Comparison of QCD curves with elastic pp scattering data

Abstract

Using previously described functional techniques for some non-perturbative, gauge invariant, renormalized QCD processes, a simplified version of the amplitudes -in which forms akin to Pomerons naturally appear -provides fits to ISR and LHC-TOTEM pp elastic scattering data. Those amplitudes rely on a specific function ϕ( b) which describes the fluctuations of the transverse position of quarks inside hadrons.

QCD Effective Locality: A Theoretical and Phenomenological Review

“…Due to the relative complexity of the computations for arriving at useful formulas, the results are given without details, those details being supplied in [3,5] and [41] Chapter 12, and [42].…”

“…Keeping only the first term of the exponential (one fermion loop) in the eikonal approximation, and integrating over the angular variables, one finds ( [3], Equations (40), and [42] Equation (19)),…”

“…That leads to two cross-sections, dσ pp 1 dt and dσ pp 2 dt , whose expressions are not too illuminating, and are given in [42] Equation ( 35) and (36). Two examples of the curves obtained using (76) and (77) are given in Figure 5 for the ISR data and Figure 6 for TOTEM data.…”

“…It is remarkable that just the two or three first terms of the eikonal exponential are sufficient to give a qualitatively fair description of data covering a range of energy between 30 GeV to 10 TeV. [42] Equation (35), solid line comes from [42], Equation (36).…”

Effective locality and chiral symmetry breaking in QCD

“…Moreover, in the context of these calculations and beyond, that is for the sake of further experimental predictions [13], this will allow one to introduce a manipulation of Wigner's semicircle law [14].…”