Erratum to: “A complete calculation of the order α2 correction to the Drell–Yan K-factor”

Hamberg, Roelof; Neerven, W.L. van; Matsuura, T.

doi:10.1016/s0550-3213(02)00814-3

Cited by 398 publications

(399 citation statements)

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“…[5,6]. The next-to-next-to-leading order (NNLO) corrections have been completed so far only for the coefficient functions for inclusive lepton-proton DIS [7][8][9][10][11], the Drell-Yan process [12][13][14] and the related Higgs boson production [13,[15][16][17] in proton-proton collisions. Consequently, the threshold resummation has been carried out at the next-to-next-to-leading logarithmic (NNLL) accuracy only for these processes [18,19].…”

Section: Introductionmentioning

confidence: 99%

Higher-order corrections in threshold resummation

2005

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We extend the threshold resummation exponents G N in Mellin-N space to the fourth logarithmic (N 3 LL) order collecting the terms α 2 s (α s ln N) n to all orders in the strong coupling constant α s . Comparing the results to our previous three-loop calculations for deep-inelastic scattering (DIS), we derive the universal coefficients B q and B g governing the final-state jet functions to order α 3 s , extending the previous quark and gluon results by one and two orders. A curious relation is found at second order between these quantities, the splitting functions and the large-angle soft emissions in Drell-Yan type processes. We study the numerical effect of the N 3 LL corrections using both the fully exponentiated form and the expansion of the coefficient function in towers of logarithms.

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Section: Introductionmentioning

confidence: 99%

Higher-order corrections in threshold resummation

2005

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“…At the LHC, Higgs bosons will be predominantly produced through the gluon fusion process due to the large flux of gluons in the protons at these energies. They can be detected through the rare two photon decay mode which has less QCD background than other signals.In pQCD, the total cross sections for the DY production of di-leptons and Higgs boson production are known upto next-to-next-to-leading order (NNLO) level [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27]. However, due to the complexity involved with the top quark loops, the Higgs production cross sections are only known in the large top quark mass limit beyond the next-to-leading order (NLO).…”

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confidence: 99%

“…while the σ I are known for both DY and Higgs production upto NNLO level [17][18][19][20][21][22][23][24][25][26][27]. An alternative method is to take N → ∞ on both sides of eqn.…”

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confidence: 99%

QCD threshold corrections to di-lepton and Higgs rapidity distributions beyond N2LO

2007

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We present threshold enhanced QCD corrections to rapidity distributions of di-leptons in the DrellYan process and of Higgs particles in both gluon fusion and bottom quark annihilation processes using Sudakov resummed cross sections. We have used renormalisation group invariance and the mass factorisation theorem that these hard scattering cross sections satisfy as well as Sudakov resummation of QCD amplitudes. We find that these higher order threshold QCD corrections stabilise the theoretical predictions under scale variations.Perturbative Quantum Chromodynamics (pQCD) provides a framework to successfully compute various observables in the collisions of hadrons at high energies. Recent theoretical advances in the computations of higher order QCD radiative corrections have lead to precise results for several important observables. Because of this progress, we can now predict these observables with unprecedented accuracy for physics studies at the Tevatron collider in Fermilab as well as at the upcoming Large Hadron Collider (LHC) in CERN [1].The Drell-Yan (DY) production of di-leptons [2] has been one of the most important probes of the structure of hadrons. It is also one of the dominant production processes at hadron colliders. At the LHC, it will serve as a luminosity monitor which is very important to precisely calibrate the machine for searches for physics beyond the Standard Model (SM). In DY production, a pair of leptons is produced through the decay of virtual photons, Z and W bosons that result from the collisions of incoming partons (quarks and gluons) in the hadrons. At hadron colliders, the DY process provides precise measurements of various standard model parameters. Rapidity distributions of Z bosons [3] and charge asymmetries of leptons coming from W boson decays [4] can probe the structure of the hadrons and possible excess events in di-lepton invariant mass distributions can point to physics beyond the standard model such as R-parity violating supersymmetric models and models with Z ′ , or with contact interactions [5]. Both D0 and CDF collaborations [6] at the Fermilab Tevatron made precise measurements of Z and W production cross sections and asymmetries which not only allowed for stringent tests of the standard model but also play an important role in the Higgs search at future colliders. These measurements are also possible at the LHC due to the large cross sections for the DY process.The other process which is equally important is Higgs boson production at these colliders because it will establish the Standard Model as well as look for beyond the SM Higgs [7,8]. The Higgs boson, which is responsible for the electroweak symmetry breaking in the Standard Model, is yet to be discovered. The search for this particle has been going on at the Fermilab Tevatron and is one of the most important tasks for the CERN LHC. The LEP experiments in the past provided vital information on the possible mass range of this particle [9]. The lower bound on the mass is 114.4 GeV/c 2 and an upper bound is ...

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“…(2) in powers of α s (Q 2 ), up to two loops, with the exact results of [12], in terms of the coefficients a nm and b nm in the expression…”

Section: Extended Threshold Resummationmentioning

confidence: 87%

“…As a test, we used these rules to compute the abelian terms of the double-real emission contribution to the Drell-Yan process at two loops, we combined the result with the corresponding phase space and compared with the exact result [12]. We find …”

Section: Diagrammatic Approachmentioning

confidence: 99%