Cross-section estimates for multi-Higgs production at high energies

Argyres, E.N.; Kleiss, R.; Papadopoulos, Costas G.

doi:10.1016/0550-3213(93)90141-b

Cited by 22 publications

(7 citation statements)

References 8 publications

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“…Finally at a late time t 0 , to convert χ to δφ, we introduce a mixing interaction S mix = dt dx a(t) 3 F mix (χ) φ2 (17) with support between times t 0 and t 0 + ∆t. We can understand the effect of this interaction by noting that during inflation, φ = φ(t) + δ φ(x, t), where the first term is the leading homogeneous piece.…”

Section: Mixing With φ and The Probability Distribution For ζmentioning

confidence: 99%

Multipoint correlators in multifield cosmology

Panagopoulos,

Silverstein

2020

Preprint

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Connected N -point amplitudes in quantum field theory are enhanced by a factor of N ! in appropriate regimes of kinematics and couplings, but the non-perturbative analysis of this for collider physics applications is subtle. We resolve this question for N -point correlation functions of cosmological perturbations in multifield inflation, and comment on its application to primordial non-Gaussianity. We find that they are calculably N !-enhanced using a simple model for the mixing of the field sectors which leads to a convolution of their probability distributions. This effect leads to model-dependent but interesting prospects for enhanced observational sensitivity.

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Section: Mixing With φ and The Probability Distribution For ζmentioning

confidence: 99%

Multipoint correlators in multifield cosmology

Panagopoulos,

Silverstein

2020

Preprint

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“…A single interaction term of the form H µνa A b µ A c ν is left instead of interaction terms represented by Eq. (24). The recursion for the gluons changes slightly, in fact only for the four-gluon vertex part.…”

Section: Dyson-schwinger Recursion Relationsmentioning

confidence: 99%

“…to the full amplitude in any field theory, is possible. Another approach in this direction based on the so called ALPHA algorithm [21,22] or the Dyson-Schwinger recursion equations has been developed [23][24][25][26][27][28][29][30][31][32], where the multi-parton amplitude can be constructed without referring to individual Feynman diagrams. In the latter case, apart from the summation over colour in the colour flow basis, which will be briefly described in the next section, integration over a continuous set of colour variables (as well as flavour) was introduced.…”

Section: Dual Amplitudes and Colour Decompositionmentioning

confidence: 99%

Multi-parton cross sections at hadron colliders

Papadopoulos

Worek

2007

Eur. Phys. J. C

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We present an alternative method to calculate cross sections for multi-parton scattering processes in the Standard Model at leading order. The helicity amplitudes are computed using recursion relations in the number of particles, based on Dyson-Schwinger equations whereas the summation over colour and helicity configurations is performed by Monte Carlo methods. The computational cost of our algorithm grows asymptotically as 3 n , where n is the number of particles involved in the process, as opposed to the n!-growth of the Feynman diagram approach. Typical results for the total cross section, differential distributions of invariant masses and transverse momenta of partons are presented and cross checked by explicit summation over colours.

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“…A lower bound on the tree-order cross section σ(ff → H * → nH) can be established rigorously, yielding a unitarity-violating behaviour [4,5].…”

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confidence: 99%

On amplitude zeros at threshold

1993

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The occurrence of zeros of 2 to n amplitudes at threshold in scalar theories is studied. We find a differential equation for the scalar potential, which incorporates all known cases where the 2 to n amplitudes at threshold vanish for all sufficiently large $n$, in all space-time dimensions, $d\ge 1$. This equation is related to the reflectionless potentials of Quantum Mechanics and to integrable theories in 1+1 dimensions. As an application, we find that the sine-Gordon potential and its hyperbolic version, the sinh-Gordon potential, also have amplitude zeros at threshold, ${\cal A}(2\to n)=0$, for $n\ge 4$ and $d\ge 2$, independently of the mass and the coupling constant.Comment: 6 pages, Latex, CERN-TH.6762/9

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Cross-section estimates for multi-Higgs production at high energies

Cited by 22 publications

References 8 publications

Multipoint correlators in multifield cosmology

Multipoint correlators in multifield cosmology

Multi-parton cross sections at hadron colliders

On amplitude zeros at threshold

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