Sudakov factorization and resummation

Contopanagos, Harry; Laenen, Eric; Sterman, George

doi:10.1016/s0550-3213(96)00567-6

Cited by 267 publications

(482 citation statements)

References 64 publications

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“…This result was previously obtained in [7,18], by comparing the results of resummation with the two-loop calculation of Ref. [19], along the lines of [20].…”

Section: Ew Annihilation and Dissupporting

confidence: 73%

Refining threshold resummations

Laenen

Magnea

2006

Nuclear Physics B - Proceedings Supplements

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We describe some recent refinements of the techniques of threshold resummation, with emphasis on the usefulness of dimensional regularization when applied to nonabelian exponentiation. Threshold resummation is now under theoretical control for DIS and electroweak annihilation cross sections all the way to the fourth tower of logarithms and up to corrections suppressed by powers of the threshold variable.

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“…This result was previously obtained in [7,18], by comparing the results of resummation with the two-loop calculation of Ref. [19], along the lines of [20].…”

Section: Ew Annihilation and Dissupporting

confidence: 73%

Refining threshold resummations

Laenen

Magnea

2006

Nuclear Physics B - Proceedings Supplements

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“…[13,14] through matching to the two-loop cross sections of Ref. [28,29], by using only information from purely virtual contributions.…”

Section: Real Emission Contributionsmentioning

confidence: 99%

Exponentiation of the Drell-Yan cross section near partonic threshold in the DIS and MS-bar schemes

Eynck

Laenen

Magnea

2003

J. High Energy Phys.

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132

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It has been observed that in the DIS scheme the refactorization of the DrellYan cross section leading to exponentiation of threshold logarithms can also be used to organize a class of constant terms, most of which arise from the ratio of the timelike Sudakov form factor to its spacelike counterpart. We extend this exponentiation to include all constant terms, and demonstrate how a similar organization may be achieved in the MS scheme. We study the relevance of these exponentiations in a two-loop analysis.

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“…See [28,29,60,61] for resummation of total cross sections. We show in the following how the soft distribution functions Φ I d (â s , q 2 , µ 2 , z 1 , z 2 , ε) capture all the features of the N space resummation approach.…”

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confidence: 99%

“…Hence, adding the eqn. (38) to the renormalised form factors and the mass factorisation kernels, performing the coupling constant renormalisation, and then finally taking the double Mellin moment in N 1 , N 2 , we get the resummed result analogous to the threshold resummation formula that one obtains for the total inclusive cross sections(see [28,29,60,61]) when ε → 0. A similar result for the resummed rapidity distribution scheme can be found in [29].…”

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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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Sudakov factorization and resummation

Cited by 267 publications

References 64 publications

Refining threshold resummations

Refining threshold resummations

Exponentiation of the Drell-Yan cross section near partonic threshold in the DIS and MS-bar schemes

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

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