Reduced coordinates on the configuration space of three and four atoms

Dallot, P.; Bristowe, Paul D.; Demazure, Michel

doi:10.1103/physrevb.46.2133

Cited by 5 publications

(3 citation statements)

References 5 publications

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“…The specification that the EFPs are unique monomials translates into the requirement that the corresponding multigraphs are non-isomorphic. Versions of these multigraphs have previously appeared in the physics literature in the context of manybody configurations [90,91], encoding all local scalar operators of a free theory [92], and in graphically depicting ECFs for jets [52,93]. Table 1 contains a summary of the correspondence between the properties of EFPs and multigraphs.…”

Section: The Energy Flow Basismentioning

confidence: 99%

Energy flow polynomials: a complete linear basis for jet substructure

Komiske

Metodiev

Thaler

2018

J. High Energ. Phys.

165

197

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We introduce the energy flow polynomials: a complete set of jet substructure observables which form a discrete linear basis for all infrared-and collinear-safe observables. Energy flow polynomials are multiparticle energy correlators with specific angular structures that are a direct consequence of infrared and collinear safety. We establish a powerful graph-theoretic representation of the energy flow polynomials which allows us to design efficient algorithms for their computation. Many common jet observables are exact linear combinations of energy flow polynomials, and we demonstrate the linear spanning nature of the energy flow basis by performing regression for several common jet observables. Using linear classification with energy flow polynomials, we achieve excellent performance on three representative jet tagging problems: quark/gluon discrimination, boosted W tagging, and boosted top tagging. The energy flow basis provides a systematic framework for complete investigations of jet substructure using linear methods.

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Section: The Energy Flow Basismentioning

confidence: 99%

Energy flow polynomials: a complete linear basis for jet substructure

Komiske

Metodiev

Thaler

2018

J. High Energ. Phys.

165

197

View full text Add to dashboard Cite

show abstract

“…Versions of these multigraphs have previously appeared in the physics literature in the context of many-body configurations [268,269], encoding all local scalar operators of a free theory [270], and in graphically depicting ECFs for jets [97,271].…”

Section: The Energy Flow Basismentioning

confidence: 99%

Energy Flow in Particle Collisions

Metodiev

2020

Preprint

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In this thesis, I introduce a new bottom-up approach to quantum field theory and collider physics, beginning from the observable energy flow: the energy distribution produced by particle collisions. First, I establish a metric space for collision events by comparing their energy flows. I unify many ideas spanning multiple decades, such as observables and jets, as simple geometric objects in this new space. Second, I develop a basis of observables by systematically expanding in particle energies and angles, encompassing many existing observables and uncovering new analytic structures. I highlight how the traditional criteria for theoretical calculability emerge as consistency conditions, due to the redundancy of describing an event using particles rather than its energy flow. Finally, I propose a definition of particle type, or flavor, which makes use of only observable information. This definition requires refining the notion of flavor from a per-event label to a statistical category, and I showcase its direct experimental applicability at colliders. Throughout, I synthesize concepts from particle physics with ideas from statistics and computer science to expand the theoretical understanding of particle interactions and enhance the experimental capabilities of collider data analysis techniques.

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“…Multiparticle correlators are ubiquitous mathematical structures that appear in a variety of physics domains, including kinematic polynomials for scattering amplitudes [1,2], operator bases for effective field theories [3,4], and many-body expansions for molecular analyses [5,6]. Broadly speaking, multiparticle correlators appear whenever the fundamental entities of a system are arranged in sets: unordered, variable-length collections of objects.…”

mentioning

confidence: 99%

Cutting multiparticle correlators down to size

2020

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Multiparticle correlators are mathematical objects frequently encountered in quantum field theory and collider physics. By translating multiparticle correlators into the language of graph theory, we can gain new insights into their structure as well as identify efficient ways to manipulate them. In this paper, we highlight the power of this graph-theoretic approach by "cutting open" the vertices and edges of the graphs, allowing us to systematically classify linear relations among multiparticle correlators and develop faster methods for their computation. The naive computational complexity of an N -point correlator among M particles is O(M N ), but when the pairwise distances between particles can be cast as an inner product, we show that all such correlators can be computed in linear O(M ) runtime. With the help of new tensorial objects called Energy Flow Moments, we achieve a fast implementation of jet substructure observables like C2 and D2, which are widely used at the Large Hadron Collider to identify boosted hadronic resonances. As another application, we compute the number of leafless multigraphs with d edges up to d = 16 (15,641,159), conjecturing that this is the same as the number of independent kinematic polynomials of degree d, previously known only to d = 8 (279).

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Reduced coordinates on the configuration space of three and four atoms

Cited by 5 publications

References 5 publications

Energy flow polynomials: a complete linear basis for jet substructure

Energy flow polynomials: a complete linear basis for jet substructure

Energy Flow in Particle Collisions

Cutting multiparticle correlators down to size

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