1. Evolving Architecture for Beyond the Standard Model
KPS Meeting
DCC, Daejeon, Korea
Evolving Architecture for Beyond the Standard Model
~25
Kihyeon CHO, Jangho KIM and Junghyun KIM
(KISTI)

2. Contents Beyond Standard Model Simulation Computing Results Summary
Simulation Tool Kit (MadGraph, Geant4)
Evolving Computing Architecture

3. Higgs Discovery (July 4, 2012)
Beyond Standard Model
Higgs Discovery (July 4, 2012)
The SM is now complete?
⇒ What is next? 3

4. Beyond the Standard Model
Beyond Standard Model
P5 Report ( )
Higgs
Neutrino Mass
After P5 Report ⇒
Dark
Matter
Dark
Energy
The
Unknown
Before P5 Report
Energy Frontier
Intensity Frontier
Cosmic Frontier SM
Beyond the Standard Model

5. Beyond the Standard Model
Beyond Standard Model
Beyond the Standard Model

6. Simulation
HEP Simulation
(physics) 4
We focus on MadGraph & Geant4.

7. Geant4 is the most successful model in HEP.
Simulation
Geant4 is the most successful model in HEP.
HEP user community – BaBar(2001), LHC(2003), Belle II
Other community: Medical, Space, DNA physics, Solid

8. Vision for HEP Simulation
To have a massively parallelized particle transportation engine
To comply with different architecture (GPU, MIC and etc.)
To draw community interests for collateral effort

9. ⇒ Evolving Computing Architecture
P5 report
⇒ Evolving Computing Architecture

10. Computing
S. Y. Jun

11. 1. HTC module into MadGraph
Results
1. HTC module into MadGraph
We embed HTC module into MadGraph.
⇒ Korean Economic News ( )
Then, using it we study BSM.
⇒ arXiv: [hep-ph]
Beyond Standard Model
(Z.’, Z’’)
Simulation Tool Kit (MadGraph)
Evolving Computing Architecture
(HTC)

12. 2. Finite Volume Effects on BK
Results
2. Finite Volume Effects on BK
CP violation in Kaon System
Beyond Standard Model (BK)
Simulation (Finite Volume Effects)
Evolving Computing Architecture
(GPU)
Calculated using Lattice QCD
Error Budget of BK
⇒ To reduce the error of BK, we have to calculate the finite volume effect on the lattice.
Reference: Kim, Jangho et al. Phys.Rev. D83 (2011) arXiv: [hep-lat]

13. GPU programming using CUDA
Results
GPU programming using CUDA
Amount of calculation for FV
X-axis : the number of norms.
Y-axis : various quark masses.
𝐾 1,0 ( 𝑛 𝑀𝐿), when the pion mass is small, the number of norms becomes large.
Calculate Bessel function for every point in this plot and sum over them for same mass.
CPU(single core) calculates point by point in serial order.
It takes about two months to calculate FV correction in double precision for all the lattice samples we have.
If we use GPU, it takes 1 day to calculate same thing.
m_low
m_high
Parallel processing in GPU

14. 3. NPR to calculate the matching factor of BK
Results
3. NPR to calculate the matching factor of BK
Beyond Standard Model(BK)
Simulation
(NPR)
Evolving Computing Architecture
(GPU)
One-Loop
NPR (Non-perturbative Renormalization)
BK in 𝑀𝑆 scheme on coarse lattice ( 20 3 ×64)
Error Budget of BK

15. NPR to calculate the matching factor of BK (cont’d)
Results
NPR to calculate the matching factor of BK (cont’d)
The calculation of the Green’s function for the one-color four-fermion takes 97% of total calculation time.
H i;ABCD; c 1 c 2 c 3 c 4 𝛼 𝑝 1 + 𝜋 𝐴 , 𝑝 2 + 𝜋 𝐵 , 𝑝 3 + 𝜋 𝐶 , 𝑝 4 + 𝜋 𝐷 , 𝑘 =
1 N conf 𝑖 𝑁 𝑐𝑜𝑛𝑓 2𝑎 4 𝑦 𝑒 −𝑖 𝑘 𝑦 𝐸𝐹𝐺𝐻 𝜓 i; AE;c 1 c 1 ′ 𝑝 1 , 𝑦 γ S 1 ⊗ ξ F EF 𝜙 i;FB; c 2 ′ c 2 y, p 2 U i;EH; c ′ 1 c ′ 4 y
𝜓 i;CG; c 3 c 3 ′ p 3 ,𝑦 γ S 2 ⊗ ξ F GH 𝜙 i;HD; c 4 ′ c 4 y, p 4 U i;FG; c′ 2 c′ 3 (y)
𝜓, 𝜙: quark propagator.
𝑈 : gauge link.
𝛼 : indicates operator in the Green’s function ( [𝑆 1 ⊗ 𝐹 1 ] [𝑆 2 ⊗ 𝐹 2 ]).
𝑖 : gauge configuration index.
𝑁 𝑐𝑜𝑛𝑓 : the number of gauge configurations.
𝑎 : lattice spacing.
A,B,C,D,E,F,G,H : hypercubic vectors:
for example, A=(1,1,0,0). 16 cases are possible.
c 1 , c 2 , c 3 , c 4 : color index (0 ∼ 2).
z : lattice site whose spacing is 2𝑎.
z A = 2z+A.
Reference: Hwancheol Jeong, Jangho Kim et al. PoS(LATTICE2014)286 (2014) arXiv: [hep-lat]

16. GPU Performance NPR measurement code is optimized for GTX 480. Program
Results
GPU Performance
Program
CPU
GPU
GPU vs. CPU
CPU Spec.
GFLOPS
VGA
(Peak Performance
in double precision)
Optimi-zation
Finite Volume Effect of 𝐵 𝐾
Xeon
E5-2620
0.5
GTX 480
(168 GFLOPS)
64.3
38%
128.6
Non-perturbative Renormalization(NPR) measurement
Core
i7-4820K
1.13
66.6
40%
58.9
GTX 580
(198 GFLOPS)
76.19
67.2
GTX Titan Black
(1707 GFLOPS)
113.36
100.3
NPR measurement code is optimized for GTX 480.

17. Summary Physics goes beyond discovery.
Computing needs solutions for the evolving architecture.
⇒ To fulfill the gap between physics and computing, we need to focus on simulation R&D.

18. Acknowledgement
Dr. Soo-hyeon Nam
Dr. Soon Yung Jun
Prof. Weonjong Lee