An Updated Analysis on the Rise of the Hadronic Total Cross-Section at the LHC Energy Region

Menon, M. J.; Silva, P. V. R. G.

doi:10.1142/s0217751x13500991

Cited by 17 publications

(81 citation statements)

References 48 publications

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“…Let us note that we can not take for granted that the form (1.1) will persist much longer beyond currently accessible scales. Indeed there is some evidence σ pp may grow faster than the "logarithm square" growth of (1.1) [15][16][17][18][19][20]. This conclusion is in agreement with an alternative fit of experimental data [21][22][23],…”

Section: Jhep07(2015)106supporting

confidence: 81%

“…It is likely that both "power law" (1.3) and "log squared" behavior (1.1) fail to capture true asymptotic of σ pp . While the "power law" will ultimately violate Froissart-Martin bound, there is also some circumstantial evidence that "log squared" behavior of σ pp does not continue at very high energies [15][16][17][18][19][20]. The Froissart-Martin bound should apply once σ pp becomes significantly larger than 2σ FM 0 130 mb, i.e.…”

Section: Jhep07(2015)106mentioning

confidence: 99%

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Can Froissart bound explain hadron cross-sections at high energies?

Dymarsky

2015

J. High Energ. Phys.

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Experimentally observed slow growth of hadron cross-sections at high energies is a very intriguing but poorly understood property of QCD. It is tempting to explain the slow growth by saturation of Froissart bound or another similar universal mechanism. We reconsider derivation of Froissart bound in QCD in chiral limit and argue it can not justify experimentally observed behavior. Although the conventional Froissart-Martin bound should impose non-trivial constraint on the growth of hadron cross-sections, because of the small value of pion masses it will become restrictive only at currently unaccessible center-of-mass energies exceeding 10 5 -10 6 GeV.

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Section: Jhep07(2015)106supporting

confidence: 81%

Section: Jhep07(2015)106mentioning

confidence: 99%

Can Froissart bound explain hadron cross-sections at high energies?

Dymarsky

2015

J. High Energ. Phys.

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“…In this case we consider the five numerical values displayed in Section 2.2 as representative of the three scenarios investigated, as summarized in the following scheme: -above the black disk → either A = 1 (maximum unitarity) or A = 0.75 (a possible "formal" result); -the black disk → A = 0.5; -below the black disk → either A = 0.436 (the result from the TOTEM and COMPETE parameterizations, Eqs. (5) and (6)) or A = 0.3 (lowest value we have obtained in [52][53][54]). …”

Section: Fit Proceduresmentioning

confidence: 67%

“…We have recently developed several analyses of the experimental data on σ tot , the ρ parameter and σ el [52][53][54], including the TOTEM Collaboration results at 7 and 8 TeV. For our purposes, we recall that the parametrization for the total cross section is expressed by…”

Section: Above the Black Diskmentioning

confidence: 99%

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Exploring central opacity and asymptotic scenarios in elastic hadron scattering

Fagundes¹,

Menon²,

Silva³

2016

Nuclear Physics A

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In the absence of a global description of the experimental data on elastic and soft diffractive scattering from the first principles of QCD, model-independent analyses may provide useful phenomenological insights for the development of the theory in the soft sector. With that in mind, we present an empirical study on the energy dependence of the ratio X between the elastic and total cross sections; a quantity related to the evolution of the hadronic central opacity. The dataset comprises all the experimental information available on proton-proton and antiproton-proton scattering in the c.m energy interval 5 GeV -8 TeV. Generalizing previous works, we discuss four model-independent analytical parameterizations for X, consisting of sigmoid functions composed with elementary functions of the energy and three distinct asymptotic scenarios: either the standard black disk limit or scenarios above or below that limit. Our two main conclusions are the following: (1) although consistent with the experimental data, the black disk does not represent an unique solution; (2) the data reductions favor a semi-transparent scenario, with asymptotic average value for the ratioX = 0.30 ± 0.12. In this case, within the uncertainty, the asymptotic regime may already be reached around 1000 TeV. We present a comparative study of the two scenarios, including predictions for the inelastic channel (diffraction dissociation) and the ratio associated with the total cross-section and the elastic slope. Details on the selection of our empirical ansatz for X and physical aspects related to a change of curvature in this quantity at 80 -100 GeV, indicating the beginning of a saturation effect, are also presented and discussed.

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Bounds on the rise of total cross section from LHC7 and LHC8 data

2017

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Recent measurements of the proton-proton total cross section σ tot at 7 and 8 TeV by the TOTEM and ATLAS Collaborations are characterized by some discrepant values: the TOTEM data suggest a rise of the cross section with the energy faster than the ATLAS data. Attempting to quantify these different behaviors, we develop new analytical fits to σ tot and ρ data from pp andpp scattering in the energy region 5 GeV -8 TeV. The dataset comprises all the accelerator data below 7 TeV and we consider three ensembles by adding: either only the TOTEM data (T), or only the ATLAS data (A), or both sets (T+A). For the purposes, we use our previous RRPLγ parametrization for σ tot (s), consisting of two Reggeons (RR), one critical Pomeron (P) and a leading log-raised-to-gamma (Lγ) contribution (with γ as a free fit parameter), analytically connected to ρ(s) through singly-subtracted derivative dispersion relations and energy scale fixed at the physical threshold. The data reductions with ensembles T and A present good agreement with the experimental data analyzed and cannot be distinguished on statistical grounds. The quality of the fit is not as good with ensemble T+A. The fit results provide γ ∼ 2.3 ± 0.1 (T), 2.0 ± 0.1 (A), 2.2 ± 0.2 (T+A), with χ 2 /DOF ∼ 1.07 (T), 1.09 (A), 1.14 (T+A), suggesting extrema bounds for γ given by 1.9 and 2.4. Fits with γ = 2 (fixed) are also developed and discussed.

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An Updated Analysis on the Rise of the Hadronic Total Cross-Section at the LHC Energy Region

Cited by 17 publications

References 48 publications

Can Froissart bound explain hadron cross-sections at high energies?

Can Froissart bound explain hadron cross-sections at high energies?

Exploring central opacity and asymptotic scenarios in elastic hadron scattering

Bounds on the rise of total cross section from LHC7 and LHC8 data

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