The Effective Actions of Pseudoscalar and Scalar Particles in Theories with Gauge and Conformal Anomalies

We review recent work on the effective field theory description and the phenomenology of axion-like and scalar particles in models characterized by gauge and/or conformal anomalies.Comment: Presented by C. Coriano at the 9th Hellenic Workshop on Elementary Particle Physics and Gravity, Corfu Summer Institute, Greece August 30 September 20, 200

Scale Invariant O(g4)O(g^4) Lipatov Kernels at Non-Zero Momentum Transfer

We summarize recent work on the evaluation of the scale invariant next-to-leading order Lipatov kernel, constructed via transverse momentum diagrams. At zero momentum transfer the square of the leading-order kernel appears together with an additional component, now identified as a new partial-wave amplitude, having a separate, holomorphically factorizable, spectrum. We present a simplified expression for the full kernel at non-zero momentum transfer and give a complete analysis of its infrared properties. We also construct a non-forward extension of the new amplitude which is infra-red finite and satifies Ward identity constraints. We conjecture that this new kernel has the conformal invariance properties corresponding to the holomorphic factorization of the forward spectrum.Comment: 26 pages in latex, 4 uu-encoded ps-fig

Stability Analysis of Sum Rules for Compton Scattering

We perform a stability analysis of a recently proposed sum rule for pion Compton scattering at fixed angle and moderate Mandelstam invariants. The sum rule is found to be sensitive to the parameter $\lambda^2$, the contour radius of a generalized Borel transform. A modified phenomenological model for the continuum contribution is proposed to remove this dependence. It is shown that the best value of the quark-hadron duality interval $s_0=0.6$ GeV$^2$ is close to that in the form factor case ($s_0=0.7$ GeV$^2$). The application of this new model to the pion form factor is examined. A comparison of our predictions with those derived from a modified perturbative calculation including Sudakov suppression is also briefly considered.Comment: 11 pages (latex), (CCUTH-93-1 preprint) 4 figs. availiable upon request (email:[email protected]

Axions from Intersecting Branes and Decoupled Chiral Fermions at the Large Hadron Collider

We present a study of a class of effective actions which show typical axion-like interactions, and of their possible effects at the Large Hadron Collider. One important feature of these models is the presence of one pseudoscalar which is a generalization of the Peccei-Quinn axion. This can be very light and very weakly coupled, with a mass which is unrelated to its couplings to the gauge fields, described by Wess Zumino interactions. We discuss two independent realizations of these models, one derived from the theory of intersecting branes and the second one obtained by decoupling one chiral fermion per generation (one right-handed neutrino) from an anomaly-free mother theory. The key features of this second realization are illustrated using a simple example. Charge assignments of intersecting branes can be easily reproduced by the chiral decoupling approach, which remains more general at the level of the solution of its anomaly equations. Using considerations based on its lifetime, we show that in brane models the axion can be dark matter only if its mass is ultralight ($\sim 10^{-4}$ eV), while in the case of fermion decoupling it can reach the GeV region, due to the absence of fermion couplings between the heavy Higgs and the light fermion spectrum. For a GeV axion derived from brane models we present a detailed discussion of its production rates at the LHC.Comment: 64 pages, 15 Fig

Windows over a New Low Energy Axion

We outline some general features of possible extensions of the Standard Model that include anomalous U(1) gauge symmetries, a certain number of axions and their mixings with the CP-odd Higgs sector. As previously shown, after the mixing one of the axions becomes a physical pseudoscalar (the axi-Higgs) that can take the role of a modified QCD axion. It can be driven to be very light by the same non-perturbative effects that are held responsible for the solution of the strong CP-problem. At the same time the axi-Higgs has a sizeable gauge interaction, which is not allowed to the Peccei-Quinn axion, possibly explaining the PVLAS results. We point out that the Wess-Zumino term, typical of these models, can be both interpreted as an anomaly inflow from higher dimensional theories (second window) but also as a result of partial decoupling of an extra Higgs sector (and of a fermion) that leaves behind an effective anomalous abelian theory (first window) in a broken St\"{u}ckelberg phase. The possibility that the axi-Higgs can be heavy, of the order of the Higgs mass or larger, however, can't be excluded. The potentialities for the discovery of this particle and of anomaly effects in the neutral current sector at the LHC are briefly discussed in the context of a superstring inspired model (second window), but with results that remain valid also if any of the two possibilities is realized in Nature.Comment: 17 pages, 8 Figs, replaced with revised final version, to appear on Phys.Lett.

An Anomalous Extra Z Prime from Intersecting Branes with Drell-Yan and Direct Photons at the LHC

We quantify the impact of gauge anomalies at the Large Hadron Collider by studying the invariant mass distributions in Drell-Yan and in double prompt photon, using an extension of the Standard Model characterized by an additional anomalous U(1) derived from intersecting branes. The approach is rather general and applies to any anomalous abelian gauge current. Anomalies are cancelled using either the Wess-Zumino mechanism with suitable Peccei-Quinn-like interactions and a Stueckelberg axion, or by the Green-Schwarz mechanism. We compare predictions for the corresponding extra Z-prime to anomaly-free realizations such as those involving U(1)_{B-L}. We identify the leading anomalous corrections to both channels, which contribute at higher orders, and compare them against the next-to-next-to-leading order (NNLO) QCD background. Anomalous effects in these inclusive observables are found to be very small, far below the percent level and below the size of the typical QCD corrections quantified by NNLO K-factors.Comment: 46 pages, 36 figures, comments and citations adde

Power Corrections to QCD Sum Rules for Compton Scattering

We extend previous work on sum rules for the invariant amplitudes of pion Compton scattering by deriving a complete lowest order perturbative spectral function - and its leading non perturbative power corr ections - for a specific combination of the two helicities $(H_1 + H_2)$ of this process. Using some properties of a modified version of the Borel transform, we develop a method of calculation of the gluonic corrections which can be easily extended to other similar reactions, such as proton Compton scattering. A preliminary comparison of the new sum rule with the pion form factor sum rule is made.Comment: 24 pages in latex 5 figures not includes availiable upon request (email: [email protected]), ITP-US-93-3 preprin

Drell-Yan Non-Singlet Spin Cross Sections and Spin Asymmetry to O(αs2)O(\alpha_s^2) (II)

We present predictions for the non-singlet Drell-Yan longitudinal spin cross sections and spin asymmetry, $A_{LL}$, in proton-proton collisions at large $p_T$ at the RHIC energy of 200\gev at next-to-leading order QCD. The higher order corrections to the non-singlet polarized cross section, $\sigma_{NS}^{LL}$, are sizeable and similar to those found for the unpolarized cross section. The non-singlet asymmetry parameter, $A^{NS}_{LL}$, is very stable against higher order corrections and is a direct measurement of the non-singlet (i.e. valence) polarized quark distributions within the proton.Comment: 24 pages, 13 figure

The Generalized Hypergeometric Structure of the Ward Identities of CFT's in Momentum Space in d>2d > 2

We review the emergence of hypergeometric structures (of $F_4$ Appell functions) from the conformal Ward identities (CWIs) in conformal field theories (CFTs) in dimensions $d > 2$. We illustrate the case of scalar 3- and 4-point functions. 3-point functions are associated to hypergeometric systems with 4 independent solutions. For symmetric correlators they can be expressed in terms of a single 3K integral - functions of quadratic ratios of momenta - which is a parametric integral of three modified Bessel $K$ functions. In the case of scalar 4-point functions, by requiring the correlator to be conformal invariant in coordinate space as well as in some dual variables (i.e. dual conformal invariant), its explicit expression is also given by a 3K integral, or as a linear combination of Appell functions which are now quartic ratios of momenta. Similar expressions have been obtained in the past in the computation of an infinite class of planar ladder (Feynman) diagrams in perturbation theory, which, however, do not share the same (dual conformal/conformal) symmetry of our solutions. We then discuss some hypergeometric functions of 3 variables, which define 8 particular solutions of the CWIs and correspond to Lauricella functions. They can also be combined in terms of 4K integral and appear in an asymptotic description of the scalar 4-point function, in special kinematical limits.Comment: 31 pages, 1 figure. Invited contribution to appear in: Axioms (MDPI) "Geometric Analysis and Mathematical Physics" Ed. Sorin Dragomir, revised final version, typos correcte

NNLO Logarithmic Expansions and Exact Solutions of the DGLAP Equations from x-Space: New Algorithms for Precision Studies at the LHC

A NNLO analysis of certain logarithmic expansions, developed for precision studies of the evolution of the QCD parton distributions (pdf) at the Large Hadron Collider, is presented. We elaborate on their relations to all the solutions of the DGLAP equations that have been hitherto obtained from Mellin space, to which are equivalent. Exact expansions, equivalent to exact solutions of the equations, are constructed in the non-singlet sector. The algorithmic features of our approach are also emphasized, since this method allows to obtain numerical solutions of the evolution equations with the same accuracy of other methods, based on Mellin space, and of brute force methods, which solve the equations by finite differences. The implementation of our analysis allows to compare with existing benchmarks for the evolution of the pdf's, useful for applications at the LHC, and to extend them significantly in a systematic fashion, especially when solutions that retain logarithmic corrections only of a certain accuracy are searched for.Comment: 56 pages, no figure