205 research outputs found
Multiloop Integrand Reduction for Dimensionally Regulated Amplitudes
We present the integrand reduction via multivariate polynomial division as a
natural technique to encode the unitarity conditions of Feynman amplitudes. We
derive a recursive formula for the integrand reduction, valid for arbitrary
dimensionally regulated loop integrals with any number of loops and external
legs, which can be used to obtain the decomposition of any integrand
analytically with a finite number of algebraic operations. The general results
are illustrated by applications to two-loop Feynman diagrams in QED and QCD,
showing that the proposed reduction algorithm can also be seamlessly applied to
integrands with denominators appearing with arbitrary powers.Comment: Published version. 5 pages, 2 figure
Two-loop QCD corrections to the V → qq¯ g helicity amplitudes with axial-vector couplings
We compute the two-loop corrections to the helicity amplitudes for the coupling of a massive vector boson to a massless quark-antiquark pair and a gluon, accounting for vector and axial-vector couplings of the vector boson and distinguishing isospin non-singlet and singlet contributions. A new four-dimensional basis for the decomposition of the amplitudes into 12 invariant tensor structures is introduced. The associated form factors are then computed up to two loops in QCD using dimensional regularization. After performing renormalization and infrared subtraction, the finite parts of the renormalized non-singlet vector and axial-vector form factors are shown agree with each other, and to reproduce the previously known two-loop amplitudes. The singlet axial-vector amplitude receives a contribution from the axial anomaly from two loops onwards. This amplitude is computed for massless and massive internal quarks. Our results provide the last missing two-loop amplitudes entering the NNLO QCD corrections of vector-boson-plus-jet production at hadron colliders
The Integrand Reduction of One- and Two-Loop Scattering Amplitudes
The integrand-level methods for the reduction of scattering amplitudes are
well-established techniques, which have already proven their effectiveness in
several applications at one-loop. In addition to the automation and refinement
of tools for one-loop calculations, during the past year we observed very
interesting progress in developing new techniques for amplitudes at two- and
higher-loops, based on similar principles. In this presentation, we review the
main features of integrand-level approaches with a particular focus on
algebraic techniques, such as Laurent series expansion which we used to improve
the one-loop reduction, and multivariate polynomial division which unveils the
structure of multi-loop amplitudes.Comment: 7 pages, v2: fixed typos, added references. Presented at "Loops and
Legs in Quantum Field Theory", Wernigerode, Germany, 15-20 April 201
A first look at the function space for planar two-loop six-particle Feynman integrals
Two-loop corrections to scattering amplitudes are crucial theoretical input for collider physics. Recent years have seen tremendous advances in computing Feynman integrals, scattering amplitudes, and cross sections for five-particle processes. In this paper, we initiate the study of the function space for planar two-loop six-particle processes. We study all genuine six-particle Feynman integrals, and derive the differential equations they satisfy on maximal cuts. Performing a leading singularity analysis in momentum space, and in Baikov representation, we find an integral basis that puts the differential equations into canonical form. The corresponding differential equation in the eight independent kinematic variables is derived with the finite-field reconstruction method and the symbol letters are identified. We identify the dual conformally invariant hexagon alphabet known from maximally supersymmetric Yang-Mills theory as a subset of our alphabet. This paper constitutes an important step in the analytic calculation of planar two-loop six-particle Feynman integrals
NLO QCD corrections to the production of Higgs plus two jets at the LHC
We present the calculation of the NLO QCD corrections to the associated
production of a Higgs boson and two jets, in the infinite top-mass limit. We
discuss the technical details of the computation and we show the numerical
impact of the radiative corrections on several observables at the LHC. The
results are obtained by using a fully automated framework for fixed order NLO
QCD calculations based on the interplay of the packages GoSam and Sherpa. The
evaluation of the virtual corrections constitutes an application of the
d-dimensional integrand-level reduction to theories with higher dimensional
operators. We also present first results for the one-loop matrix elements of
the partonic processes with a quark-pair in the final state, which enter the
hadronic production of a Higgs boson together with three jets in the infinite
top-mass approximation.Comment: 9 pages, 7 figures, references added, published in Phys.Lett.
Automated one-loop calculations with GoSam 2.0
We present the version 2.0 of the program GoSam, which is a public program
package to compute one-loop corrections to multi-particle processes. The
extended version of the "Binoth-Les-Houches-Accord" interface to Monte Carlo
programs is also implemented. This allows a large flexibility regarding the
combination of the code with various Monte Carlo programs to produce fully
differential NLO results, including the possibility of parton showering and
hadronisation. We describe the new features of the code and illustrate the wide
range of applicability for multi-particle processes at NLO, both within and
beyond the Standard Model.Comment: 9 pages, talk given at the conference "Loops and Legs in Quantum
Field Theory", Weimar, Germany, April 201
GoSam-2.0: a tool for automated one-loop calculations within the Standard Model and beyond
We present the version 2.0 of the program package GoSam for the automated
calculation of one-loop amplitudes. GoSam is devised to compute one-loop QCD
and/or electroweak corrections to multi-particle processes within and beyond
the Standard Model. The new code contains improvements in the generation and in
the reduction of the amplitudes, performs better in computing time and
numerical accuracy, and has an extended range of applicability. The extended
version of the "Binoth-Les-Houches-Accord" interface to Monte Carlo programs is
also implemented. We give a detailed description of installation and usage of
the code, and illustrate the new features in dedicated examples.Comment: replaced by published version and reference adde
Virtual QCD corrections to gluon-initiated diphoton plus jet production at hadron colliders
We present an analytic computation of the gluon-initiated contribution to diphoton plus jet production at hadron colliders up to two loops in QCD. We reconstruct the analytic form of the finite remainders from numerical evaluations over finite fields including all colour contributions. Compact expressions are found using the pentagon function basis. We provide a fast and stable implementation for the colour- and helicity-summed interference between the one-loop and two-loop finite remainders in C++ as part of the NJet library
Ultrasensitive Label-Free Detection of Protein-Membrane Interaction Exemplified by Toxin-Liposome Insertion.
Measuring the high-affinity binding of proteins to liposome membranes remains a challenge. Here, we show an ultrasensitive and direct detection of protein binding to liposome membranes using high throughput second harmonic scattering (SHS). Perfringolysin O (PFO), a pore-forming toxin, with a highly membrane selective insertion into cholesterol-rich membranes is used. PFO inserts only into liposomes with a cholesterol concentration >30%. Twenty mole-percent cholesterol results in neither SHS-signal deviation nor pore formation as seen by cryo-electron microscopy of PFO and liposomes. PFO inserts into cholesterol-rich membranes of large unilamellar vesicles in an aqueous solution with Kd = (1.5 ± 0.2) × 10-12 M. Our results demonstrate a promising approach to probe protein-membrane interactions below sub-picomolar concentrations in a label-free and noninvasive manner on 3D systems. More importantly, the volume of protein sample is ultrasmall (<10 μL). These findings enable the detection of low-abundance proteins and their interaction with membranes
To , or not to : Recent developments and comparisons of regularization schemes
We give an introduction to several regularization schemes that deal with
ultraviolet and infrared singularities appearing in higher-order computations
in quantum field theories. Comparing the computation of simple quantities in
the various schemes, we point out similarities and differences between them.Comment: 61 pages, 12 figures; version sent to EPJC, references update
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