Electroweak Sudakov corrections

Melles, Michael

doi:10.1063/1.1394376

Cited by 5 publications

(6 citation statements)

References 11 publications

(20 reference statements)

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“…The analysis for the general electroweak processes given in [12] is in full agreement with [9], whereas a different prescription to separate the QED contribution is adopted in [11]. Higher order heavy fermion mass effects on the asymptotic high energy behavior of the electroweak amplitudes were discussed in [13]. The incomplete cancellation of the real and virtual electroweak double logarithmic corrections in the inclusive cross sections was investigated in [14].…”

Section: Introductionmentioning

confidence: 99%

Next-to-next-to-leading logarithms in four-fermion electroweak processes at high energy

et al. 2001

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We sum up the next-to-next-to-leading logarithmic virtual electroweak corrections to the high energy asymptotics of the neutral current four-fermion processes for light fermions to all orders in the coupling constants using the evolution equation approach. From this all order result we derive finite order expressions through next-to-next-to leading order for the total cross section and various asymmetries. We observe an amazing cancellation between the sizable leading, next-to-leading and next-to-next-toleading logarithmic contributions at TeV energies.PACS numbers: 12.38.Bx, 12.38.Cy, 12.15.Lk Experimental and theoretical studies of electroweak interactions have traditionally explored the range from very low energies, e.g. through parity violation in atoms, up to energies comparable to the masses of the W -and Z-bosons, e.g. at LEP or the Tevatron. The advent of multi-TeV-colliders like the LHC or a future linear electron-positron collider during the present decade will give access to a completely new energy domain.Once the characteristic energies s are far larger than the masses of the W -and Z-bosons, M W,Z , multiple soft and collinear gauge boson emission is kinematically possible. Conversely, exclusive reactions like electron-positron (or quark-antiquark) annihilation into a pair of fermions or gauge bosons will receive large negative corrections from virtual gauge boson emission. These double logarithmic "Sudakov" corrections [1,2] proportional to powers of g 2 ln 2 (s/M 2 W,Z ) are dominant at high energies and thus have to be controlled in higher orders to arrive at reliable predictions.The importance of large logarithmic corrections for electroweak reactions at high energies in one-loop approximation which may well amount to ten or even twenty percent was noticed already several years ago [3,4]. The need for a resummation of higher orders of these doublelogarithmic terms in the context of electroweak interactions was first emphasized in [5] which also contains a first discussion of this resummation. In particular, it was shown that the double logarithms do not depend on the details of the mechanism of the gauge boson mass generation. The issue is complicated by the appearance of massive (W , Z) and massless (γ) gauge bosons in the SU L (2) × U(1) theory, which necessarily have to be treated on a different footing. A complete analysis of this problem in the double or leading logarithmic (LL) approximation by the systematic separation of soft (ω γ ≤ M) and hard (ω γ ≥ M) photons was given in [6]. In two loops the results of this approach essentially based on the concept of infrared evolution equations have been confirmed by explicit calculations in [7].The large coefficient in front of the single logarithmic term in the one-loop corrections to the electroweak amplitudes (see, e.g. [8]) suggests that subleading terms play an important role also in higher orders, as long as realistic energies of order TeV are under consideration. Motivated by this observation a systematic evaluation of the next-to-leading...

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Section: Introductionmentioning

confidence: 99%

Next-to-next-to-leading logarithms in four-fermion electroweak processes at high energy

et al. 2001

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“…Since the non-factorizable weak corrections become large for di-lepton invariant masses above 1 TeV, they need to be resummed in order to obtain accurate predictions in this phase space region (for a recent review of the resummation of electroweak Sudakov-like logarithms see Ref. [43]). A calculation of Drell-Yan production in hadronic collisions which includes resummation of electroweak logarithms has not been carried out yet.…”

Section: B Weak Corrections To the Di-lepton Invariant Mass Distribumentioning

confidence: 99%

Electroweak radiative corrections to neutral-current Drell-Yan processes at hadron colliders

et al. 2002

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We calculate the complete electroweak O(α) corrections to p p (−) → l + l − X(l = e, µ) in the Standard Model (SM) of electroweak interactions. They comprise weak and photonic virtual one-loop corrections as well as real photon radiation to the parton-level processes qq → γ, Z → l + l − . We study in detail the effect of the radiative corrections on the l + l − invariant mass distribution, the cross section in the Z boson resonance region, and on the forward-backward asymmetry, A FB , at the Fermilab Tevatron and the CERN Large Hadron Collider. The weak corrections are found to increase the Z boson cross section by about 1%, but have little effect on the forward-backward asymmetry in the Z peak region. Threshold effects of the W box diagrams lead to pronounced effects in A FB at m(l + l − ) ≈ 160 GeV which, however, will be difficult to observe experimentally. At high di-lepton invariant masses, the non-factorizable weak corrections are found to become large.

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“…At ultra-high energies Sudakovtype logarithms of such scale ratios pile up, invalidating finite-order predictions and calling for new methods of resummation. Fortunately, as shown by M. Melles [19], these contributions are under control: they factorize and exponentiate and can thus be absorbed into universal correction factors.…”

Section: Trilinear Interactionsmentioning

confidence: 99%