scholarly journals THE RUNNING COUPLING METHOD WITH NEXT-TO-LEADING ORDER ACCURACY AND PION, KAON ELM FORM FACTORS

1998 ◽  
Vol 13 (33) ◽  
pp. 2637-2643 ◽  
Author(s):  
SHAHIN S. AGAEV
Keyword(s):  
Asymptotic Distribution ◽  
Form Factors ◽  
Coupling Method ◽  
Numerical Calculations ◽  
Electromagnetic Form Factors ◽  
Leading Order ◽  
Coupling Constant ◽  
Order Accuracy ◽  
Running Coupling ◽  
Running Coupling Constant

The pion and kaon electromagnetic form factors FM(Q2) are calculated at the leading order of pQCD using the running coupling constant method. In calculations, the leading and next-to-leading order terms in αS((1-x)(1-y)Q2) expansion in terms of αS(Q2) are taken into account. The resummed expression for FM(Q2) is found. Results of numerical calculations for the pion (asymptotic distribution amplitude) are presented.

MESONS DISTRIBUTION AMPLITUDES IN THE "NAIVE NON-ABELIANIZATION" APPROXIMATION AND POWER-SUPPRESSED CORRECTIONS TO FM (Q2)

2000 ◽  
Vol 15 (22n23) ◽  
pp. 1419-1428 ◽  
Author(s):  
SHAHIN S. AGAEV ◽  
ABDULLA I. MUKHTAROV ◽  
YEGANA V. MAMEDOVA
Keyword(s):  
Form Factors ◽  
Electromagnetic Form Factors ◽  
Coupling Constant ◽  
Running Coupling ◽  
Running Coupling Constant

Power-suppressed corrections to the light pseudoscalar (π, K) and longitudinally polarized ρ-meson electromagnetic form factors FM (Q2) are estimated by means of the running coupling constant method. In calculating the mesons distribution amplitudes (DAs) found, the "naive non-abelianization" approximation is used. Comparisons are made with FM(Q2) obtained using the "ordinary" DAs and running coupling constant method, as well as with frozen coupling approximation's results.

THE KAON ELECTROMAGNETIC FORM FACTOR AND EFFECTS OF RUNNING COUPLING CONSTANT

1996 ◽  
Vol 11 (12) ◽  
pp. 957-963 ◽  
Author(s):  
SHAHIN S. AGAEV
Keyword(s):  
Form Factor ◽  
Electromagnetic Form Factor ◽  
Leading Order ◽  
Coupling Constant ◽  
Borel Transform ◽  
Running Coupling ◽  
Running Coupling Constant

The Borel transform and resummed expression for the kaon electromagnetic form factor Fk(Q2) are obtained in the context of QCD running coupling αs(Q2(1 − x)(1 − y)) approach. It is demonstrated that the effects of running coupling (ir renormalons) can be taken into account by scale-setting procedure αs(Q2)→αs(ef (Q2)Q2) in the leading order expression.

scholarly journals Muon-electron scattering at next-to-leading order accuracy

2019 ◽  
Vol 212 ◽  
pp. 05002
Author(s):  
Carlo M. Carloni Calame ◽  
Mauro Chiesa ◽  
Guido Montagna ◽  
Oreste Nicrosini ◽  
Fulvio Piccinini
Keyword(s):  
Monte Carlo Event ◽  
Event Generator ◽  
Radiative Corrections ◽  
Leading Order ◽  
Coupling Constant ◽  
High Precision Measurement ◽  
Running Coupling ◽  
Hadronic Correction ◽  
Running Coupling Constant

The next-to-leading order electro-weak radiative corrections to the µ±e- → µ±e- process are reviewed and their relevance is discussed for the MUonE experiment, proposed at CERN. The aim of MUonE is the high precision measurement of the QED running coupling constant in the space-like region, from which the full hadronic contribution can be extracted and used to provide a new and independent determination of the leading-order hadronic correction to the muon g − 2. In this context, the required accuracy demands that radiative corrections are accounted for at the highest level of precision and implemented into a Monte Carlo event generator for data analysis. The first step towards the final goal of theoretical precision, which will require the full set of NNLO corrections and resummation of higher orders, is the inclusion of NLO electro-weak corrections.

scholarly journals THE GROSS–NEVEU MODEL ON THE LIGHT-CONE

1995 ◽  
Vol 10 (06) ◽  
pp. 525-537 ◽  
Author(s):  
IGOR PESANDO
Keyword(s):  
Light Cone ◽  
Bound State ◽  
State Equation ◽  
Coupling Constant ◽  
Normal Ordering ◽  
Running Coupling ◽  
Running Coupling Constant ◽  
Light Cone Quantization ◽  
Gross Neveu Model

We consider the (massive) Gross–Neveu model using the light-cone quantization where we solve the constraints explicitly. We show that the vacuum is trivial and that the quantization fails when m = 0. We show that the running coupling constant emerges as a pure normal ordering effect and we discuss the bound state equation.

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