Fresh look at experimental evidence for odderon exchange

Abstract

Theory suggests that in high-energy elastic hadron+hadron scattering, $t$-channel exchange of a family of colourless crossing-odd states -- the odderon -- may generate differences between $p\bar{p}$ and $pp$ cross-sections in the neighbourhood of the diffractive minimum. Using a mathematical approach based on interpolation via continued fractions enhanced by statistical sampling, we develop robust comparisons between $p\bar{p}$ elastic differential cross-sections measured at $\surd s=1.96$TeV by the D0 Collaboration at the Tevatron and function-form-unbiased extrapolations to this energy of kindred $pp$ measurements at $\surd s/\mathrm{TeV}=2.76,7,8,13$ by the TOTEM Collaboration at the LHC and a combination of these data with earlier cross-section measurements at $\surd s/\mathrm{GeV}=23.5,30.7,44.7,52.8,62.5$ made at the internal storage rings. Focusing on a domain that straddles the diffractive minimum in the $p\bar{p}$ and $pp$ cross-sections, we find that these two cross-sections differ at the $(2.2-2.6)\sigma$ level; hence, supply evidence with this level of significance for the existence of the odderon. If combined with evidence obtained through different experiment-theory comparisons, whose significance is reported to lie in the range $(3.4-4.6)\sigma$, one arrives at a $(4.0-5.2)\sigma$ signal for the odderon.

arXiv comment8 pages, 5 figures

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Cited by in corpus (1)

• Model-independent Odderon results based on new TOTEM data on elastic pp collisions at 8 TeV