Evolving Architecture for Beyond the Standard Model KPS Meeting DCC, Daejeon, Korea Evolving Architecture for Beyond the Standard Model 2015. 4.22~25 Kihyeon CHO, Jangho KIM and Junghyun KIM (KISTI)

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

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

Beyond the Standard Model Beyond Standard Model P5 Report (2014.5.22) 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

Beyond the Standard Model Beyond Standard Model Beyond the Standard Model

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

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

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

⇒ Evolving Computing Architecture P5 report ⇒ Evolving Computing Architecture

Computing S. Y. Jun

1. HTC module into MadGraph Results 1. HTC module into MadGraph We embed HTC module into MadGraph. ⇒ Korean Economic News (2014.10.31) Then, using it we study BSM. ⇒ arXiv: 1412.1541 [hep-ph] Beyond Standard Model (Z.’, Z’’) Simulation Tool Kit (MadGraph) Evolving Computing Architecture (HTC)

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) 117501 arXiv:1101.2685 [hep-lat]

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

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

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 1 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 2 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:1410.6607[hep-lat]

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.

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.

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