$I=1$ $\pi$-$\pi$ scattering at the physical point

Andrew D. Hanlon; Ben H\"orz; Colin Morningstar; Daniel Mohler; Hartmut Wittig; Srijit Paul

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$I=1$ $\pi$-$\pi$ scattering at the physical point

Srijit Paul, Andrew D. Hanlon, Ben Hörz, Daniel Mohler, Colin Morningstar, Hartmut Wittig

High Energy Physics - Lattice · Submitted 14 Dec 2021

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We perform the L\"uscher analysis to determine the scattering phase shift which is finding good agreement with the experimentally obtained phase shifts.

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arXiv ID2112.07385 (version 1)

Pith IDBY4SNXK4, Pith's permanent record of this paper and its review

CitationAndrew D. Hanlon, Ben H\"orz, Colin Morningstar, Daniel Mohler, Hartmut Wittig, Srijit Paul. "$I=1$ $\pi$-$\pi$ scattering at the physical point." arXiv:2112.07385 (2021). https://pith.science/paper/BY4SNXK4

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,962 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.73 · human participants 0.01 · controlled comparison 0.07 · randomized assignment 0.01 · states quantitative result 0.09 · compares with prior results 0.91 · mentions code or data availability 0.02.

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We present a preliminary analysis of $I=1$ $\pi\,\pi$ 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 L\"uscher analysis to determine the scattering phase shift which is finding good agreement with the experimentally obtained phase shifts.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We present a preliminary analysis of $I=1$ $\pi\,\pi$ scattering at the physical point.	contribution 1.00	0.93	0.12	asserted 0.90
s1	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.	method 1.00	0.95	0.03	asserted 1.00
s2	We perform the L\"uscher analysis to determine the scattering phase shift which is finding good agreement with the experimentally obtained phase shifts.	result 0.90	0.95	0.72	asserted 0.95

What kind of paper the classifier reports this is: simulation study 1.00 · evidence from simulation or computation 1.00.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

We present a preliminary analysis of $I=1$ $\pi\,\pi$ 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 L\"uscher analysis to determine the scattering phase shift which is finding good agreement with the experimentally obtained phase shifts.

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6 arXiv papers cite this in 6 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 4 sentences without a confident label

Uses its method or tool 1 paper

Following Ref. [ref] , our approach combines low-mode averaging (LMA) estimators, which are based on an exact treatment of the low modes of the Dirac operator [ref] , with a dedicated spectral reconstruction of the isovector channel [ref] for two ensembles in the vicinity of the physical point, supplemented by the standard bounding method [ref] .

Higher-order hadronic vacuum polarization contribution to the muon $g-2$ from lattice QCD · Long-distance window · 1.00

Cites it as support 1 paper

Indications of stabilizing behavior on the computation have also been observed in the study of $I=1$ $π$-$π$ scattering at the physical point [ref] .

Low-mode deflation for twisted-mass and RHMC reweighting in lattice QCD · Conclusions · 0.98

What it cites · 18 sentences without a confident label

Uses the method or tool of 5 papers

The $R^n(t)$ quantifies the energy difference from that non-interacting level which is then fitted with a single exponential form to obtain the shift $Δ=ln(R^(n)(t)/R^(n)(t+1))$ [ref] from the non-interacting level.

$I=1$ and $I=2$ $\pi-\pi$ scattering phase shifts from $N_{\mathrm{f}} = 2+1$ lattice QCD · Methodology · 0.98
Distillation Setup: We employ the stochastic LapH method to treat all-to-all quark propagators [ref] .

A novel quark-field creation operator construction for hadronic physics in lattice QCD · Methodology · 1.00
Distillation Setup: We employ the stochastic LapH method to treat all-to-all quark propagators [ref] .

Improved stochastic estimation of quark propagation with Laplacian Heaviside smearing in lattice QCD · Methodology · 1.00

Cites as background 24 papers

In the past few years, a number of groups [ref] in the community have made significant efforts in this direction.

Electromagnetic and strong isospin-breaking corrections to the muon $g - 2$ from Lattice QCD+QED · Introduction · 0.93
In the past few years, a number of groups [ref] in the community have made significant efforts in this direction.

Hadronic vacuum polarization contribution to the muon $g-2$ with 2+1 flavor lattice QCD on a larger than (10 fm$)^4$ lattice at the physical point · Introduction · 0.93
In the past few years, a number of groups [ref] in the community have made significant efforts in this direction.

Hadronic-vacuum-polarization contribution to the muon's anomalous magnetic moment from four-flavor lattice QCD · Introduction · 0.93

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