Publications (11)
Counting Singular Plane Curves Via Hilbert Schemes
Heather Russell
We give a method of counting the number of curves with a given type of singularity in a suitably ample linear series on a smooth surface using punctual Hilbert schemes. The types o…
Recent Progress and Next Steps for the MATHUSLA LLP Detector
Cristiano Alpigiani, Juan Carlos Arteaga-Velázquez, Austin Ball +93
We report on recent progress and next steps in the design of the proposed MATHUSLA Long Lived Particle (LLP) detector for the HL-LHC as part of the Snowmass 2021 process. Our under…
Searching for long-lived particles beyond the Standard Model at the Large Hadron Collider
Juliette Alimena, James Beacham, Martino Borsato +198
Particles beyond the Standard Model (SM) can generically have lifetimes that are long compared to SM particles at the weak scale. When produced at experiments such as the Large Had…
Conceptual Design Report for the MATHUSLA Long-Lived Particle Detector near CMS
Branden Aitken, Cristiano Alpigiani, Juan Carlos Arteaga-Velázquez +70
We present the Conceptual Design Report (CDR) for the MATHUSLA (MAssive Timing Hodoscope for Ultra-Stable neutraL pArticles) long-lived particle detector at the HL-LHC, covering th…
Feebly-Interacting Particles:FIPs 2020 Workshop Report
Prateek Agrawal, Martin Bauer, James Beacham +43
With the establishment and maturation of the experimental programs searching for new physics with sizeable couplings at the LHC, there is an increasing interest in the broader part…
An Update to the Letter of Intent for MATHUSLA: Search for Long-Lived Particles at the HL-LHC
Cristiano Alpigiani, Juan Carlos Arteaga-Velázquez, Austin Ball +80
We report on recent progress in the design of the proposed MATHUSLA Long Lived Particle (LLP) detector for the HL-LHC, updating the information in the original Letter of Intent (Lo…
MATHUSLA: An External Long-Lived Particle Detector to Maximize the Discovery Potential of the HL-LHC
Branden Aitken, Cristiano Alpigiani, Juan Carlos Arteaga-Velázquez +70
We present the current status of the MATHUSLA (MAssive Timing Hodoscope for Ultra-Stable neutraL pArticles) long-lived particle (LLP) detector at the HL-LHC, covering the design, f…
Toric Varieties in Hilbert Schemes
Heather Russell
For an arbitrary field K, let I be an ideal in the ring K[[x,y]] expressible as a polynomial in either the pair of ideals (x, y^4) and (x,y) or the pair (x,y^3) and (x^2, y). Let G…
Alignment Correspondences
Heather Russell
We study correspondences of zero-dimensional subschemes of a smooth variety X "aligned" in the same way in inside the appropriate product of Hilbert schemes. We show that such corr…
Data-driven Model-independent Searches for Long-lived Particles at the LHC
Andrea Coccaro, David Curtin, H. J. Lubatti +2
Neutral long-lived particles (LLPs) are highly motivated by many BSM scenarios, such as theories of supersymmetry, baryogenesis, and neutral naturalness, and present both tremendou…
The Robinson-Schensted Correspondence and -web Bases
Matthew Housley, Heather Russell, Julianna Tymoczko
We study natural bases for two constructions of the irreducible representation of the symmetric group corresponding to : the {\em reduced web} basis associated to Kuperber…