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

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.

1996 ◽  
Vol 11 (12) ◽  
pp. 957-963 ◽  
Author(s):  
SHAHIN S. AGAEV

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.


1995 ◽  
Vol 433 (2) ◽  
pp. 390-400 ◽  
Author(s):  
G.M. de Divitiis ◽  
R. Frezzotti ◽  
M. Guagnelli ◽  
R. Petronzio

2005 ◽  
Vol 20 (08n09) ◽  
pp. 1955-1958
Author(s):  
A. MIRJALILI ◽  
ALI N. KHORRAMIAN ◽  
S. ATASHBAR TEHRANI

To obtain the improved QCD predictions for the moments of the xF3 structure function in νN scattering, three-loop Wilson coefficients with the corresponding NNLO anomalous dimension coefficients is used. A comparison between QCD predictions and the xF3 data of the CCFR collaboration has been done in which the Bernstein Polynomial method is used in the complete renormalization group improvement approach. A direct fits for [Formula: see text] over the corresponding range of Q2 with five effective quark flavours, is performed.


1998 ◽  
Vol 13 (33) ◽  
pp. 2637-2643 ◽  
Author(s):  
SHAHIN S. AGAEV

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.


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