Amplitude estimates for multi-Higgs production at high energies

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

doi:10.1016/0550-3213(93)90140-k

Cited by 70 publications

(104 citation statements)

References 6 publications

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“…[10][11][12][13][14][15][16][17]. However, this direct connection between the on-shell quantities and the number of Feynman diagrams does not hold in gauge theory because of the cancellations between individual diagrams which is a consequence of gauge invariance and the on-shell conditions.…”

Section: Jhep03(2015)038mentioning

confidence: 95%

“…In particular, it was argued in the 90-s (see [8,9,[15][16][17][25][26][27] and references therein) that multi-particle production cross-sections in a scalar φ 4 -type field theory take the form: 13) in the double-scaling λ → 0, n → ∞ limit with λn and ε held fixed. This exponential behaviour of the n-particle cross-section was obtained from extrapolating results derived in perturbation theory.…”

Section: Jhep03(2015)038mentioning

confidence: 99%

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Perturbative growth of high-multiplicity W, Z and Higgs production processes at high energies

Khoze

2015

J. High Energ. Phys.

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Using the classical recursion relations we compute scattering amplitudes in a spontaneously broken Gauge-Higgs theory into final states involving high multiplicities of massive vector bosons and Higgs bosons. These amplitudes are computed in the kinematic regime where the number of external particles n is 1 and their momenta are nonrelativistic. Our results generalise the previously known expressions for the amplitudes on the multi-particle thresholds to a more non-trivial kinematic domain. We find that the amplitudes in spontaneously broken gauge theories grow factorially with the numbers of particles produced, and that this factorial growth is only mildly affected by the energydependent formfactor computed in the non-relativistic limit. This is reminiscent of the behaviour previously found in massive scalar theories. Cross sections are obtained by integrating the amplitudes squared over the non-relativistic phase-space and found to grow exponentially at energy scales in a few hundred TeV range if we use the non-relativistic high multiplicity limit. This signals a breakdown of perturbation theory and indicates that the weak sector of the Standard Model becomes effectively strongly coupled at these multiplicities. There are interesting implications for the next generation of hadron colliders both for searches of new physics phenomena beyond and within the Standard Model.

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Section: Jhep03(2015)038mentioning

confidence: 95%

Section: Jhep03(2015)038mentioning

confidence: 99%

Perturbative growth of high-multiplicity W, Z and Higgs production processes at high energies

Khoze

2015

J. High Energ. Phys.

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“…Clearly, if = 0, all momenta p i must be collinear and the phasespace volume vanishes. In [3] w e derived the following result, with ! = 1 + and…”

Section: The Matrix Elementmentioning

confidence: 99%

“…In what follows we h a v e taken m q = 5 GeV. F or the a(n), which w as the subject of our paper [3], we h a v e the following bounds. Consider only those kinematical con gurations of the momenta p 1 ; : : : ; p n for which p i p j < m 2 (1 + ) for all i; j ; (4) for some given value of .…”

Section: The Matrix Elementmentioning

confidence: 99%

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

1993

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We present l o w er limits on the cross-section for the process qq ! H ! nH as predicted by tree-level perturbation theory in the Minimal Standard Model. Emphasis is on high multiplicity n of the nal state. Both the bound on the matrix element and the phasespace are treated essentially exactly, which makes our limit on the unitarity-respecting behaviour of this cross-section rigorous to leading order in the quark-Higgs Yukawa coupling.

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Suppression exponent for multiparticle production in λϕ4 theory

Demidov

Farkhtdinov

Levkov

2023

J. High Energ. Phys.

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We compute the probability of producing n particles from few colliding particles in the unbroken (3 + 1)-dimensional λϕ4 theory. To this end we numerically implement semiclassical method of singular solutions which works at n ≫ 1 in the weakly coupled regime λ ≪ 1. For the first time, we obtain reliable results in the region of exceptionally large final-state multiplicities n ≫ λ−1 where the probability decreases exponentially with n, $$ \mathcal{P}\left(\textrm{few}\to n\right)\sim \exp \left\{{f}_{\infty}\left(\varepsilon \right)n\right\} $$ P few → n ~ exp f ∞ ε n , and its slope f∞ < 0 depends on the mean kinetic energy ε of produced particles. In the opposite case n ≪ λ−1 our data match well-known tree-level result, and they interpolate between the two limits at n ~ λ−1. Overall, this proves exponential suppression of the multiparticle production probability at n ≫ 1 and arbitrary ε in the unbroken theory. Using numerical solutions, we critically analyze the mechanism for multiple Higgs boson production suggested in the literature. Application of our technique to the scalar theory with spontaneously broken symmetry can eradicate (or confirm) it in the nearest future.

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Amplitude estimates for multi-Higgs production at high energies

Cited by 70 publications

References 6 publications

Perturbative growth of high-multiplicity W, Z and Higgs production processes at high energies

Perturbative growth of high-multiplicity W, Z and Higgs production processes at high energies

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

Suppression exponent for multiparticle production in λϕ4 theory

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