Abstract
It has been shown that AdS/CFT calculations can reproduce certain exclusive 2→2 cross sections in QCD at high energy, both for near-forward and for fixed-angle scattering. In this paper, we extend prior treatments by using AdS/CFT to calculate the inclusive single-particle production cross section in QCD at high center-of-mass energy. We find that conformal invariance in the UV restricts the cross section to have a characteristic power-law falloff in the transverse momentum of the produced particle, with the exponent given by twice the conformal dimension of the produced particle, independent of incoming particle types. We conclude by comparing our findings to recent LHC experimental data from ATLAS and ALICE, and find good agreement.
Highlights
It has been suspected for many years that large-Nc QCD admits an alternate description as a string theory.1 Early developments were inspired by the realization that string scattering amplitudes obey Regge behavior and crossing symmetry
We find that conformal invariance in the UV restricts the cross section to have a characteristic power-law falloff in the transverse momentum of the produced particle, with the exponent given by twice the conformal dimension of the produced particle, independent of incoming particle types
We explore the consequences of conformal symmetry in high energy scattering experiments
Summary
It has been suspected for many years that large-Nc QCD admits an alternate description as a string theory. Early developments were inspired by the realization that string scattering amplitudes obey Regge behavior and crossing symmetry. We argue that a generalization of the Polchinski-Strassler regime [13, 14] utilizes the warped AdS geometry to render the effect of confinement deformation unimportant at high pT Using this we arrive at our central result for CFT behavior at the LHC involving a partonic power-law falloff of the form dσab→c+X d3pc/Ec. The exponent δ is fixed by holography and conformal invariance, given by δ = 2τ , with τ = ∆−J, where ∆ is the conformal dimension, and J the spin of the produced hadron.. Throughout the paper, the details of results from earlier literature are omitted from the body of the text, and are instead provided in appendices A–D These appendices cover the treatment of inclusive cross sections as discontinuities in QCD itself, the holographic pomeron, aspects of conformal field theory, and flat space string amplitudes, respectively. Terial we provide a bare minimum of review and examples in the main text for the paper to be relatively self contained
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