W and Z transverse momentum distributions: resummation in qT-space

Ellis, R. Keith; Veseli, Siniša

doi:10.1016/s0550-3213(97)00655-x

Cited by 150 publications

(202 citation statements)

References 34 publications

Supporting

Mentioning

193

Contrasting

Order By: Relevance

“…The two-loop QCD helicity amplitudes for the production of a Z or a W with a photon have also been calculated [33]. For small p T (p T m W , m Z ) the convergence of the fixed-order calculation is spoiled by the large logarithmic terms α n S log m (m 2 W /p 2 T ) that have to be resummed [34][35][36][37][38][39][40][41][42][43][44]. Finally, the rapidity distribution of a vector boson is known at the NNLO in QCD [45].…”

Section: Jhep09(2016)091mentioning

confidence: 99%

Two-loop master integrals for the mixed EW-QCD virtual corrections to Drell-Yan scattering

Bonciani

Vita

Mastrolia

et al. 2016

J. High Energ. Phys.

105

View full text Add to dashboard Cite

We present the calculation of the master integrals needed for the two-loop QCD×EW corrections to q +q → l − + l + and q +q → l − + ν , for massless external particles. We treat the W and Z bosons as degenerate in mass. We identify three types of diagrams, according to the presence of massive internal lines: the no-mass type, the onemass type, and the two-mass type, where all massive propagators, when occurring, contain the same mass value. We find a basis of 49 master integrals and evaluate them with the method of the differential equations. The Magnus exponential is employed to choose a set of master integrals that obeys a canonical system of differential equations. Boundary conditions are found either by matching the solutions onto simpler integrals in special kinematic configurations, or by requiring the regularity of the solution at pseudothresholds. The canonical master integrals are finally given as Taylor series around d = 4 spacetime dimensions, up to order four, with coefficients given in terms of iterated integrals, respectively up to weight four.

show abstract

Section: Jhep09(2016)091mentioning

confidence: 99%

Two-loop master integrals for the mixed EW-QCD virtual corrections to Drell-Yan scattering

Bonciani

Vita

Mastrolia

et al. 2016

J. High Energ. Phys.

105

View full text Add to dashboard Cite

show abstract

“…We finally mention that other methods for dealing with the behavior of the resummed exponent at large b have been discussed and used [38]. Also resummations directly in q T -space have been studied [56].…”

Section: Inverse Fourier Transform and Non-perturbative Correctionsmentioning

confidence: 99%

Resummation for polarized semi-inclusive deep-inelastic scattering at small transverse momentum

2006

View full text Add to dashboard Cite

We study the transverse-momentum distribution of hadrons produced in semi-inclusive deep-inelastic scattering (SIDIS). We consider cross sections for various combinations of polarizations of the initial lepton and nucleon or the produced hadron, for which we perform the resummation of large double-logarithmic perturbative corrections arising at small transverse momentum. We present phenomenological results for the processes lp → lπX with longitudinally polarized leptons and protons. We discuss the impact of the perturbative resummation and of estimated non-perturbative contributions on the corresponding cross sections and their spin asymmetry. Our results should be relevant for ongoing studies in the COMPASS experiment at CERN, and for future experiments at the proposed eRHIC collider at BNL.

show abstract

“…The only important nuclear effect left is the nuclear modification of parton distribution functions (shadowing). Therefore, Z 0 production could provide a bench mark test for pQCD at the LHC in both pp and nuclear collisions.Resummation of the large logarithms in QCD can be carried out either in p T -space directly [9], or in the socalled "impact parameter",b-space, which is a Fourier conjugate of the p T -space. Using the renormalization group equation technique, Collins and Soper improved theb-space resummation to resum all logarithms as singular as ln…”

mentioning

confidence: 99%

Z0 production as a test of nuclear effects at the LHC

Zhang

Fái

2002

Physics Letters B

View full text Add to dashboard Cite

We predict the Z 0 transverse momentum distribution from proton-proton and nuclear collisions at the LHC. After demonstrating that higher-twist nuclear effects are very small, we propose Z 0 production as a precision test for leading-twist pQCD in the TeV energy region. We also point out that shadowing may result in unexpected phenomenology at the LHC.The physics plans for the Large Hadron Collider (LHC) at CERN, which is going to be the highest-energy accelerator on Earth, include a heavy-ion program. Quantum Chromodynamics (QCD) for both hadronic and nuclear collision will enter a new era at the LHC, where we hope to discover new physics. However, "standard physics" needs to be tested in the new, high-energy regime.At LHC energies, perturbative QCD (pQCD) provides a powerful calculational tool [1]. Clearly, an understanding of pQCD at the hadronic collision level is a prerequisite for the discussion of particle production in nuclear collisions. Enhanced power corrections from multiple scattering in both the initial and final states, not to mention potential new physics from the quark-gluon plasma (QGP), make pQCD predictions for nuclear collisions more difficult than for hadronic collisions.The testing of pQCD in nuclear collisions at the LHC requires "clean processes", where pQCD works well on the hadron level. One of the important recent advances in pQCD theory is a reorganization of perturbative corrections (folding selected logarithmic contributions at all orders into exact low-order calculations), which is beginning to provide practical applications [2]. The softgluon resummation for the inclusive production of colorless massive states [3][4][5] may be the best understood and best tested among these resummation techniques. For the transverse momentum distribution of heavy bosons of mass M , when p T ≪ M , the p T distribution calculated order-by-order in α s in conventional fixed-order perturbation theory receives a large logarithm, ln(M 2 /p 2 T ), at every power of α s , even in the leading order in α s . Therefore, at sufficiently small p T , the convergence of the conventional perturbative expansion in powers of α s is impaired, and the logarithms must be resummed.The heavy-ion program at the LHC will make it possible to observe the full p T spectra of heavy vector bosons in nuclear collisions and will provide a testing ground for resummation theory in nuclear collisions. In the present paper, we focus on Z 0 production [6,7]. Based on LHC design luminosities [8], we estimate that a month of running will provide ∼ 4 * 10 5 Z 0 events in a proton-proton (pp) collision, and ∼ 8 * 10 2 Z 0 events in a Pb+Pb collision in a p T interval of 0.5 GeV in the peak regions of the corresponding spectra. Due to the large mass of the Z 0 , and no final state rescattering in its production, nuclear effects from final state interactions are expected to be small. We will show that the power corrections enhanced by initial state rescattering also remain small. Thus, leading twist pQCD should work well here. The only im...

show abstract

W and Z transverse momentum distributions: resummation in qT-space

Cited by 150 publications

References 34 publications

Two-loop master integrals for the mixed EW-QCD virtual corrections to Drell-Yan scattering

Two-loop master integrals for the mixed EW-QCD virtual corrections to Drell-Yan scattering

Resummation for polarized semi-inclusive deep-inelastic scattering at small transverse momentum

Z0 production as a test of nuclear effects at the LHC

Contact Info

Product

Resources

About