<i>Diagrammatica: The Path to Feynman Diagrams</i>

Veltman, M.J.G.; Wudka, José

doi:10.1063/1.2808259

Cited by 108 publications

(201 citation statements)

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“…The interest of configurations with some αi = 0 was soon realized. In particular, the case where all but two αi = 0 corresponds to discontinuities on physical channels [1,3,21].…”

Section: Jhep06(2017)114mentioning

confidence: 99%

“…It follows from the 'cutting rules' of ref. [3,21] that the discontinuities in a given channel can be computed by replacing a subset of propagators by δ functions and fixing the energy flow through these cut propagators. This subset is simply the set of propagators that disconnects the graph into two disjoint graphs, where the total external momentum flowing through the cut lines into each subgraph is equal to Q 2 .…”

Section: Jhep06(2017)114mentioning

confidence: 99%

“…Such precise definitions exist for certain types of cuts. For instance, one can consider so-called unitarity cuts [3,21,22], which select a particular external channel, or iterated unitarity cuts [23][24][25] which select different channels. When propagators are massive, one can also consider single-propagator cuts [26].…”

Section: Introductionmentioning

confidence: 99%

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Cuts from residues: the one-loop case

Abreu

Britto

Duhr

et al. 2017

J. High Energ. Phys.

140

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Using the multivariate residue calculus of Leray, we give a precise definition of the notion of a cut Feynman integral in dimensional regularization, as a residue evaluated on the variety where some of the propagators are put on shell. These are naturally associated to Landau singularities of the first type. Focusing on the one-loop case, we give an explicit parametrization to compute such cut integrals, with which we study some of their properties and list explicit results for maximal and next-to-maximal cuts. By analyzing homology groups, we show that cut integrals associated to Landau singularities of the second type are specific combinations of the usual cut integrals, and we obtain linear relations among different cuts of the same integral. We also show that all one-loop Feynman integrals and their cuts belong to the same class of functions, which can be written as parametric integrals.

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“…The interest of configurations with some αi = 0 was soon realized. In particular, the case where all but two αi = 0 corresponds to discontinuities on physical channels [1,3,21].…”

Section: Jhep06(2017)114mentioning

confidence: 99%

Section: Jhep06(2017)114mentioning

confidence: 99%

See 1 more Smart Citation

Cuts from residues: the one-loop case

Abreu

Britto

Duhr

et al. 2017

J. High Energ. Phys.

140

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“…We will briefly summarise below the argument for the largest time equation and its relation to SK formalism. We will refer the reader to [39] or [34] for more details.…”

Section: Basics Of Schwinger-keldysh Theorymentioning

confidence: 99%

Renormalization in open quantum field theory. Part I. Scalar field theory

Baidya

Jana

Loganayagam

et al. 2017

J. High Energ. Phys.

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While the notion of open quantum systems is itself old, most of the existing studies deal with quantum mechanical systems rather than quantum field theories. After a brief review of field theoretical/path integral tools currently available to deal with open quantum field theories, we go on to apply these tools to an open version of φ 3 + φ 4 theory in four spacetime dimensions and demonstrate its one loop renormalizability (including the renormalizability of the Lindblad structure).

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“…[64,65]). The tadpole-renormalization prescription used in this paper will be the β t scheme, thoroughly discussed in section 2.3 of Ref.…”

Section: Higgs Tadpolesmentioning

confidence: 99%

NNLO computational techniques: The cases and

et al. 2009

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A large set of techniques needed to compute decay rates at the two-loop level are derived and systematized. The main emphasis of the paper is on the two Standard Model decays H → γγ and H → gg. The techniques, however, have a much wider range of application: they give practical examples of general rules for two-loop renormalization; they introduce simple recipes for handling internal unstable particles in two-loop processes; they illustrate simple procedures for the extraction of collinear logarithms from the amplitude. The latter is particularly relevant to show cancellations, e.g. cancellation of collinear divergencies. Furthermore, the paper deals with the proper treatment of non-enhanced two-loop QCD and electroweak contributions to different physical (pseudo-)observables, showing how they can be transformed in a way that allows for a stable numerical integration. Numerical results for the two-loop percentage corrections to H → γγ, gg are presented and discussed. When applied to the process pp → gg + X → H + X, the results show that the electroweak scaling factor for the cross section is between −4% and +6% in the range 100 GeV < M H < 500 GeV, without incongruent large effects around the physical electroweak thresholds, thereby showing that only a complete implementation of the computational scheme keeps two-loop corrections under control.

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Diagrammatica: The Path to Feynman Diagrams

Cited by 108 publications

References 0 publications

Cuts from residues: the one-loop case

Cuts from residues: the one-loop case

Renormalization in open quantum field theory. Part I. Scalar field theory

NNLO computational techniques: The cases and

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