A.A.Penin

High Energy Physics - Phenomenology · Submitted 30 Jun 1999

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

The authors' main claim In contrast to results in simple Yang-Mills theories these corrections do not exponentiate.

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What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.31 · human participants 0.01 · controlled comparison 0.10 · randomized assignment 0.01 · states quantitative result 0.06 · compares with prior results 0.91 · mentions code or data availability 0.01.

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The dominant electroweak double logarithmic corrections to the process $e^+e^-\to f\bar f$ at high energy are found in all orders of perturbation theory. In contrast to results in simple Yang-Mills theories these corrections do not exponentiate.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	The dominant electroweak double logarithmic corrections to the process $e^+e^-\to f\bar f$ at high energy are found in all orders of perturbation theory.	result 0.93	0.82	0.55	asserted 1.00
s1	In contrast to results in simple Yang-Mills theories these corrections do not exponentiate.	result 0.97	0.57	0.48	asserted 1.00

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

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The paper

Original abstract

The dominant electroweak double logarithmic corrections to the process $e^+e^-\to f\bar f$ at high energy are found in all orders of perturbation theory. In contrast to results in simple Yang-Mills theories these corrections do not exponentiate.

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References

Forward citations

Cited by 10 Pith papers

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

NLO QCD+EW predictions for HV and HV+jet production including parton-shower effects
hep-ph 2017-06 accept novelty 7.0 of 10

First NLO QCD+EW predictions for Higgsstrahlung plus zero or one jet, matched to a QCD+QED parton shower, with electroweak corrections reaching about -25% in boosted tails.
The two-loop vector form factor in the Sudakov limit
hep-ph 2006-03 accept novelty 7.0 of 10

The two-loop vector form factor in the Sudakov limit is evaluated from Feynman diagrams, yielding a new N3LL linear-logarithm coefficient built from Clausen and zeta constants.
Recursive generation of one-loop amplitudes in the Standard Model
hep-ph 2012-11 accept novelty 6.0 of 10

A recursive, diagram-free algorithm computes one-loop Standard Model amplitudes as sums of tensor integrals and reproduces an independent Feynman-diagrammatic code to per-mille accuracy on Z plus two jets at the LHC.
Electroweak corrections to W-boson pair production at the LHC
hep-ph 2012-08 conditional novelty 6.0 of 10

The first complete one-loop electroweak corrections to on-shell W-pair production at hadron colliders show photon-induced channels growing large at high energy while extra massive-boson radiation stays below about 5 percent.
One-loop leading logarithms in electroweak radiative corrections, I. Results
hep-ph 2000-10 conditional novelty 6.0 of 10

The paper derives and tabulates the complete one-loop leading and subleading electroweak logarithmic corrections for arbitrary high-energy processes, with explicit results for four-fermion and gauge-boson-pair production.

Show 5 more citing papers

Bloch-Nordsieck violating electroweak corrections to inclusive TeV scale hard processes
hep-ph 2000-01 conditional novelty 6.0 of 10

Because collider beams carry fixed weak isospin, electroweak double logarithms survive in inclusive TeV cross sections instead of cancelling, at the several-percent level and growing with energy.
Resummation of double logarithms in electroweak high energy processes
hep-ph 1999-10 conditional novelty 6.0 of 10

The Sudakov double logarithms of electroweak scattering amplitudes exponentiate, and the exponent is computed by an infrared evolution equation matched across the W, Z and Higgs mass thresholds.
Electroweak corrections to hadronic photon production at large transverse momenta
hep-ph 2005-08 conditional novelty 5.0 of 10

Weak radiative corrections to direct photon production are negative, grow with transverse momentum to about -17% at 2 TeV at the LHC, and shift the photon-to-Z cross-section ratio appreciably.
Electroweak Radiative Corrections to pp/ppbar -> W+/- -> l+/- nu Beyond the Pole Approximation
hep-ph 2004-05 conditional novelty 5.0 of 10

Non-resonant electroweak corrections beyond the pole approximation reduce the high transverse-mass W tail by roughly 10 percent and bias the W width extracted from that tail by about -7 MeV.
UFO 2.0 -- The Universal Feynman Output format
hep-ph 2023-04 conditional novelty 3.0 of 10

The paper specifies version 2.0 of the UFO model format, collecting previously published extensions for decays, propagators, running and NLO counterterms, and adding new syntax for form factors and electroweak Sudakov data.

How the literature uses it

12 arXiv papers cite this in 13 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 4 papers

In all cases the Sudakov double logarithms are found to exponentiate.

Resummation of double logarithms in electroweak high energy processes · 0.99
Contrary to recent claims in the literature, we find that the calculation performed with the physical Standard Model fields is in perfect agreement with the results from the infrared evolution equation method.

Mass gap effects and higher order electroweak Sudakov logarithms · 0.95
In this sense the Standard Model behaves like an unbroken theory at high energies.

New Insights into the Perturbative Structure of Electroweak Sudakov Logarithms · 0.90
We show that the leading logarithmic corrections coming from the infrared singularities are consistent with the "postulated" exponentiated electroweak Sudakov form factor.

Electroweak Sudakov at two loop level · 0.90

Papers citing it · 7 sentences without a confident label

Uses its data or values 1 paper

σ_tt̅Z ×ℬ_Z→ℓℓ ×ℬ_tt̅→ℓν+jets ≈1 pb ×3% ×33% ≈10 fb for the $tt̅Z$ process [ref] and for the next-to-leading order (NLO) electroweak contribution to $tt̅$ production [We neglect electroweak Sudakov enhancement [ref] in this estimate and simply use a multiplication with the fine structure constant $α$.] [ref]

Electroweak Loops as a Probe of New Physics in $t\bar{t}$ Production at the LHC · Introduction · 0.95

Cites it as background 5 papers

To be more precise, in the Sudakov regime, where all kinematic invariants $r_jk$ are of the same order $s$ and much larger than the electroweak scale, $r_jk∼s≫m_W^2$, EW corrections are dominated by double/leading logarithms (LL) and single/next-to-leading logarithms (NLL) of the ratio of the energy scale to the weak gauge-boson masses [ref] .

Logarithmic EW corrections at one-loop · Introduction · 0.88
In the regime of Eq. [ref], the one- and two-loop EW corrections are dominated by logarithmic terms of the form [ref] [equation] where $δ̂_k^LL$ and $δ̂_k^NLL$ are the $𝒪(α^k)$ leading- and next-to-leading logarithmic correction operators, $a$ and $b$ are constants[These constants are in general complex numbers due to the presence of the additional $iπ$ factors coming from analytical continuation of $log(-r_jk)$.

Logarithmic EW corrections at two-loop · Notation and Logarithmic Approximation · 0.80
This observation has led to numerous studies for exclusive reactions [ref] , ranging from purely electroweak four-fermion processes or $W$-pair production at electron-positron colliders to the hadronic production of $Z$, $γ$ [ref] or $W$ [ref] at large transverse momenta.

Electroweak Sudakov Logarithms and Real Gauge-Boson Radiation in the TeV Region · Introduction · 0.88

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