TY - JOUR

T1 - BFKL Pomeron with massive gluons

AU - Levin, Eugene

AU - Lipatov, Lev

AU - Siddikov, Marat

N1 - Publisher Copyright:
© 2014 American Physical Society.

PY - 2014/3/31

Y1 - 2014/3/31

N2 - We solve the BFKL equation in the leading logarithmic approximation numerically in the Yang-Mills theory with the Higgs mechanism for the vector boson mass generation. It can be considered as a model for the amplitude with the correct behavior of the s-channel partial waves at large impact parameters. The Pomeron spectrum of the massive BFKL kernel in the ω space for t=0 coincides with the continuous spectrum for the massless case although the density of its eigenvalues is 2 times smaller for ω>ω0, where ω0 is a negative number. We find a simple parametrization for the corresponding eigenfunctions. Because the leading singularity in the ω plane in this Higgs model for t=0 is a fixed cut, the Regge pole contributions could be only for nonphysical positive t. Hence we can state that the correct behavior at large b does not influence the main properties of the BFKL equation.

AB - We solve the BFKL equation in the leading logarithmic approximation numerically in the Yang-Mills theory with the Higgs mechanism for the vector boson mass generation. It can be considered as a model for the amplitude with the correct behavior of the s-channel partial waves at large impact parameters. The Pomeron spectrum of the massive BFKL kernel in the ω space for t=0 coincides with the continuous spectrum for the massless case although the density of its eigenvalues is 2 times smaller for ω>ω0, where ω0 is a negative number. We find a simple parametrization for the corresponding eigenfunctions. Because the leading singularity in the ω plane in this Higgs model for t=0 is a fixed cut, the Regge pole contributions could be only for nonphysical positive t. Hence we can state that the correct behavior at large b does not influence the main properties of the BFKL equation.

UR - http://www.scopus.com/inward/record.url?scp=84983784384&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.89.074002

DO - 10.1103/PhysRevD.89.074002

M3 - מאמר

AN - SCOPUS:84983784384

VL - 89

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

SN - 1550-7998

IS - 7

M1 - 074002

ER -