Proceedings of the 38th International Symposium on Lattice Field Theory — PoS(LATTICE2021) 2022
DOI: 10.22323/1.396.0551
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I=1 $\pi$-$\pi$ scattering at the physical point

Abstract: We present a preliminary analysis of 𝐼 = 1 𝜋 𝜋 scattering at the physical point. We make use of the stochastic variant of the distillation framework (also known as sLapH) to compute the relevant two-point correlation matrices using a basis of single and multihadron interpolating operators to estimate the low energy spectra. We perform the Lüscher analysis to determine the scattering phase shift which is finding good agreement with the experimentally obtained phase shifts.

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Cited by 4 publications
(2 citation statements)
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“…To reach our goal of a sub-percent precision calculation of a hvp µ , the main task is to decrease the uncertainty of our calculation, especially at close-to-physical quark masses. Noise reduction techniques in the computation of the vector correlation function, as well as dedicated spectroscopy studies [54][55][56] will help us to achieve this goal.…”
Section: Discussionmentioning
confidence: 99%
“…To reach our goal of a sub-percent precision calculation of a hvp µ , the main task is to decrease the uncertainty of our calculation, especially at close-to-physical quark masses. Noise reduction techniques in the computation of the vector correlation function, as well as dedicated spectroscopy studies [54][55][56] will help us to achieve this goal.…”
Section: Discussionmentioning
confidence: 99%
“…General-purpose GEMM implementations are typically optimized targeting larger matrix sizes. Thus, for the small matrix-matrix multiplication required here, the Intel ® Math Kernel Library (Intel ® MKL) with JIT 2First results in the mesonic sector presented in [29] used the analogous mode-doublet approach for meson construction, which is still affordable due to its slightly weaker 𝑁 2 ev scaling. For the 𝑁 ev = 1536 employed in that work, the mode triplet on the other hand occupies 1.8 TB of memory already for the moderate number of momenta 𝑁 mom = 33, clearly making this approach impractical.…”
Section: Implementation Detailsmentioning
confidence: 99%