Second-order contributions to the structure functions in deep inelastic scattering (I). Theoretical calculations

González-Arroyo, Antonio; López, C.; Ynduráin, Francisco

doi:10.1016/0550-3213(79)90596-0

Cited by 303 publications

(203 citation statements)

References 11 publications

Supporting

Mentioning

194

Contrasting

Order By: Relevance

“…As discussed above, our calculation via the optical theorem and a dispersion relation directly determines the coefficient function (3.1) for all odd-integer moments N in terms of harmonic sums [35,39,40]. From these functions the x-space expressions can be reconstructed algebraically [20,43] in terms of harmonic polylogarithms [41][42][43].…”

Section: Resultsmentioning

confidence: 99%

Third-order QCD corrections to the charged-current structure function

2009

View full text Add to dashboard Cite

We compute the coefficient function for the charge-averaged W ± -exchange structure function F 3 in deep-inelastic scattering (DIS) to the third order in massless perturbative QCD. Our new threeloop contribution to this quantity forms, at not too small values of the Bjorken variable x, the dominant part of the next-to-next-to-next-to-leading order corrections. It thus facilitates improved determinations of the strong coupling α s and of 1/Q 2 power corrections from scaling violations measured in neutrino-nucleon DIS. The expansion of F 3 in powers of α s is stable at all values of x relevant to measurements at high scales Q 2 . At small x the third-order coefficient function is dominated by diagrams with the colour structure d abc d abc not present at lower orders. At large x the coefficient function for F 3 is identical to that of F 1 up to terms vanishing for x → 1.

show abstract

Section: Resultsmentioning

confidence: 99%

Third-order QCD corrections to the charged-current structure function

2009

View full text Add to dashboard Cite

show abstract

“…Large collections of summation identities of the type that are needed for the present work can be found in the literature [37,38]. Although summation reduction algebra 2 Studies of the various multiloop integrals that are needed for the muon-decay calculation reveal a slightly more general threshold behaviour…”

Section: Examplementioning

confidence: 99%

On the precise determination of the Fermi coupling constant from the muon lifetime

2000

View full text Add to dashboard Cite

The determination of the Fermi coupling constant, G F , is examined in the light of recently calculated 2-loop QED corrections and planned experiments to measure the muon lifetime to a level below 1 ppm. The methods used in the calculation of the QED corrections are described in detail. Sources of the dominant theoretical and experimental uncertainties are identified. Finally the incorporation of G F into analyses using the full electroweak Standard Model is discussed.

show abstract

“…Since the anomalous dimensions γ n coincide with the flavor non-singlet anomalous dimensions, i.e., the moments of the splitting kernels in deep inelastic scattering, we can use for γ (1) n the results obtained in [131,132]; viz.,…”

Section: Appendix C: Two-loop Evolution Of the Pion Distribution Am-pmentioning

confidence: 99%

Publisher's Note: Pion form factor in QCD: From nonlocal condensates to next-to-leading-order analytic perturbation theory [Phys. Rev. D 70, 033014 (2004)]

Bakulev¹,

Passek‐Kumerički²,

Schroers³

et al. 2004

Phys. Rev. D

118

252

View full text Add to dashboard Cite

We present an investigation of the pion's electromagnetic form factor F π (Q 2 ) in the spacelike region utilizing two new ingredients: (i) a double-humped, endpoint-suppressed pion distribution amplitude derived before via QCD sum rules with nonlocal condensates-found to comply at the 1σ level with the CLEO data on the πγ transition-and (ii) analytic perturbation theory at the level of parton amplitudes for hadronic reactions. The computation of F π (Q 2 ) within this approach is performed at NLO of QCD perturbation theory (standard and analytic), including the evolution of the pion distribution amplitude at the same order. We consider the NLO corrections to the form factor in the MS scheme with various renormalization scale settings and also in the α Vscheme. We find that using standard perturbation theory, the size of the NLO corrections is quite sensitive to the adopted renormalization scheme and scale setting. The main results of our analysis are the following: (i) Replacing the QCD coupling and its powers by their analytic images, both dependencies are diminished and the predictions for the pion form factor are quasi scheme and scale-setting independent. (ii) The magnitude of the factorized pion form factor, calculated with the aforementioned pion distribution amplitude, is only slightly larger than the result obtained with the asymptotic one in all considered schemes. (iii) Including the soft pion form factor via local duality and ensuring the Ward identity at Q 2 = 0, we present predictions that are in remarkably good agreement with the existing experimental data both in trend and magnitude.

show abstract

Second-order contributions to the structure functions in deep inelastic scattering (I). Theoretical calculations

Cited by 303 publications

References 11 publications

Third-order QCD corrections to the charged-current structure function

Third-order QCD corrections to the charged-current structure function

On the precise determination of the Fermi coupling constant from the muon lifetime

Publisher's Note: Pion form factor in QCD: From nonlocal condensates to next-to-leading-order analytic perturbation theory [Phys. Rev. D 70, 033014 (2004)]

Contact Info

Product

Resources

About