# Theoretical Physics Quarterly Progress Reports

# Los Alamos HEP Theory Quarterly Report FY2019-Q4

## Lattice QCD

The Los Alamos Lattice QCD team and their collaborators are carrying out precision studies investigating signatures of new physics at the TeV scale, Novel CP violating operator's contribution to nEDM, elucidating the structure of the nucleon, and neutrino-nucleon interactions. Progress during this quarter on these projects is summarized below.

### Nucleon charges and form-factors

The analysis of isovector electric and magnetic form factors from the 2+1+1-flavor clover-on-HISQ calculations was completed and results were submitted for publication. A paper solving the problem of the violation of the partially conserved axial current by the axial form factors was prepared and submitted for publication. The final analysis of a manuscript on axial vector form factors on both 2+1+1-flavor clover-on-HISQ and 2+1-flavor clover-on-clover ensembles was carried out. Analysis of 2+1-flavor clover-on-clover lattice QCD calculations is in final stages and manuscripts describing the results are under preparation.

Relevant References:

Electric and Magnetic Form Factors arXiv:1906.07217

Axial Vector Form Factors from Lattice QCD that Satisfy the PCAC Relation arXiv:1905.06470

FLAG Review arXiv:1902.08191

Physical Review D98 (2018) 094512 arXiv:1806.10604

Physical Review D98 (2018) 091501 arXiv:1808.07597

Physical Review D98 (2018) 034503 arXiv:1806.09006

Physical Review D96 (2017) 114503 arXiv:1705.06834

Physical Review D95:5 (2017) 074508

Physical Review D94:5 (2016) 054508

Physical Review D93:11 (2016) 114506

arXiv:1601.01730

Physical Review D92:9 (2015) 094511

Physical Review D89:9 (2014) 094502

Physical Review D85:5 (2012) 054512

### Matrix elements of novel CP violating operators and nEDM

Calculations of the matrix elements of the quark chromo electric dipole moment operator (cEDM) and its mixing with the pseudoscalar operator, and of the Theta and Weinberg terms are on going. Preliminary results using a variance reduction method developed by us show a factor of ten reduction in errors. Investigations of gradient flow method to deal with the divergent renormalization and mixing problem of the cEDM and Weinberg operators are continuing. The status of our results were presented by Boram Yoon at Lattice 2019.

Relevant References:

arXiv:1812.06233

arXiv:1712.08557

arXiv:1701.04132

arXiv:1612.08438

arXiv:1601.02264

Physical Review D92:9 (2015) 114026

Physical Review Letters 112:21 (2015) 212002

arXiv:1502.07325

arXiv:1403.2445

arXiv:1212.4918

### Matrix elements of flavor diagonal operators

The matrix elements of flavor diagonal operators are needed for the analysis of a number of interesting qualities such as the nucleon electric dipole moment, the quark contribution to the nucleon spin, the nucleon sigma term and the strangeness content of the proton, and the interaction of dark matter with nucleons. These matrix elements get contributions from both connected and disconnected diagrams. The latter are computationally challenging to compute with high precision. This quarter, Bhattacharya, Gupta, Park and Yoon continued their analysis of the matrix elements of the scalar operator and their renormalization. These matrix elements are relevant for the sigma terms and dark matter interaction with nucleons.

Relevant References:

Physical Review D98 (2018) 094512 arXiv:1806.10604

Physical Review D98 (2018) 091501 arXiv:1808.07597

arXiv:1611.01193

### Transverse Momentum Distribution Functions

New simulations, in collaboration with the Regensburg group, are continuing.

Relevant References:

Physical Review D96 (2017) 094508 arXiv:1706.03406

arXiv:1611.01193

arXiv:1601.05717

## QuantISED

- Bhattacharya, Gupta and collaborators are developing methods to map continuum field theories onto a discrete space-time lattice with a small finite Hilbert space at each lattice site. They are currently determining whether the O(3) sigma model, represented by various O(3)-symmetric two-qubit Hamiltonian on each lattice site, displays desired properties such as confinement and topology. The long term goal is determine whether the sign problem and formulation of chiral gauge theories that are challenges for classical computers can be addressed by quantum computers. They are also developing algorithms for simulating qubit versions of field theories on quantum computers.
- Gupta and collaborators are developing quantum algorithms to understand the final states observed in the detector in a neutrino-nucleus interaction and connect it to the neutrino energy. This requires modelling the initial state (dominated by energy and distance scales of the order of the separation between nucleons in the nucleus) and the struck state and then evolve it quantum mechanically and calculate the response functions that encode information about the final states observed in the detectors. They are also exploring different error-mitigation techniques to increase the fidelity of the calculations. Details of the calculations and methodology are given in Ref. [1].
- Sorborger and collaborators are developing quantum algorithms for studying the foundations of quantum physics. Their algorithms will enable studies of the quantum-classical transition on near-term quantum computers and will extend the array of tools available to physicists for the study of system-environment interactions.
- Yoon, Bhattacharya, Gupta and collaborators are continuing to work on (1) enhancing lattice QCD calculations with the Machine Learning regression algorithm using the D-Wave quantum annealer, (2) developing a data compression algorithm on D-Wave and apply it to lattice QCD and Large Hadron Collider data, and (3) investigating various applications of the sparse coding implemented on D-Wave as a feature extraction algorithm that improves quantum support vector machine, generative models for lattice QCD Monte Carlo sampling and anomaly detector.

Publications:

Quantum Computing for Neutrino-nucleus Scattering, arXiv:1911.06368 (2019)

A regression algorithm for accelerated lattice QCD that exploits sparse inference on the D-Wave quantum annealer, arXiv:1911.06267 (2019)

Machine-Learning Prediction for Quasi-PDF Matrix Elements, arXiv:1909.10990 (2019)

Physics Review D100 (2019) 054505: Qubit regularization of the O(3) sigma model

Physics Review D100 (2019) 014504: Machine Learning for Lattice QCD

Quantum simulations of one-dimensional quantum systems, R.D. Somma, Quantum Info. Comput. 16, 1125 (2016)

## Michael Graesser: Dark Matter and LHC Physics

Graesser and University of New Mexico graduate student Jacek Osinski are finishing a manuscript on the impact that non-trivial cosmologies in the early history of the Universe may have on scenarios for topological dark matter. He is also investigating the constraints magnetars and other stellar objects may place on axion-like particles or other cosmological relics. He is also exploring hidden sector monopole models for dark matter and their direct detection and astrophysical constraints in collaboration with Ian Shoemaker.

Relevant References:

Physics Letters B749 (2014) 293

arXiv:1311.2028

Physical Review Letters111 (2013) 121802

JHEP 1302(2013) 046

JHEP 1210(2012) 025

Physics Letters B714 (2012) 267

Physics Review D85 (2012) 054512

arXiv:1107.2666

JHEP 1110(2011) 110

## Michael Graesser: Neutrinoless double beta decay

Graesser continues his research into the neutrinoless double beta decay process nn-> pp ee. A paper extending previous work to next-to-leading order in the chiral expansion has been published.

Relevant References:

Physical Review**C100** (2019) no.5, 055504 arXiv:1907.11254

Journal of High Energy Physics12 (2018) 097 arXiv:1806.02780

Physical Review Letters 120:20 (2018) 202001 arXiv:1802.10097

Journal of High Energy Physics12 (2017) 82 arXiv:1708.09390

Journal of High Energy Physics (2017)99

Physics Letters B769 (2017) 460

## Daniel S. M. Alves

During the past quarter, Daniele has worked on the following topics:

- models of sterile neutrinos with BSM matter effects induced by light mediators, to explain the MiniBooNE low energy excess and the distortion in the 8B solar neutrino spectrum. She is currently investigating whether this model might also explain the LSND anomaly;
- new 40Ar disintegration signatures of light axions and dark photons at CCM, and estimation of CCM sensitivity to uncovered parameter space in this models;
- axion interactions with monopoles, and possible realization of these interactions in condensed matter systems, such as spin ice;
- investigation of whether the anomalies in 8Be and 4He transitions can be tested with a new experiment hosted at LANL;
- preparation of a new paper on future experimental constraints on a pion-phobic QCD axion in the MeV mass window;
- a new implementation of the renormalization group in EFTs in position space, by generalizing methods of entanglement renormalization and tensor networks from CMP and QIS.

Relevant References:

Journal of High Energy Physics 07 (2018) 92 arXiv:1710.03764