Erratum to “Next-to-next-to-leading electroweak logarithms in W-pair production at ILC” [Nucl. Phys. B 795 (2008) 277]

Kühn, Johann H.; Metzler, F.; Penin, Alexander A.

doi:10.1016/j.nuclphysb.2009.04.006

Cited by 18 publications

(33 citation statements)

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“…The two-loop 2 ðL 4 ; L 3 ; L 2 Þ terms can be obtained using a one-loop renormalization-group improved computation. We have checked that the SCET formalism reproduced the known two-loop L n , n > 1 terms [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27].…”

Section: Structure Of the Logarithmsmentioning

confidence: 95%

Factorization structure of gauge theory amplitudes and application to hard scattering processes at the LHC

et al. 2009

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Previous work on electroweak radiative corrections to high-energy scattering using soft-collinear effective theory (SCET) has been extended to include external transverse and longitudinal gauge bosons and Higgs bosons. This allows one to compute radiative corrections to all parton-level hard scattering amplitudes in the standard model to next-to-leading-log order, including QCD and electroweak radiative corrections, mass effects, and Higgs exchange corrections, if the high-scale matching, which is suppressed by two orders in the log counting, and contains no large logs, is known. The factorization structure of the effective theory places strong constraints on the form of gauge theory amplitudes at high energy for massless and massive gauge theories, which are discussed in detail in the paper. The radiative corrections can be written as the sum of process-independent one-particle collinear functions, and a universal soft function. We give plots for the radiative corrections to q " q ! W T W T , Z T Z T , W L W L , and Z L H, and gg ! W T W T to illustrate our results. The purely electroweak corrections are large, ranging from 12% at 500 GeV to 37% at 2 TeV for transverse W pair production, and increasing rapidly with energy. The estimated theoretical uncertainty to the partonic (hard) cross section in most cases is below 1%, smaller than uncertainties in the parton distribution functions. We discuss the relation between SCET and other factorization methods, and derive the Magnea-Sterman equations for the Sudakov form factor using SCET, for massless and massive gauge theories, and for light and heavy external particles.

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Section: Structure Of the Logarithmsmentioning

confidence: 95%

Factorization structure of gauge theory amplitudes and application to hard scattering processes at the LHC

et al. 2009

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“…The one-loop coefficients can be extracted from the one-loop computation using expansion by region techniques [3][4][5]; they are sufficient to determine through the second equation in Eq. (6) the leading and next-to-leading logarithms at two-loop level, while to compute the two-loop NNLL one needs in addition γ (2) , which is also known [10].…”

Section: Evolution Equations For Su (N )mentioning

confidence: 99%

“…The explicit expression of U [5] can be obtained by exponentiating the logarithmic contribution for the real photon radiation. Another complication of the Standard Model with respect to a pure SU (N ) gauge theory is represented by the large Yukawa coupling of the third generation to the scalar (Higgs and Goldstone) bosons which results in specific logarithmic corrections proportional to m 2 t /M 2 W .…”

Section: Evolution Equations and The Electroweak Standard Modelmentioning

confidence: 99%

“…with no hypercharge interaction. Similarly to what done for the χ matrix, we introduce a vectorial form factor F = (F φ , F χH , F b,L , F t,L , F t,R ) T which satisfy the evolution equation [5]:…”

Section: Evolution Equations and The Electroweak Standard Modelmentioning

confidence: 99%

“…This requires an evaluation of the expected large loop corrections beyond the one-loop level. In the electroweak sector of the Standard Model, a complete two-loop computation of scattering processes is for the moment out of reach; however, by employing the evolution equation approach, the analysis of the dominant logarithmically enhanced two-loop corrections is possible [3][4][5]. In this framework we consider the production of a pair of W bosons, which constitutes an important background for Higgs production and decay at LHC and is a good test of the gauge trilinear couplings predicted by the Standard Model.…”

Section: Introductionmentioning

confidence: 99%

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Photonenergy‐Controlled Symmetry Breaking with Circularly Polarized Light

et al. 2013

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Circularly polarized light (CPL) is known to be a true chiral entity capable of generating absolute molecular asymmetry. However, the degree of inducible optical activity depends on the λ of the incident CPL. Exposure of amorphous films of rac-alanine to tunable CPL led to enantiomeric excesses (ee) which not only follow the helicity but also the energy of driving electromagnetic radiation. Postirradiation analyses using enantioselective multidimensional GC revealed energy-controlled ee values of up to 4.2 %, which correlate with theoretical predictions based on newly recorded anisotropy spectra g(λ). The tunability of asymmetric photochemical induction implies that both magnitude and sign can be fully controlled by CPL. Such stereocontrol provides novel insights into the wavelength and polarization dependence of asymmetric photochemical reactions and are highly relevant for absolute asymmetric molecular synthesis and for understanding the origins of homochirality in living matter.

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Erratum to “Next-to-next-to-leading electroweak logarithms in W-pair production at ILC” [Nucl. Phys. B 795 (2008) 277]

Cited by 18 publications

References 0 publications

Factorization structure of gauge theory amplitudes and application to hard scattering processes at the LHC

Factorization structure of gauge theory amplitudes and application to hard scattering processes at the LHC

NNLL Electroweak Corrections to W-Pair Production at LHC

Photonenergy‐Controlled Symmetry Breaking with Circularly Polarized Light

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