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

Eynck, Tim Oliver; Laenen, Eric; Magnea, Lorenzo

doi:10.1088/1126-6708/2003/06/057

Cited by 93 publications

(136 citation statements)

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“…(2.90) and (3.48), which allow to compute the "non-conformal" parts B and D of the standard "jet" and "soft" Sudakov effective charges J and S in terms of the virtual contribution B δ to the diagonal splitting function, and the quark form factor. While the second of these relations has a content equivalent to similar ones previously given in [17,18,21] for the DY process (which allow in particular to compute D 3 , yielding a result which agrees with the one obtained in [17,18,27,28]), its counterpart eq. (2.90) for the DIS case is new, and allows to compute B 3 with a method alternative to the one used in [5].…”

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confidence: 80%

Constant terms in threshold resummation and the quark form factor

Friot

Grunberg

2007

J. High Energy Phys.

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We verify to order α 4 s two previously conjectured relations, valid in four dimensions, between constant terms in threshold resummation (for Deep Inelastic Scattering and the Drell-Yan process) and the second logarithmic derivative of the massless quark form factor. The same relations are checked to all orders in the large-β 0 limit; as a by-product a dispersive representation of the form factor is obtained. These relations allow to compute in a symmetrical way the three-loop resummation coefficients B 3 and D 3 in terms of the three-loop contributions to the virtual diagonal splitting function and to the quark form factor, confirming results obtained in the literature.

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Section: ) Andsupporting

confidence: 80%

Constant terms in threshold resummation and the quark form factor

Friot

Grunberg

2007

J. High Energy Phys.

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“…Using factorization techniques based on dimensional regularization, it is possible to show [14] that for simple processes, such as DIS or EW annihilation, threshold resummation can be extended, so that all N -independent terms in the cross section exponentiate together with logarithms. Consider for example the Drell-Yan cross section.…”

Section: N -Independent Termsmentioning

confidence: 99%

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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“…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%

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

Cited by 93 publications

References 37 publications

Constant terms in threshold resummation and the quark form factor

Constant terms in threshold resummation and the quark form factor

Refining threshold resummations

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

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