The O(N) S-matrix monolith
Lucía Córdova,Lucía Córdova,Lucía Córdova,Yifei He,Martin Kruczenski,Pedro Vieira,Pedro Vieira +6 more
Reads0
Chats0
TLDR
In this article, the authors consider the space of two-to-two S-matrices of particles of mass m transforming in the vector representation as restricted by the general conditions of unitarity, crossing, analyticity and O(N) symmetry.Abstract:
We consider the scattering matrices of massive quantum field theories with no bound states and a global O(N) symmetry in two spacetime dimensions. In particular we explore the space of two-to-two S-matrices of particles of mass m transforming in the vector representation as restricted by the general conditions of unitarity, crossing, analyticity and O(N) symmetry. We found a rich structure in that space by using convex maximization and in particular its convex dual minimization problem. At the boundary of the allowed space special geometric points such as vertices were found to correspond to integrable models. The dual convex minimization problem provides a novel and useful approach to the problem allowing, for example, to prove that generically the S-matrices so obtained saturate unitarity and, in some cases, that they are at vertices of the allowed space.read more
Citations
More filters
Journal ArticleDOI
Collider physics at the precision frontier
TL;DR: The precision frontier in collider physics is being pushed at impressive speed, from both the experimental and the theoretical side as discussed by the authors, and the aim of this review is to give an overview of recent developments in precision calculations within the Standard Model of particle physics, in particular in the Higgs sector.
Journal ArticleDOI
Top-quark pair production at the LHC: fully differential QCD predictions at NNLO
TL;DR: In this article, a new fully differential calculation of the QCD radiative corrections to the production of top-quark pairs at hadron colliders is performed by using the qT subtraction formalism to handle and cancel infrared singularities.
Journal ArticleDOI
Precision phenomenology with MCFM
TL;DR: The MCFM-9.0 version of the parton-level code as mentioned in this paper was proposed to study uncertainties and PDF sensitivity at NNLO, using 371 PDF set members.
Journal ArticleDOI
Extremal effective field theories
TL;DR: In this paper, the authors explore the constraints of 2 → 2 scattering amplitudes of a light real scalar field, using semi-definite programming to carve out the space of allowed EFT coefficients for a given mass threshold M. This includes the coefficients of s2 + t2 + u2 and stu type interactions.
Journal ArticleDOI
Extremal Effective Field Theories
TL;DR: In this paper, the authors explore the constraints of EFT coefficients from the perspective of 2 to 2 scattering amplitudes of a light real scalar field, using semi-definite programming.
References
More filters
Book ChapterDOI
Graph Implementations for Nonsmooth Convex Programs
Michael C. Grant,Stephen Boyd +1 more
TL;DR: Graph implementations as mentioned in this paper is a generic method for representing a convex function via its epigraph, described in a disciplined convex programming framework, which allows a very wide variety of smooth and nonsmooth convex programs to be easily specified and efficiently solved.
Journal ArticleDOI
Feeling Small: Exploring the Tactile Perception Limits
Lisa Skedung,Martin Arvidsson,Jun Young Chung,Jun Young Chung,Christopher M. Stafford,Birgitta Berglund,Birgitta Berglund,Mark W. Rutland,Mark W. Rutland +8 more
TL;DR: This work combines material science with psychophysics to manufacture and haptically explore a series of topographically patterned surfaces of controlled wavelength, but identical chemistry, demonstrating that human tactile discrimination extends to the nanoscale.
Journal ArticleDOI
Absolute upper bounds for ππ scattering
L. Łukaszuk,Alain J. Martin +1 more
TL;DR: In this paper, the authors derived upper bounds on the pion-pion scattering amplitude inside its analyticity domain and sum rules over the physical pionpion amplitude, in particular over total cross-sections.
Journal ArticleDOI
Z(4) symmetric factorized s matrix in two space-time dimensions
TL;DR: The factorizedS-matrix with internal symmetry Z4 is constructed in two space-time dimensions and the two-particle amplitudes are obtained by means of solving the factorization, unitarity and analyticity equations as mentioned in this paper.
Journal ArticleDOI
Bootstrapping QCD Using Pion Scattering Amplitudes.
TL;DR: In this article, the S-matrix bootstrap of four-dimensional scattering amplitudes with O(3) symmetry and no bound states is considered, and the allowed space of scattering lengths which parametrize the interaction strength at threshold of the various scattering channels is explored.