Improvements to the Froissart bound from AdS/CFT

Abstract

In this paper we consider the issue of the Froissart bound on the high energy behaviour of total cross sections. This bound, originally derived using principles of analyticity of scattering amplitudes, is seen to be satisfied by all the available experimental data on total hadronic cross sections. At strong coupling, gauge/gravity duality has been used to provide some insights into this behaviour. In this work, we find the subleading terms to the so-derived Froissart bound from AdS/CFT. ..

Inelastic cross section and survival probabilities at the LHC in minijet models

“…The integrand in Eq. Please notice that an improvement of the Froissart limit in the context of the AdS/CFT correspondence has recently been proposed in [59].…”

Investigation of the leading and subleading high-energy behavior of hadron-hadron total cross sections using a best-fit analysis of hadronic scattering data

“…[14] another subleading term of order O(ln s), i.e., Q ab ln(s/s ab 0 ), was also found (and such a term is also present in the analysis of Ref. [23]). Contrary to the leading and subleading terms discussed above, the coefficient Q ab is expected to depend on the colliding particles, even if our assumption on κ is met.…”

“…In this work we have performed a phenomenological analysis of total cross section data from hadronic scattering in order to estimate the relevance of a subleading ln(s/s 0 ) ln ln(s/s 0 ) term, obtained in recent theoretical studies in nonperturbative QCD [14] (see also Refs. [21][22][23] for a similar subleading term). More precisely, we used the following parametrization of the total cross section in the high-energy region:…”

“…In Ref. [23], Díez, Godbole and Sinha performed fits to σ tot data from pp andpp scattering in order to determine what is the dominant subleading contribution to σ tot between ln s and ln s ln ln s (see section II). They also parametrize the low-energy contributions to σ tot with Reggeon terms, however fixing some of the parameters according to the expectations from Regge theory, and some others using sum rules in the resonance region (following the works by Block and Halzen [49]).…”

“…We point out that a subleading term of the form ln s · ln ln s has appeared in other approaches to the study of σ tot , namely (i) in a bound for the "energy-averaged" total cross section obtained by Martin and Roy [21], (ii) in a revision of Heisenberg's model made by Nastase and Sonnenschein [22], where they assume that the Froissart bound is saturated, and (iii) in an improvement of the FLM bound in the AdS/CFT approach made by Díez et al [23].…”