Exploiting hidden symmetries to accelerate the lattice calculation of $K\to\pi\pi$ decays with G-parity boundary conditions - INSPIRE

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Exploiting hidden symmetries to accelerate the lattice calculation of $K\to\pi\pi$ decays with G-parity boundary conditions

Christopher Kelly
(
- Brookhaven Natl. Lab.
)

Dec 27, 2023

7 pages

Published in:

PoS LATTICE2023 (2024) 335

Contribution to:

- Lattice 2023
, 335

Published: Dec 27, 2023

DOI:

10.22323/1.453.0335

reference search1 citation

Citations per year

Abstract: (SISSA)

The RBC & UKQCD collaborations have successfully employed G-parity boundary conditions in the measurement of

K\to\pi\pi

decays to obtain a physical decay with the two-pion ground state, at the cost of a significant increase in computational expense. We report on new theoretical/algorithmic developments based upon the properties of the Dirac operator under complex conjugation that have been exploited to achieve highly significant computational cost reductions, and explain their impact on our ongoing effort to repeat the calculation on finer lattices.

operator: Dirac
lattice
G parity
boundary condition
costs
ground state
hidden symmetry
two-pion

References(12)

Figures(0)

[1]

Standard Model Prediction for Direct CP Violation in K→ππ Decay

RBC and
UKQCD

Collaborations

•

Z. Bai
(
- Columbia U.
)

et al.

- Phys.Rev.Lett. 115 (2015) 21, 212001
•
e-Print:
- 1505.07863
•
DOI:
- 10.1103/PhysRevLett.115.212001

[2]

Direct CP violation and the $\Delta I=1/2$ rule in $K\to\pi\pi$ decay from the standard model

RBC and
UKQCD

Collaborations

•

R. Abbott
(
- Columbia U.
)

et al.

- Phys.Rev.D 102 (2020) 5, 054509
•
e-Print:
- 2004.09440
•
DOI:
- 10.1103/PhysRevD.102.054509

[3]

$Δ I = 3 / 2$ and $Δ I = 1 / 2$ channels of $K \to π π$ decay at the physical point with periodic boundary conditions

RBC and
UKQCD

Collaborations

•

Thomas Blum
(
- Connecticut U. and
- RIKEN BNL
)

et al.

- Phys.Rev.D 108 (2023) 9, 094517
•
e-Print:
- 2306.06781
•
DOI:
- 10.1103/PhysRevD.108.094517

[4]

$π - π$ scattering, QED, and finite-volume quantization

Norman Christ
(
- Columbia U.
)
,
Xu Feng
(
- Peking U. and
- CICQM, Beijing and
- Peking U., CHEP and
- Peking U., SKLNPT
)
,
Joseph Karpie
(
- Columbia U.
)
,
Tuan Nguyen
(
- Columbia U.
)

- Phys.Rev.D 106 (2022) 1, 014508
•
e-Print:
- 2111.04668
•
DOI:
- 10.1103/PhysRevD.106.014508

[5]

Non-perturbative matching of three/four-flavor Wilson coefficients with a position-space procedure

Masaaki Tomii
(
- Columbia U.
)

- PoS LATTICE2019 (2020) 174
•
DOI:
- 10.22323/1.363.0174

[6]

Lattice simulations with G-parity Boundary Conditions

- Phys.Rev.D 101 (2020) 1, 014506
•
e-Print:
- 1908.08640
•
DOI:
- 10.1103/PhysRevD.101.014506

[7]

Exact Pseudofermion Action for Monte Carlo Simulation of Domain-Wall Fermion

TWQCD

Collaboration

•

Yu-Chih Chen
(
- Taiwan, Natl. Taiwan U.
)

et al.

- Phys.Lett.B 738 (2014) 55-60
•
e-Print:
- 1403.1683
•
DOI:
- 10.1016/j.physletb.2014.09.016

[8]

Domain Wall Fermion QCD with the Exact One Flavor Algorithm

- Phys.Rev.D 97 (2018) 5, 054503
•
e-Print:
- 1706.05843
•
DOI:
- 10.1103/PhysRevD.97.054503

[9]

Grid: A next generation data parallel C++ QCD library

Peter A. Boyle
(
- Edinburgh U.
)
,
Guido Cossu
(
- INFN, Pisa and
- Pisa, Scuola Normale Superiore
)
,
Azusa Yamaguchi
(
- Glasgow U.
)
,
Antonin Portelli
(
- Southampton U.
)

- PoS LATTICE2015 (2016) 023
•
DOI:
- 10.22323/1.251.0023

[10]

Speeding up the hybrid Monte Carlo algorithm for dynamical fermions

Martin Hasenbusch
(
- NIC, Zeuthen and
- DESY, Zeuthen
)

- Phys.Lett.B 519 (2001) 177-182
•
e-Print:
- hep-lat/0107019
•
DOI:
- 10.1016/S0370-2693(01)01102-9

[11]

Improving dynamical lattice QCD simulations through integrator tuning using Poisson brackets and a force-gradient integrator

M.A. Clark
(
- Harvard-Smithsonian Ctr. Astrophys.
)
,
Balint Joo
(
- Jefferson Lab
)
,
A.D. Kennedy
(
- Edinburgh U.
)
,
P.J. Silva
(
- Coimbra U.
)

- Phys.Rev.D 84 (2011) 071502
•
e-Print:
- 1108.1828
•
DOI:
- 10.1103/PhysRevD.84.071502

[12]

Improving DWF Simulations: the Force Gradient Integrator and the Möbius Accelerated DWF Solver

Hantao Yin
(
- Columbia U.
)
,
Robert D. Mawhinney
(
- Columbia U.
)

- PoS LATTICE2011 (2011) 051
•
e-Print:
- 1111.5059
•
DOI:
- 10.22323/1.139.0051