scholarly journals Some New Transformation Properties of the Nielsen Generalized Polylogarithm

2014 ◽  
Vol 2014 ◽  
pp. 1-10
Author(s):  
Nina Shang ◽  
Qinghua Feng ◽  
Huizeng Qin
Keyword(s):  
Quantum Electrodynamics ◽  
Recurrence Formula ◽  
Fast Algorithms ◽  
Higher Order ◽  
Radiative Corrections ◽  
Special Value ◽  
Transformation Formulas ◽  
Generalized Polylogarithm

Many of the properties of Nielsen generalized polylogarithmSn,p(z), for example, the special value and the transformation formulas, play important roles in the computation of higher order radiative corrections in quantum electrodynamics. In this paper, some transformation formulas ofz→p(z),p(z)=1-z,1/z,1/(1-z),z/(z-1), and(1-z)/zare obtained. In particular, the last three transformation formulas are new results so far in the literature. By use of these transformation formulas presented, new fast algorithms for Nielsen generalized polylogarithmSn,p(z)can be designed. Forsn,p=Sn,p(1), a new recurrence formula is also given. The identities and the calculation ofσn,pandan,pare also investigated.

scholarly journals Discovery of higher-order quantum electrodynamics effect for the vacuum pair production

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
W. Zha ◽  
Z. Tang
Keyword(s):  
Pair Production ◽  
Quantum Electrodynamics ◽  
World Wide ◽  
Order Effect ◽  
Higher Order ◽  
Lepton Pair ◽  
Scientific Problem ◽  
Sigma Level ◽  
Level Of Significance ◽  
Important Milestone

Abstract The higher-order quantum electrodynamics (QED) effect for vacuum pair production has been searched without success since 1954. In this paper, we show that the combined world-wide data of lepton pair vacuum production is about 20% smaller than the latest lowest order QED calculation with a 5.2 sigma-level of significance and is consistent with the corresponding higher-order QED result. We claim the discovery of higher-order effect for the QED pair production, which settles the dust of previous debates for several decades. The verification of higher-order QED effect is a fundamental scientific problem, which is an important milestone towards the nonperturbative and nonlinear regime of QED vacuum.

Vacuum polarization of generalized quantum electrodynamics in the Heisenberg picture

2020 ◽  
Vol 35 (04) ◽  
pp. 2050012
Author(s):  
David Montenegro
Keyword(s):  
Quantum Electrodynamics ◽  
Vacuum Polarization ◽  
General Structure ◽  
Higher Order ◽  
Polarization Tensor ◽  
Induced Current ◽  
Heisenberg Picture ◽  
Qualitative And Quantitative ◽  
Physical Implication ◽  
Charge Renormalization

In this work, we consider the generalized quantum electrodynamics proposed by Podolsky in Heisenberg picture via Källén methodology. We investigate the effects of higher-order derivatives to understand the qualitative and quantitative aspects of vacuum polarization. In addition, the most general structure of induced current and polarization tensor that emerge naturally by a perturbative scheme “à la” Källén is also obtained. Afterward, we discuss the physical implication of charge renormalization in the perspective of unitary and stable Podolsky theory.

scholarly journals STATUS OF HIGHER-ORDER CORRECTIONS IN THE STANDARD ELECTROWEAK THEORY

1995 ◽  
Vol 10 (04) ◽  
pp. 443-464 ◽  
Author(s):  
BERND A. KNIEHL
Keyword(s):  
Standard Model ◽  
Higgs Sector ◽  
Higher Order ◽  
Threshold Effects ◽  
Electroweak Theory ◽  
Radiative Corrections ◽  
Gauge Sector ◽  
The Standard Model ◽  
Text Mode ◽  
Higher Order Corrections

We review recent theoretical progress in the computation of radiative corrections beyond one loop within the standard model of electroweak interactions, in both the gauge and Higgs sectors. In the gauge sector, we discuss universal corrections of [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text], and those due to virtual [Formula: see text]-threshold effects, as well as specific corrections to [Formula: see text] of [Formula: see text], [Formula: see text] and [Formula: see text] including finite-mb effects. We also present an update of the hadronic contributions to Δα. Theoretical uncertainties, other than those due to the lack of knowledge of MH and mt, are estimated. In the Higgs sector, we report on the [Formula: see text] corrections to [Formula: see text] including those which are specific for the [Formula: see text] mode, the [Formula: see text] corrections to [Formula: see text] including the finite-mq terms, and the [Formula: see text] corrections to Γ(H → gg).

scholarly journals Experimental Tests of Higher-Order Quantum Electrodynamics at Small Distances

1982 ◽  
Vol 48 (11) ◽  
pp. 721-725 ◽  
Author(s):  
B. Adeva ◽  
D. P. Barber ◽  
U. Becker ◽  
G. D. Bei ◽  
J. Berdugo ◽  
...  
Keyword(s):  
Quantum Electrodynamics ◽  
Experimental Tests ◽  
Higher Order

Higher order radiative corrections at LEP energies

1988 ◽  
Vol 297 (3) ◽  
pp. 429-478 ◽  
Author(s):  
F.A. Berends ◽  
W.L. Van Neerven ◽  
G.J.H. Burgers
Keyword(s):  
Higher Order ◽  
Radiative Corrections
Sign in / Sign up

Export Citation Format

Share Document