Resummation of the QCD perturbative series for hard processes

Catani, Stefano; Trentadue, L.

doi:10.1016/0550-3213(89)90273-3

Cited by 780 publications

(1,171 citation statements)

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“…Furthermore, we are now in a position to exponentiate also the one-loop contribution to the matching function, setting H DIS = exp (−α s C F /π). Gathering all factors, and formulating the answer according to standard notation [4], our result for the hard partonic Drell-Yan cross section in the DIS scheme takes the form…”

Section: Exponentiation In the Dis Schemementioning

confidence: 99%

“…Using the analysis of Section 8 of Ref. [3] we can now write 4) so that all virtual contributions are expressed in terms of the electromagnetic quark form factor Γ(Q 2 , ǫ). In fact, the residue of the quark propagator coincides with the virtual jet function summarizing virtual collinear contributions to the form factor, while the square root of the virtual eikonal function appearing in the cross section is responsible for the soft enhancements of Γ(Q 2 , ǫ).…”

Section: Exponentiation In the Dis Schemementioning

confidence: 99%

“…For cross sections, the large terms almost always take the form of logarithms of ratios of kinematical scales. In particular, threshold resummations [3,4] organize logarithmic enhancements singular at partonic threshold, resulting from imperfect cancellations between real and purely virtual contributions to the cross section. As partonic threshold is approached, these enhancements are parametrically guaranteed to increasingly dominate the perturbative contributions to the cross section.…”

Section: Introductionmentioning

confidence: 99%

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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.

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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Section: Exponentiation In the Dis Schemementioning

confidence: 99%

Section: Exponentiation In the Dis Schemementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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.

132

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“…In Section 3 we present results for the soft-resummed MS coefficient function. In particular, we shall compare the results on CC DIS with soft resummation in top quark decay [16,17] and we shall comment on the differences with respect to the previous work on light quark production in DIS [8,10,11]. In Section 4 we present our predictions on charm quark structure functions for several values of Q 2 which are relevant for NuTeV and HERA phenomenology.…”

Section: Introductionmentioning

confidence: 99%

“…Soft resummation for the coefficient function in DIS was first considered in [8,9,10] and later implemented in [11], but in the approximation in which all participating quarks are massless. Soft-gluon resummation for heavy quark production in DIS processes has been investigated in [12,13], where the authors have considered neutral current interactions.…”

Section: Introductionmentioning

confidence: 99%

Soft-gluon resummation for heavy quark production in charged-current Deep Inelastic Scattering

Corcella

Mitov

2004

Nuclear Physics B

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We study soft-gluon radiation for heavy quark production in charged-current Deep Inelastic Scattering processes. We resum large-x contributions to the MS coefficient function to next-to-leading logarithmic accuracy and present results for charm quark structure functions for several values of the ratio m c /Q. The effect of soft resummation turns out to be visible, especially at small Q 2 , and the results exhibit very little dependence on factorization and renormalization scales. The impact of our calculation on structure function measurements at NuTeV and HERA experiments is discussed.

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Gauge Invariant Chromoelectromagnetic Field and Hot Gluon Plasma Oscillations

Catani¹,

d’Emilio²

1993

Fortschr. Phys.

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A gauge invariant description of the chromoelectromagnetic field and colour current demands the use of nonlocal operators. We show that such operators can be constructed in a essentially unique way by enforcing full Poincark covariance, and that they are related through Maxwell, rather than Yang-Mills, equations. Their nonlocality entails the fact that causal and time-ordered propagators are no more the same object and, consequently, the relations between causal and retarded propagators, which in the case of local fields are derived by means of Lehman representation, break down. The linear response theory approach to the propagation of long wavelength oscillations in hot gluon plasma is then reconsidered in the light of the above circumstance. We obtain manifestly gauge invariant plasmon frequency and decay width by computing the retarded current-current commutator from its very definition in the real time formalism. In addition to finding the commonly accepted 1-loop value for the plasma frequency and a positive 1-loop value for the Landau damping, we are able to give a non-perturbative proof of the positivity of the decay width, regardless of the high temperature expansion. We finally discuss the coexistence of a positive plasmon width and ultraviolet asymptotic freedom. 18'

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Resummation of the QCD perturbative series for hard processes

Cited by 780 publications

References 50 publications

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

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

Soft-gluon resummation for heavy quark production in charged-current Deep Inelastic Scattering

Gauge Invariant Chromoelectromagnetic Field and Hot Gluon Plasma Oscillations

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