The dilepton-production cross section in principal value resummation

Alvero, Lyndon; Contopanagos, Harry

doi:10.1016/0550-3213(95)00102-7

“…Another way to make it finite would be to avoid the infrared renormalon by a specific continuation around it, i.e. the principal value resummation method [19,20]. However, at the moment our total resummed corrections depend on the parameter µ 0 for which we can only make a rough estimate.…”

Section: −12mentioning

confidence: 99%

Top quark inclusive differential distributions

Kidonakis

¹

,

Smith

²

1995

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“…This process is related to the use of matching conditions in effective field theories. [10] A number of phenomenologically useful and theoretically important resummations of this type have been derived or postulated for quantities of experimental and theoretical interest, including the Sudakov form factor itself, [5][1] [3] the transverse momentum distribution of backto-back particles in e + e − annihilation [2] [11] and of Drell-Yan pairs, [12] the total Drell-Yan cross section [13] [14] [15] [16] [17] and a large class of infrared safe event shapes in e + e − annihilation, [18] as well as elastic scattering amplitudes at very high energy. [19] Closely related expressions apply to the momentum dependence of vacuum expectations of products of Wilson lines (ordered exponentials) [20] .…”

Section: Introductionmentioning

confidence: 99%

Sudakov factorization and resummation

Contopanagos

¹

,

Laenen

²

,

Sterman

³

1997

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We present a unified derivation of the resummation of Sudakov logarithms, directly from the factorization properties of cross sections in which they occur. We rederive in this manner the well-known exponentiation of leading and nonleading logarithmic enhancements near the edge of phase space for cross sections such as deeply inelastic scattering, which are induced by an electroweak hard scattering. For QCD hard-scattering processes, such as heavy-quark production, we show that the resummation of nonleading logarithms requires in general mixing in the space of the color tensors of the hard scattering. The exponentiation of Sudakov logarithms implies that many weighted cross sections obey particular evolution equations in momentum transfer, which streamline the computation of their Sudakov exponents. We illustrate this method with the resummation of soft-gluon enhancements of the inclusive Drell-Yan cross section, in both DIS and MS factorization schemes.

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“…We can also obtain a result to N 4 LO order where we can predict partial soft-plus-virtual contributions containing everything except the terms in for i = 1, ..., 4 for both DY (I = q) and Higgs (I = g, b) production. An alternative derivation of the NNLO DY soft-plus-virtual terms in the DIS renormalisation scheme can be found in [62], where they calculated di-lepton production cross sections at fixed target energies.The differential cross sections for I = q can be expanded in powers of the strong coupling constant asWe split the partonic cross section into hard and sv parts: Here we denote M = M l + l − . The abbreviation "pSV" means partial-soft-plusvirtual.…”

mentioning

confidence: 99%

“…We can also obtain a result to N 4 LO order where we can predict partial soft-plus-virtual contributions containing everything except the terms in for i = 1, ..., 4 for both DY (I = q) and Higgs (I = g, b) production. An alternative derivation of the NNLO DY soft-plus-virtual terms in the DIS renormalisation scheme can be found in [62], where they calculated di-lepton production cross sections at fixed target energies.…”

mentioning

confidence: 99%

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

Ravindran

¹

,

Smith

²

,

Neerven

³

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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The dilepton-production cross section in principal value resummation

Cited by 9 publications

References 32 publications

Top quark inclusive differential distributions

Top quark inclusive differential distributions

Sudakov factorization and resummation

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

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