Summation of large corrections to short-distance hadronic cross sections

Sterman, George

doi:10.1016/0550-3213(87)90258-6

Cited by 834 publications

(1,477 citation statements)

References 28 publications

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“…For the Drell-Yan cross section and the deep-inelastic structure function F 2 such a refactorization was achieved in Ref. [3]. The resulting resummation of constant terms established to all orders the earlier observation [5] that, in the DIS-scheme Drell-Yan cross section, the largest constants are related to the ratio of the timelike Sudakov form factor to its spacelike continuation.…”

Section: Introductionmentioning

confidence: 89%

“…Let us begin by identifying how the Sudakov form factor arises in ω(N, ǫ), before mass factorization, following the reasoning of Ref. [3]. One observes that near threshold (i.e.…”

Section: Exponentiation In the Dis Schemementioning

confidence: 99%

“…They are well-defined as operator matrix elements, as given in Ref. [3], and are calculable in perturbation theory. Both functions are gauge-dependent, but their product in Eq.…”

Section: Exponentiation In the Dis Schemementioning

confidence: 99%

“…We will show that the refactorization formalism of Ref. [3] leads to the exponentiation of all N -independent contributions to the inclusive Drell-Yan cross section, both in the MS scheme and in the DIS scheme. As a corollary, one may note that all constant terms in the MS -scheme nonsinglet deep-inelastic structure function F 2 have been organized into an exponential form as well.…”

Section: Introductionmentioning

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%

See 4 more Smart Citations

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: Introductionmentioning

confidence: 89%

“…Let us begin by identifying how the Sudakov form factor arises in ω(N, ǫ), before mass factorization, following the reasoning of Ref. [3]. One observes that near threshold (i.e.…”

Section: Exponentiation In the Dis Schemementioning

confidence: 99%

“…They are well-defined as operator matrix elements, as given in Ref. [3], and are calculable in perturbation theory. Both functions are gauge-dependent, but their product in Eq.…”

Section: Exponentiation In the Dis Schemementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

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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Duality between Wilson loops and gluon amplitudes

Henn

2009

Fortschritte der Physik

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An intriguing new duality between planar MHV gluon amplitudes and light-like Wilson loops in N = 4 super Yang-Mills is investigated. We extend previous checks of the duality by performing a two-loop calculation of the rectangular and pentagonal Wilson loop. Furthermore, we derive an all-order broken conformal Ward identity for the Wilson loops and analyse its consequences. Starting from six points, the Ward identity allows for an arbitrary function of conformal invariants to appear in the expression for the Wilson loop. We compute this function at six points and two loops and discuss its implications for the corresponding gluon amplitude. It is found that the duality disagrees with a conjecture for the gluon amplitudes by Bern et al. A recent calculation by Bern et al indeed shows that the latter conjecture breaks down at six gluons and at two loops. By doing a numerical comparison with their results we find that the duality between gluon amplitudes and Wilson loops is preserved.

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One-Loop QCD Corrections to the Inclusive Production Cross-Section for Heavy Quarks inp Collisions at High Transverse Energies

Lampe¹

1992

Fortschr. Phys.

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We calculate one‐loop QCD corrections to the production cross‐section for heavy quarks in protonantiproton collisions. We are interested in the behaviour of the cross‐section at high transverse energies. At high PT the quark mass should become an irrelevant parameter. Therefore we work in the framework of massless QCD and absorb all mass singularities in a redefinition of the parton densities and fragmentation functions. Numerical results of the cross‐section at √S = 0.63, 1.8 and 10 TeV are presented and the dependence of these results on the factorization scheme is examined.

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Summation of large corrections to short-distance hadronic cross sections

Cited by 834 publications

References 28 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

Duality between Wilson loops and gluon amplitudes

One-Loop QCD Corrections to the Inclusive Production Cross-Section for Heavy Quarks inp Collisions at High Transverse Energies

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