<p>We introduce a generative AI model to obtain type IIB brane configurations that realize toric phases of a family of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mn>4</mn><mi>D</mi></mrow></math> <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="script">N</mi><mo>=</mo><mn>1</mn></math> supersymmetric gauge theories. These <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mn>4</mn><mi>D</mi></math> <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="script">N</mi><mo>=</mo><mn>1</mn></math> quiver gauge theories are world volume theories of a D3-brane probing a toric Calabi-Yau 3-fold. The type IIB brane configurations are given by the coamoeba projection of the mirror curve associated with the toric Calabi-Yau 3-fold. The shape of the mirror curve and its coamoeba projection, as well as the corresponding type IIB brane configuration and the toric phase of the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mn>4</mn><mi>d</mi></math> <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="script">N</mi><mo>=</mo><mn>1</mn></math> theory, all depend on the complex structure moduli parametrizing the mirror curve. We train a generative AI model, a conditional variational autoencoder (CVAE), that takes a choice of complex structure moduli as input and generates the corresponding coamoeba. This enables us not only to obtain a high-resolution representation of the entire phase space for a family of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mn>4</mn><mi>D</mi></math> <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="script">N</mi><mo>=</mo><mn>1</mn></math> theories corresponding to the same toric Calabi-Yau 3-fold, but also to continuously track the movements of the mirror curve and the branes wrapping the curve in the corresponding type IIB brane configurations during phase transitions associated with Seiberg duality.</p>

South Korea

Rak-Kyeong Seong

Generative AI for brane configurations and coamoeba

Quantitatively connecting properties of parton distribution functions (PDFs, or parton densities) to the theoretical assumptions made within the QCD analyses which produce them has been a longstanding problem in HEP phenomenology. To confront this challenge, we introduce an ML-based explainability framework, XAI4PDF, to classify PDFs by parton flavor or underlying theoretical model using ResNet-like neural networks (NNs). By leveraging the differentiable nature of ResNet models, this approach deploys guided backpropagation to dissect relevant features of fitted PDFs, identifying x-dependent signatures of PDFs important to the ML model classifications. By applying our framework, we are able to sort PDFs according to the analysis which produced them while constructing quantitative, human-readable maps locating the x regions most affected by the internal theory assumptions going into each analysis. This technique expands the toolkit available to PDF analysis and adjacent particle phenomenology while pointing to promising generalizations.

United States

Brandon Kriesten

Jonathan Gomprecht

T. Hobbs

Explainable AI classification for parton density theory

In recent years, neural network-based classification has been used to improve data analysis at collider experiments. While this strategy proves to be hugely successful, the underlying models are not commonly shared with the public and rely on experiment-internal data as well as full detector simulations. We show a concrete implementation of a newly proposed strategy, so-called Classifier Surrogates, to be trained inside the experiments, that only utilise publicly accessible features and truth information. These surrogates approximate the original classifier distribution, and can be shared with the public. Subsequently, such a model can be evaluated by sampling the classification output from high-level information without requiring a sophisticated detector simulation. Technically, we show that continuous normalizing flows are a suitable generative architecture that can be efficiently trained to sample classification results using conditional flow matching. We further demonstrate that these models can be easily extended by Bayesian uncertainties to indicate their degree of validity when confronted with unknown inputs by the user. For a concrete example of tagging jets from hadronically decaying top quarks, we demonstrate the application of flows in combination with uncertainty estimation through either inference of a mean-field Gaussian weight posterior, or Monte Carlo sampling network weights.

Germany

Sebastian Bieringer

Gregor Kasieczka

Jan Kieseler

Mathias Trabs

Classifier surrogates: sharing AI-based searches with the world

Very recently, the Belle II collaboration presented a measurement for the decays <math><msup><mi>B</mi><mo>+</mo></msup><mo>→</mo><msup><mover><mi>D</mi><mo>¯</mo></mover><mrow><mo>(</mo><mo>*</mo><mo>)</mo><mn>0</mn></mrow></msup><msup><mi>K</mi><mo>+</mo></msup><msup><mover><mi>K</mi><mo>¯</mo></mover><mn>0</mn></msup></math> and <math><msup><mi>B</mi><mn>0</mn></msup><mo>→</mo><msup><mi>D</mi><mrow><mo>(</mo><mo>*</mo><mo>)</mo><mo>−</mo></mrow></msup><msup><mi>K</mi><mo>+</mo></msup><msup><mover><mi>K</mi><mo>¯</mo></mover><mn>0</mn></msup></math>, with the bulk of observed <math><mi>m</mi><mo>(</mo><msup><mi>K</mi><mo>+</mo></msup><msubsup><mi>K</mi><mi>S</mi><mn>0</mn></msubsup><mo>)</mo></math> distributions showing low-mass structures in all four channels. In this work, we study the contributions of <math><mi>ρ</mi><mo>(</mo><mn>770</mn><mo>,</mo><mn>1450</mn><msup><mo>)</mo><mo>+</mo></msup></math>, <math><msub><mi>a</mi><mn>2</mn></msub><mo>(</mo><mn>1320</mn><msup><mo>)</mo><mo>+</mo></msup></math>, and <math><msub><mi>a</mi><mn>0</mn></msub><mo>(</mo><mn>980</mn><mo>,</mo><mn>1450</mn><msup><mo>)</mo><mo>+</mo></msup></math> resonances to these decay processes. The intermediate states <math><mi>ρ</mi><mo>(</mo><mn>770</mn><mo>,</mo><mn>1450</mn><msup><mo>)</mo><mo>+</mo></msup></math> are found to dominate the low-mass distribution of kaon pairs roughly contributing to half of the total branching fraction in each of the four decay channels. The contribution of the tensor <math><msub><mi>a</mi><mn>2</mn></msub><mo>(</mo><mn>1320</mn><msup><mo>)</mo><mo>+</mo></msup></math> meson is found to be negligible. Near the threshold of the kaon pair, the state <math><msub><mi>a</mi><mn>0</mn></msub><mo>(</mo><mn>980</mn><msup><mo>)</mo><mo>+</mo></msup></math> turns out to be much less important than expected, not being able to account for the enhancement of events in that energy region observed in the <math><msup><mi>B</mi><mo>+</mo></msup><mo>→</mo><msup><mover><mi>D</mi><mo>¯</mo></mover><mrow><mo>(</mo><mo>*</mo><mo>)</mo><mn>0</mn></mrow></msup><msup><mi>K</mi><mo>+</mo></msup><msup><mover><mi>K</mi><mo>¯</mo></mover><mn>0</mn></msup></math> decays. Further studies both from the theoretical and experimental sides are needed to elucidate the role of the nonresonant contributions governing the formation of <math><msup><mi>K</mi><mo>+</mo></msup><msup><mover><mi>K</mi><mo>¯</mo></mover><mn>0</mn></msup></math> pairs near their threshold in these decay processes.

China

Spain

Wen-Fei Wang

Li-Fei Yang

Ai-Jun Ma

Àngels Ramos

Low-mass enhancement of kaon pairs in <math><mrow><msup><mrow><mi>B</mi></mrow><mrow><mo>+</mo></mrow></msup><mo>→</mo><msup><mrow><mover><mrow><mi>D</mi></mrow><mrow><mo>¯</mo></mrow></mover></mrow><mrow><mo>(</mo><mo>*</mo><mo>)</mo><mn>0</mn></mrow></msup><msup><mrow><mi>K</mi></mrow><mrow><mo>+</mo></mrow></msup><msup><mrow><mover><mrow><mi>K</mi></mrow><mrow><mo>¯</mo></mrow></mover></mrow><mrow><mn>0</mn></mrow></msup></mrow></math> and <math><mrow><msup><mrow><mi>B</mi></mrow><mrow><mn>0</mn></mrow></msup><mo>→</mo><msup><mrow><mi>D</mi></mrow><mrow><mo>(</mo><mo>*</mo><mo>)</mo><mo>−</mo></mrow></msup><msup><mrow><mi>K</mi></mrow><mrow><mo>+</mo></mrow></msup><msup><mrow><mover><mrow><mi>K</mi></mrow><mrow><mo>¯</mo></mrow></mover></mrow><mrow><mn>0</mn></mrow></msup></mrow></math> decays

We consider exact Wentzel-Kramers-Brillouin analysis to a <math><mi>P</mi><mi>T</mi></math> symmetric quantum mechanics defined by the potential, <math><mi>V</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><msup><mi>ω</mi><mn>2</mn></msup><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mi>g</mi><msup><mi>x</mi><mn>2</mn></msup><mo>(</mo><mi>i</mi><mi>x</mi><msup><mo>)</mo><mrow><mi>ϵ</mi><mo>=</mo><mn>2</mn></mrow></msup></math> with <math><mi>ω</mi><mo>∈</mo><msub><mi>R</mi><mrow><mo>≥</mo><mn>0</mn></mrow></msub></math>, <math><mi>g</mi><mo>∈</mo><msub><mi>R</mi><mrow><mo>&gt;</mo><mn>0</mn></mrow></msub></math>. We in particular aim to verify a conjecture proposed by Ai-Bender-Sarkar (ABS), that pertains to a relation between <math><mi>D</mi></math>-dimensional <math><mi>P</mi><mi>T</mi></math>-symmetric theories and analytic continuation (AC) of Hermitian theories concerning the energy spectrum or Euclidean partition function. For the purpose, we construct energy quantization conditions by exact Wentzel-Kramers-Brillouin analysis and write down their transseries solution by solving the conditions. By performing alien calculus to the energy solutions, we verify validity of the ABS conjecture and seek a possibility of its alternative form by Borel resummation theory if it is violated. Our results claim that the validity of the ABS conjecture drastically changes depending on whether <math><mi>ω</mi><mo>&gt;</mo><mn>0</mn></math> or <math><mi>ω</mi><mo>=</mo><mn>0</mn></math>: If <math><mi>ω</mi><mo>&gt;</mo><mn>0</mn></math>, then the ABS conjecture is violated when exceeding the semiclassical level of the first nonperturbative order, but its alternative form is constructable by Borel resummation theory. The <math><mi>P</mi><mi>T</mi></math> and the AC energies are related to each other by a one-parameter Stokes automorphism, and a median resummed form, which corresponds to a formal exact solution, of the AC energy (resp. <math><mi>P</mi><mi>T</mi></math> energy) is directly obtained by acting Borel resummation to a transseries solution of the <math><mi>P</mi><mi>T</mi></math> energy (resp. AC energy). If <math><mi>ω</mi><mo>=</mo><mn>0</mn></math>, then, with respect to the inverse energy level-expansion, not only perturbative/nonperturbative structures of the <math><mi>P</mi><mi>T</mi></math> and the AC energies but also their perturbative parts do not match with each other. These energies are independent solutions, and no alternative form of the ABS conjecture can be reformulated by Borel resummation theory.

Japan

Syo Kamata

Exact WKB analysis for <math><mrow><mi>P</mi><mi>T</mi></mrow></math>-symmetric quantum mechanics: Study of the Ai-Bender-Sarkar conjecture

We study the contributions for <math><mi>K</mi><msup><mi>η</mi><mo>′</mo></msup></math> pair originating from the scalar intermediate state <math><msubsup><mi>K</mi><mn>0</mn><mo>*</mo></msubsup><mo>(</mo><mn>1430</mn><mo>)</mo></math> in the three-body decays <math><mi>B</mi><mo>→</mo><mi>K</mi><msup><mi>η</mi><mo>′</mo></msup><mi>h</mi></math> (<math><mrow><mi>h</mi><mo>=</mo><mi>π</mi></mrow></math>, <math><mrow><mi>K</mi></mrow></math>) within the perturbative QCD approach. The contribution of <math><msubsup><mi>K</mi><mn>0</mn><mo>*</mo></msubsup><mo>(</mo><mn>1430</mn><mo>)</mo><mo>→</mo><mi>K</mi><msup><mi>η</mi><mo>′</mo></msup></math> is described by the Flatté formula with coupled channels <math><mi>K</mi><mi>π</mi></math>, <math><mi>K</mi><mi>η</mi></math>, and <math><mi>K</mi><msup><mi>η</mi><mo>′</mo></msup></math>. The strong coupling constants <math><msub><mi>g</mi><mrow><msubsup><mi>K</mi><mn>0</mn><mo>*</mo></msubsup><mi>K</mi><msup><mi>η</mi><mrow><mo>(</mo><mo>′</mo><mo>)</mo></mrow></msup></mrow></msub></math> are extracted from <math><msub><mi>g</mi><mrow><msubsup><mi>K</mi><mn>0</mn><mo>*</mo></msubsup><mi>K</mi><mi>π</mi></mrow></msub></math> within flavor SU(3) symmetry. In spite of the strong depression by phase space near the threshold of <math><mi>K</mi><msup><mi>η</mi><mo>′</mo></msup></math>, the <math><mi>C</mi><mi>P</mi></math> averaged branching fractions for the <math><mi>B</mi><mo>→</mo><msubsup><mi>K</mi><mn>0</mn><mo>*</mo></msubsup><mo>(</mo><mn>1430</mn><mo>)</mo><mi>h</mi><mo>→</mo><mi>K</mi><msup><mi>η</mi><mo>′</mo></msup><mi>h</mi></math> decays are predicted to be on the order of <math><msup><mn>10</mn><mrow><mo>−</mo><mn>8</mn></mrow></msup></math> to <math><msup><mn>10</mn><mrow><mo>−</mo><mn>5</mn></mrow></msup></math>, which are non-negligible for the corresponding three-body <math><mi>B</mi></math> decays. Since the <math><mrow><mi>K</mi><mi>η</mi></mrow></math> system is almost decoupled from the even-spin strange mesons under flavor SU(3) symmetry, those quasi-two-body <math><mi>B</mi></math> decays with subprocess <math><msubsup><mi>K</mi><mn>0</mn><mo>*</mo></msubsup><mo>(</mo><mn>1430</mn><mo>)</mo><mo>→</mo><mi>K</mi><mi>η</mi></math> shall have quite small branching ratios and are not taken into account in this work. We also estimate that the branching fraction for <math><msubsup><mi>K</mi><mn>0</mn><mo>*</mo></msubsup><mo>(</mo><mn>1430</mn><mo>)</mo><mo>→</mo><mi>K</mi><msup><mi>η</mi><mo>′</mo></msup></math> is about one fifth of that for <math><msubsup><mi>K</mi><mn>0</mn><mo>*</mo></msubsup><mo>(</mo><mn>1430</mn><mo>)</mo><mo>→</mo><mi>K</mi><mi>π</mi></math>. The predictions for the relevant decays are expected to be tested by the LHCb and Belle-II experiments in the future.

Contributions of the subprocess <math><msubsup><mi>K</mi><mn>0</mn><mo>*</mo></msubsup><mo>(</mo><mn>1430</mn><mo>)</mo><mo>→</mo><mi>K</mi><msup><mi>η</mi><mo>′</mo></msup></math> in the charmless three-body <math><mi>B</mi></math> meson decays

The decays   <math> <mi>B</mi> <mo>→</mo> <msup> <mover> <mi>D</mi> <mo>¯</mo> </mover> <mfenced> <mo>∗</mo> </mfenced> </msup> <mi>ωπ</mi> </math>  $$ B\to {\overline{D}}^{\left(\ast \right)}\omega \pi $$  are very important for the investigation of ρ excitations and the test of factorization hypothesis for B meson decays. The   <math> <msup> <mi>B</mi> <mo>+</mo> </msup> <mo>→</mo> <msup> <mover> <mi>D</mi> <mo>¯</mo> </mover> <mrow> <mfenced> <mo>∗</mo> </mfenced> <mn>0</mn> </mrow> </msup> <mi>ω</mi> <msup> <mi>π</mi> <mo>+</mo> </msup> </math>  $$ {B}^{+}\to {\overline{D}}^{\left(\ast \right)0}\omega {\pi}^{+} $$  and B 0 → D (*)−  ωπ + have been measured by different collaborations but without any predictions for their observables on theoretical side. In this work, we study the contributions of ρ(770, 1450) → ωπ for the cascade decays   <math> <msup> <mi>B</mi> <mo>+</mo> </msup> <mo>→</mo> <msup> <mover> <mi>D</mi> <mo>¯</mo> </mover> <mrow> <mfenced> <mo>∗</mo> </mfenced> <mn>0</mn> </mrow> </msup> <msup> <mi>ρ</mi> <mo>+</mo> </msup> <mo>→</mo> <msup> <mover> <mi>D</mi> <mo>¯</mo> </mover> <mrow> <mfenced> <mo>∗</mo> </mfenced> <mn>0</mn> </mrow> </msup> <mi>ω</mi> <msup> <mi>π</mi> <mo>+</mo> </msup> </math>  $$ {B}^{+}\to {\overline{D}}^{\left(\ast \right)0}{\rho}^{+}\to {\overline{D}}^{\left(\ast \right)0}\omega {\pi}^{+} $$ , B 0 → D (*)−  ρ + → D (*)−  ωπ + and   <math> <msubsup> <mi>B</mi> <mi>s</mi> <mn>0</mn> </msubsup> <mo>→</mo> <msubsup> <mi>D</mi> <mi>s</mi> <mrow> <mfenced> <mo>∗</mo> </mfenced> <mo>−</mo> </mrow> </msubsup> <msup> <mi>ρ</mi> <mo>+</mo> </msup> <mo>→</mo> <msup> <mi>D</mi> <mrow> <mfenced> <mo>∗</mo> </mfenced> <mo>−</mo> </mrow> </msup> <mi>ω</mi> <msup> <mi>π</mi> <mo>+</mo> </msup> </math>  $$ {B}_s^0\to {D}_s^{\left(\ast \right)-}{\rho}^{+}\to {D}^{\left(\ast \right)-}\omega {\pi}^{+} $$ . We introduce ρ(770, 1450) → ωπ subprocesses into the distribution amplitudes for ωπ system via the vector form factor F  ωπ (s) and then predict the branching fractions for the first time for concerned quasi-two-body decays with ρ(770, 1450) → ωπ, as well as the corresponding longitudinal polarization fractions Γ L  /Γ for the cases with the vector   <math> <msup> <mover> <mi>D</mi> <mo>¯</mo> </mover> <mrow> <mo>∗</mo> <mn>0</mn> </mrow> </msup> </math>  $$ {\overline{D}}^{\ast 0} $$  or   <math> <msubsup> <mi>D</mi> <mfenced> <mi>s</mi> </mfenced> <mrow> <mo>∗</mo> <mo>−</mo> </mrow> </msubsup> </math>  $$ {D}_{(s)}^{\ast -} $$  in their final states. The branching fractions of these quasi-two-body decays are predicted at the order of 10 −3, which can be detected at the LHCb and Belle-II experiments. The predictions for the decays B 0 → D *− ρ(770)+ → D *−  ωπ + and B 0 → D *−  ρ(1450)+ → D *−  ωπ + agree well with the measurements from Belle Collaboration. In order to avoid the pollution from annihilation Feynman diagrams, we recommend to take the   <math> <msubsup> <mi>B</mi> <mi>s</mi> <mn>0</mn> </msubsup> <mo>→</mo> <msubsup> <mi>D</mi> <mi>s</mi> <mrow> <mo>∗</mo> <mo>−</mo> </mrow> </msubsup> <mi>ρ</mi> <msup> <mfenced> <mn>770</mn> <mn>1450</mn> </mfenced> <mo>+</mo> </msup> </math>  $$ {B}_s^0\to {D}_s^{\ast -}\rho {\left(770,1450\right)}^{+} $$  decays, which have only emission diagrams at quark level, to test the factorization hypothesis for B decays.

Yu-Shan Ren

The ρ(770, 1450) → ωπ contributions for three-body decays   <math> <mi>B</mi> <mo>→</mo> <msup> <mover> <mi>D</mi> <mo>¯</mo> </mover> <mfenced> <mo>∗</mo> </mfenced> </msup> <mi>ωπ</mi> </math>  $$ B\to {\overline{D}}^{\left(\ast \right)}\omega \pi $$

We use artificial intelligence (AI) to learn and infer the physics of higher order gravitational wave modes of quasi-circular, spinning, non precessing binary black hole mergers. We trained AI models using 14 million waveforms, produced with the surrogate model NRHybSur3dq8, that include modes up to <math><mi>ℓ</mi><mo>≤</mo><mn>4</mn></math> and <math><mo>(</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>)</mo></math>, except for <math><mo>(</mo><mn>4</mn><mo>,</mo><mn>0</mn><mo>)</mo></math> and <math><mo>(</mo><mn>4</mn><mo>,</mo><mn>1</mn><mo>)</mo></math>, that describe binaries with mass-ratios <math><mi>q</mi><mo>≤</mo><mn>8</mn></math>, individual spins <math><msubsup><mrow><mi>s</mi></mrow><mrow><mo>{</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>}</mo></mrow><mrow><mi>z</mi></mrow></msubsup><mo>∈</mo><mo>[</mo><mo>−</mo><mn>0.8</mn><mo>,</mo><mn>0.8</mn><mo>]</mo></math>, and inclination angle <math><mi>θ</mi><mo>∈</mo><mo>[</mo><mn>0</mn><mo>,</mo><mi>π</mi><mo>]</mo></math>. Our probabilistic AI surrogates can accurately constrain the mass-ratio, individual spins, effective spin, and inclination angle of numerical relativity waveforms that describe such signal manifold. We compared the predictions of our AI models with Gaussian process regression, random forest, k-nearest neighbors, and linear regression, and with traditional Bayesian inference methods through the PyCBC Inference toolkit, finding that AI outperforms all these approaches in terms of accuracy, and are between three to four orders of magnitude faster than traditional Bayesian inference methods. Our AI surrogates were trained within 3.4 hours using distributed training on 1,536 NVIDIA V100 GPUs in the Summit supercomputer.

Asad Khan

E.A. Huerta

India

Prayush Kumar

AI and extreme scale computing to learn and infer the physics of higher order gravitational wave modes of quasi-circular, spinning, non-precessing black hole mergers

The contributions for the kaon pair from the intermediate states   $ \rho(1450)^+ $   and   $ \rho(1450)^+ $   in the decays   $ \rho(1450)^+ $  ,   $ \rho(1450)^+ $  , and   $ \rho(1450)^+ $   are analyzed within the perturbative QCD factorization approach. The decay amplitudes for all concerned decays in this work are dominated by the factorizable Feynman diagrams with the emission of the kaon pair, and the charged ρ mesons should be of great importance in the   $ \rho(1450)^+ $   channel of the related three-body B decays. Moreover, these quasi-two-body decays are CKM-favored, and the relevant branching ratios are predicted to be in the order of   $ \rho(1450)^+ $  , which have the potential to be measured by experiments. It is also shown that the contributions of the subprocesses   $ \rho(1450)^+ $   for the three-body B meson decays are considerable according to the total three-body branching fractions presented by Belle. Therefore, the decays   $ \rho(1450)^+ $  ,   $ \rho(1450)^+ $  , and   $ \rho(1450)^+ $   can be employed to study the properties of   $ \rho(1450)^+ $   and   $ \rho(1450)^+ $   in the LHCb and Belle-II experiments.

Resonances (1450) And (1700) In → Decays  

We propose to study the multiparticle configurations of isovector scalar mesons, <math><mrow><msub><mrow><mi>a</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>(</mo><mn>980</mn><mo>)</mo></mrow></math> and <math><mrow><msub><mrow><mi>a</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>(</mo><mn>1450</mn><mo>)</mo></mrow></math>, in the charmless three-body <math><mi>B</mi></math> decays by considering the width effects. Two scenarios of <math><msub><mi>a</mi><mn>0</mn></msub></math> configurations are assumed in which the first one takes <math><msub><mi>a</mi><mn>0</mn></msub><mo>(</mo><mn>980</mn><mo>)</mo></math> as the lowest-lying <math><mi>q</mi><mover><mi>q</mi><mo>¯</mo></mover></math> state and <math><msub><mi>a</mi><mn>0</mn></msub><mo>(</mo><mn>1450</mn><mo>)</mo></math> as the first radial excited state, the second one takes <math><msub><mi>a</mi><mn>0</mn></msub><mo>(</mo><mn>1450</mn><mo>)</mo></math> as the lowest-lying <math><mi>q</mi><mover><mi>q</mi><mo>¯</mo></mover></math> state and <math><msub><mi>a</mi><mn>0</mn></msub><mo>(</mo><mn>1950</mn><mo>)</mo></math> as the first radial excited state while <math><msub><mi>a</mi><mn>0</mn></msub><mo>(</mo><mn>980</mn><mo>)</mo></math> is not a <math><mi>q</mi><mover><mi>q</mi><mo>¯</mo></mover></math> state. Within these two scenarios, we do the perturbative QCD (PQCD) calculation for the quasi-two-body <math><mrow><mi>B</mi><mo>→</mo><msub><mrow><mi>a</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>[</mo><mo>→</mo><mi>K</mi><mover><mrow><mi>K</mi></mrow><mrow><mo>¯</mo></mrow></mover><mo>/</mo><mi>π</mi><mi>η</mi><mo>]</mo><mi>h</mi></mrow></math> decays and extract the corresponding branching fractions of two-body <math><mi>B</mi><mo>→</mo><msub><mi>a</mi><mn>0</mn></msub><mi>h</mi></math> decays under the narrow width approximation. Our predictions show that the first scenario of the <math><msub><mi>a</mi><mn>0</mn></msub><mo>(</mo><mn>980</mn><mo>)</mo></math> configuration cannot be excluded by the available measurements in <math><mi>B</mi></math> decays, and the contributions from <math><msub><mi>a</mi><mn>0</mn></msub><mo>(</mo><mn>1450</mn><mo>)</mo></math> to the branching fractions in most channels are comparable in the first and second scenarios. Several channels are suggested for the forthcoming experimental measurements to reveal the multiparticle configurations of <math><msub><mi>a</mi><mn>0</mn></msub></math>, such as the channel <math><mrow><msup><mrow><mi>B</mi></mrow><mrow><mn>0</mn></mrow></msup><mo>→</mo><msubsup><mrow><mi>a</mi></mrow><mrow><mn>0</mn></mrow><mrow><mo>−</mo></mrow></msubsup><mo>(</mo><mn>980</mn><mo>)</mo><mo>[</mo><mo>→</mo><msup><mrow><mi>π</mi></mrow><mrow><mo>−</mo></mrow></msup><mi>η</mi><mo>]</mo><msup><mrow><mi>π</mi></mrow><mrow><mo>+</mo></mrow></msup></mrow></math> with the largest predicted branching fraction, the channels <math><mrow><msup><mrow><mi>B</mi></mrow><mrow><mn>0</mn></mrow></msup><mo>→</mo><msubsup><mrow><mi>a</mi></mrow><mrow><mn>0</mn></mrow><mrow><mo>±</mo></mrow></msubsup><mo>(</mo><mn>1450</mn><mo>)</mo><mo>[</mo><mo>→</mo><msup><mrow><mi>K</mi></mrow><mrow><mo>±</mo></mrow></msup><msup><mrow><mover><mrow><mi>K</mi></mrow><mrow><mo>¯</mo></mrow></mover></mrow><mrow><mn>0</mn></mrow></msup><mo>,</mo><msup><mrow><mi>π</mi></mrow><mrow><mo>±</mo></mrow></msup><mi>η</mi><mo>]</mo><msup><mrow><mi>π</mi></mrow><mrow><mo>∓</mo></mrow></msup></mrow></math> whose branching fractions obtained in the second scenario is about three times larger in magnitude than that obtained in the first scenario, and also the channels <math><mrow><msup><mrow><mi>B</mi></mrow><mrow><mo>+</mo></mrow></msup><mo>→</mo><msubsup><mrow><mi>a</mi></mrow><mrow><mn>0</mn></mrow><mrow><mo>+</mo></mrow></msubsup><mo>(</mo><mn>1950</mn><mo>)</mo><mo>[</mo><msup><mrow><mi>K</mi></mrow><mrow><mo>+</mo></mrow></msup><msup><mrow><mover><mrow><mi>K</mi></mrow><mrow><mo>¯</mo></mrow></mover></mrow><mrow><mn>0</mn></mrow></msup><mo>/</mo><msup><mrow><mi>π</mi></mrow><mrow><mo>+</mo></mrow></msup><mi>η</mi><mo>]</mo><msup><mrow><mi>K</mi></mrow><mrow><mn>0</mn></mrow></msup></mrow></math> whose branching fractions are linearly dependent on the partial width <math><mrow><msub><mrow><mi>Γ</mi></mrow><mrow><msub><mrow><mi>a</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>(</mo><mn>1950</mn><mo>)</mo><mo>→</mo><mi>K</mi><mi>K</mi><mo>/</mo><mi>π</mi><mi>η</mi></mrow></msub></mrow></math>.