TESLA Technical Design Report Part III: Physics at an e+e- Linear Collider
The TESLA Technical Design Report Part III: Physics at an e+e- Linear Collider
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arXiv subjects
T. Binoth
Publications and source records attributed to T. Binoth.
Calculation of 1-loop Hexagon Amplitudes in the Yukawa Model
We calculate a class of one-loop six-point amplitudes in the Yukawa model. The construction of multi-particle amplitudes is done in the string inspired formalism and compared to the Feynman diagrammatic approach. We show that there exists a surprisingly efficient way of calculating such amplitudes by using cyclic identities of kinematic coefficients and discuss in detail cancellation mechanisms of spurious terms. A collection of formulas which are useful for the calculation of massless hexagon amplitudes is given.
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Higgs signals modified by singlet scalars
The influence of massless scalar singlets on Higgs signals is discussed. It is shown, that in the case of strong interactions between the Higgs boson and the singlet fields, signals could be suppressed in such a way, that detection of the Higgs boson becomes impossible.
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Next to leading order predictions for pi_0 gamma and pi_0 pi_0 production at the LHC
The precise knowledge of photon pair production rates at the LHC is crucial to estimate the sensitivity to a Higgs boson in the intermediate mass range. This background consists not only of prompt photons but also of fake photons stemming from pion decay. We present next to leading order predictions for the invariant mass distributions of pion photon and pion pairs.
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Beyond leading order effects in photon pair production at the Tevatron
We discuss effects induced by beyond leading order contributions to photon pair production. We point out that next to leading order contributions to the fragmentation component of the signal lead to a change in the shape of distributions. This is already mildly visible in present Tevatron data though stringent isolation criteria tend to suppress the fragmentation component considerably. We expect the effect to be experimentally confirmed in future data samples with higher statistics which would serve as a precision test for QCD.
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A general reduction method for one-loop N-point integrals
In order to calculate cross sections with a large number of particles/jets in the final state at next-to-leading order, one has to reduce the occurring scalar and tensor one-loop integrals to a small set of known integrals. In massless theories, this reduction procedure is complicated by the presence of infrared divergences. Working in n=4-2*epsilon dimensions, it will be outlined how to achieve such a reduction for diagrams with an arbitrary number of external legs. As a result, any integral with more than four propagators and generic 4-dimensional external momenta can be reduced to box integrals.
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Loops and legs beyond perturbation theory
Within the non-perturbative 1/N expansion, we discuss numerical methods for calculating multi-loop Feynman graph needed to derive physical scattering amplitudes. We apply higher order 1/N methods to the scalar sector of the standard model, and show the existence of a mass saturation effect. The mass saturation has direct implications for future searches at the LHC and at possible muon colliders.
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Two photon background for Higgs boson searches at the LHC
The search for an intermediate mass Higgs boson at the LHC needs the quantitative understanding of the two-photon background. A calculation of two-photon production in hadronic collisions at full next-to-leading order is described. It includes photons originating from the hadronization of QCD partons which play an important role at the LHC. A prediction for the invariant mass distribution for photon pairs at the LHC is presented and finally the residual scale dependencies are discussed.
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The QCD and Standard Model Working Group: Summary Report from Les Houches
The Les Houches Workshop on Physics at TeV Colliders took place from June 8-18, 1999. One of the three working groups at Les Houches concentrated on QCD issues, both at the Tevatron Collider and at the LHC. Besides the interest in QCD in its own right, QCD dynamics plays an important role in the production mechanisms for any new physics process that might be observed at either collider, as well as any processes that may form backgrounds to the new physics. This writeup serves both as a pedagogical overview of QCD as well as an update on the current status of the field.
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A full Next to Leading Order study of direct photon pair production in hadronic collisions
We discuss the production of photon pairs in hadronic collisions, from fixed target to LHC energies. The study which follows is based on a QCD calculation at full next-to-leading order accuracy, including single and double fragmentation contributions, and implemented in the form of a general purpose computer program of "partonic event generator" type. To illustrate the possibilities of this code, we present the comparison with observables measured by the WA70 and D0 collaborations, and some predictions for the irreducible background to the search of Higgs bosons at LHC in the channel $h \to γγ$. We also discuss theoretical scale uncertainties for these predictions, and examine several infrared sensitive situations which deserve further study.
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Reduction formalism for dimensionally regulated one-loop N-point integrals
We consider one-loop scalar and tensor integrals with an arbitrary number of external legs relevant for multi-parton processes in massless theories. We present a procedure to reduce N-point scalar functions with generic 4-dimensional external momenta to box integrals in (4-2ε) dimensions. We derive a formula valid for arbitrary N and give an explicit expression for N=6. Further a tensor reduction method for N-point tensor integrals is presented. We prove that generically higher dimensional integrals contribute only to order εfor N>=5. The tensor reduction can be solved iteratively such that any tensor integral is expressible in terms of scalar integrals. Explicit formulas are given up to N=6.
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The stealthy Higgs model at future Linear Colliders
We investigate the influence of scalar gauge singlets on Higgs signals at a linear collider. These lead to a large invisible decay width of the Higgs. We find that for high luminosities ($500-1000 fb^{-1}$) one can essentially cover the allowed parameter range of the model.
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Nonperturbative three-point functions of the O(N) sigma model in the 1/N expansion at NLO
We present a calculation of the three-point functions of the O(N)-symmetric sigma model. The calculation is done nonperturbatively by means of a higher-order 1/N expansion combined with a tachyonic regularization which we proposed in previous publications. We use the results for calculating the standard model process ff -> H -> WW nonperturbatively in the quartic coupling of the scalar sector.
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Testing nonperturbative techniques in the scalar sector of the standard model
We discuss the current picture of the standard model's scalar sector at strong coupling. We compare the pattern observed in the scalar sector in perturbation theory up to two-loop with the nonperturbative solution obtained by a next-to-leading order 1/N expansion. In particular, we analyze two resonant Higgs scattering processes, ff -> H -> f'f' and ff -> H -> ZZ, WW. We describe the ingredients of the nonperturbative calculation, such as the tachyonic regularization, the higher order 1/N intermediate renormalization, and the numerical methods for evaluating the graphs. We discuss briefly the perspectives and usefulness of extending these nonperturbative methods to other theories.
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New developments in the 1/N expansion and nonperturbative Higgs physics
We show in this paper that the 1/N expansion is a reliable tool to calculate the properties of a heavy Higgs boson. The 1/N expansion sums up all orders in perturbation theory, and therefore avoids the renormalization scheme dependence of the conventional perturbative approach. It is explained how effects due to the Landau pole of the Higgs sector are isolated and subtracted, and how to perform actual calculations, by computing the Higgs line shape for the processes f\bar f\to H \to ZZ,f'\bar f' at next-to-leading order in the 1/N expansion. The results are compared to the perturbative results to show the agreement between the perturbative and the nonperturbative approach for Higgs masses up to 1 TeV. We conclude that the theoretical predictions for Higgs observables are well under control for the entire kinematical region of the LHC.
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Perturbative and nonperturbative Higgs signals
We discuss the current picture of the standard Higgs sector at strong coupling and the phenomenological implications for direct searches at the LHC.
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Higgs mass saturation effect and the LHC discovery potential
In view of recent perturbative and nonperturbative evidence that the peak of the Higgs resonance saturates as the coupling increases, we examine the potential of the future Large Hadron Collider to discover a heavy Higgs resonance by gluon fusion.
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