The leptonic mixing parameters of high precision and the next-generation neutrino telescopes make it possible to test new physics in the flavor transition of the high-energy astrophysical neutrinos (HAN). We introduce a nonsymmetric matrix to modify the predictions of the standard flavor transition matrix. It is constructed with the mixing matrix in vacuum and that at the source of the HAN. The mismatch of the mixing matrices results in the new expectation of the flavor ratio of the HAN at Earth. It also leads to a secondary effect called the apparent P violation (APV). The quantitative analyses of the new effects are performed with a moderate setup of the parameters at the source of the HAN. The correlations between the mixing parameters and the new predictions are shown. From the correlations, the dominant parameters determining the new-physics effects are identified.
{"title":"The Nonsymmetric Flavor Transition Matrix and the Apparent P Violation","authors":"Shu-Jun Rong, Dingan Xu","doi":"10.1155/2022/6949022","DOIUrl":"https://doi.org/10.1155/2022/6949022","url":null,"abstract":"The leptonic mixing parameters of high precision and the next-generation neutrino telescopes make it possible to test new physics in the flavor transition of the high-energy astrophysical neutrinos (HAN). We introduce a nonsymmetric matrix to modify the predictions of the standard flavor transition matrix. It is constructed with the mixing matrix in vacuum and that at the source of the HAN. The mismatch of the mixing matrices results in the new expectation of the flavor ratio of the HAN at Earth. It also leads to a secondary effect called the apparent P violation (APV). The quantitative analyses of the new effects are performed with a moderate setup of the parameters at the source of the HAN. The correlations between the mixing parameters and the new predictions are shown. From the correlations, the dominant parameters determining the new-physics effects are identified.","PeriodicalId":7498,"journal":{"name":"Advances in High Energy Physics","volume":" ","pages":""},"PeriodicalIF":1.7,"publicationDate":"2021-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46865100","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We propose that the size of an operator evolved under holographic renormalization group flow shall grow linearly with the scale and interpret this behavior as a manifestation of the saturation of the chaos bound. To test this conjecture, we study the operator growth in two different toy models. The first one is a MERA-like tensor network built from a random unitary circuit with the operator size defined using the integrated out-of-time-ordered correlator (OTOC). The second model is an error-correcting code of perfect tensors, and the operator size is computed using the number of single-site physical operators that realize the logical operator. In both cases, we observe linear growth.
{"title":"Growth of a Renormalized Operator as a Probe of Chaos","authors":"Xing Huang, Binchao Zhang","doi":"10.1155/2022/9216427","DOIUrl":"https://doi.org/10.1155/2022/9216427","url":null,"abstract":"We propose that the size of an operator evolved under holographic renormalization group flow shall grow linearly with the scale and interpret this behavior as a manifestation of the saturation of the chaos bound. To test this conjecture, we study the operator growth in two different toy models. The first one is a MERA-like tensor network built from a random unitary circuit with the operator size defined using the integrated out-of-time-ordered correlator (OTOC). The second model is an error-correcting code of perfect tensors, and the operator size is computed using the number of single-site physical operators that realize the logical operator. In both cases, we observe linear growth.","PeriodicalId":7498,"journal":{"name":"Advances in High Energy Physics","volume":" ","pages":""},"PeriodicalIF":1.7,"publicationDate":"2021-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44475306","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
R. Luz, G. Petronilo, Ademir de Santana, C. Costa, R. Amorim, R. Paiva
In this paper, we study within the structure of Symplectic Quantum Mechanics a bidimensional nonrelativistic strong interaction system which represent the bound state of heavy quark-antiquark, where we consider a Cornell potential which consists of Coulomb-type plus linear potentials. First, we solve the Schrödinger equation in the phase space with the linear potential. The solution (ground state) is obtained and analyzed by means of the Wigner function related to Airy function for the c c ¯ meson. In the second case, to treat the Schrödinger-like equation in the phase space, a procedure based on the Bohlin transformation is presented and applied to the Cornell potential. In this case, the system is separated into two parts, one analogous to the oscillator and the other we treat using perturbation method. Then, we quantized the Hamiltonian with the aid of stars operators in the phase space representation so that we can determine through the algebraic method the eigenfunctions of the undisturbed Hamiltonian (oscillator solution), and the other part of the Hamiltonian was the perturbation method. The eigenfunctions found (undisturbed plus disturbed) are associated with the Wigner function via Weyl product using the representation theory of Galilei group in the phase space. The Wigner function is analyzed, and the nonclassicality of ground state and first excited state is studied by the nonclassicality indicator or negativity parameter of the Wigner function for this system. In some aspects, we observe that the Wigner function offers an easier way to visualize the nonclassic nature of meson system than the wavefunction does phase space.
{"title":"Quark-Antiquark Effective Potential in Symplectic Quantum Mechanics","authors":"R. Luz, G. Petronilo, Ademir de Santana, C. Costa, R. Amorim, R. Paiva","doi":"10.1155/2022/3409776","DOIUrl":"https://doi.org/10.1155/2022/3409776","url":null,"abstract":"In this paper, we study within the structure of Symplectic Quantum Mechanics a bidimensional nonrelativistic strong interaction system which represent the bound state of heavy quark-antiquark, where we consider a Cornell potential which consists of Coulomb-type plus linear potentials. First, we solve the Schrödinger equation in the phase space with the linear potential. The solution (ground state) is obtained and analyzed by means of the Wigner function related to Airy function for the \u0000 \u0000 c\u0000 \u0000 \u0000 c\u0000 \u0000 \u0000 ¯\u0000 \u0000 \u0000 \u0000 meson. In the second case, to treat the Schrödinger-like equation in the phase space, a procedure based on the Bohlin transformation is presented and applied to the Cornell potential. In this case, the system is separated into two parts, one analogous to the oscillator and the other we treat using perturbation method. Then, we quantized the Hamiltonian with the aid of stars operators in the phase space representation so that we can determine through the algebraic method the eigenfunctions of the undisturbed Hamiltonian (oscillator solution), and the other part of the Hamiltonian was the perturbation method. The eigenfunctions found (undisturbed plus disturbed) are associated with the Wigner function via Weyl product using the representation theory of Galilei group in the phase space. The Wigner function is analyzed, and the nonclassicality of ground state and first excited state is studied by the nonclassicality indicator or negativity parameter of the Wigner function for this system. In some aspects, we observe that the Wigner function offers an easier way to visualize the nonclassic nature of meson system than the wavefunction does phase space.","PeriodicalId":7498,"journal":{"name":"Advances in High Energy Physics","volume":" ","pages":""},"PeriodicalIF":1.7,"publicationDate":"2021-10-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42307100","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In the present study, we consider baryons as three-body bound systems according to the hypercentral constituent quark model in configuration space and solve the three-body Klein-Gordon equation. Then, we analyze perturbative spin-dependent and isospin-dependent interaction effects. To find the analytical solution, we use screened potential and calculate the eigenfunctions and eigenvalues of some baryons. We consider exclusive semileptonic decays of bottom and charm baryons and apply the differential decay width with the Isgur-Wise function and arrive at the rates for some semileptonic baryon decays. The results prove more enhanced compared to recent works and comply well with the experimental data.
{"title":"Investigation of Baryons in the Hypercentral Quark Model","authors":"N. Tazimi, P. Sadeghi Alavijeh","doi":"10.1155/2021/7713697","DOIUrl":"https://doi.org/10.1155/2021/7713697","url":null,"abstract":"In the present study, we consider baryons as three-body bound systems according to the hypercentral constituent quark model in configuration space and solve the three-body Klein-Gordon equation. Then, we analyze perturbative spin-dependent and isospin-dependent interaction effects. To find the analytical solution, we use screened potential and calculate the eigenfunctions and eigenvalues of some baryons. We consider exclusive semileptonic decays of bottom and charm baryons and apply the differential decay width with the Isgur-Wise function and arrive at the rates for some semileptonic baryon decays. The results prove more enhanced compared to recent works and comply well with the experimental data.","PeriodicalId":7498,"journal":{"name":"Advances in High Energy Physics","volume":"1 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2021-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64766273","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
I. Okon, C. Onate, E. Omugbe, U. Okorie, A. Antia, M. Onyeaju, Wen-Li Chen, J. Araújo
In this work, we apply the parametric Nikiforov-Uvarov method to obtain eigensolutions and total normalized wave function of Schrödinger equation expressed in terms of Jacobi polynomial using Coulomb plus Screened Exponential Hyperbolic Potential (CPSEHP), where we obtained the probability density plots for the proposed potential for various orbital angular quantum number, as well as some special cases (Hellmann and Yukawa potential). The proposed potential is best suitable for smaller values of the screening parameter α . The resulting energy eigenvalue is presented in a close form and extended to study thermal properties and superstatistics expressed in terms of partition function Z and other thermodynamic properties such as vibrational mean energy U , vibrational specific heat capacity C , vibrational entropy S , and vibrational free energy F . Using the resulting energy equation and with the help of Matlab software, the numerical bound state solutions were obtained for various values of the screening parameter ( α ) as well as different expectation values via Hellmann-Feynman Theorem (HFT). The trend of the partition function and other thermodynamic properties obtained for both thermal properties and superstatistics were in excellent agreement with the existing literatures. Due to the analytical mathematical complexities, the superstatistics and thermal properties were evaluated using Mathematica 10.0 version software. The proposed potential model reduces to Hellmann potential, Yukawa potential, Screened Hyperbolic potential, and Coulomb potential as special cases.
{"title":"Approximate Solutions, Thermal Properties, and Superstatistics Solutions to Schrödinger Equation","authors":"I. Okon, C. Onate, E. Omugbe, U. Okorie, A. Antia, M. Onyeaju, Wen-Li Chen, J. Araújo","doi":"10.1155/2022/5178247","DOIUrl":"https://doi.org/10.1155/2022/5178247","url":null,"abstract":"In this work, we apply the parametric Nikiforov-Uvarov method to obtain eigensolutions and total normalized wave function of Schrödinger equation expressed in terms of Jacobi polynomial using Coulomb plus Screened Exponential Hyperbolic Potential (CPSEHP), where we obtained the probability density plots for the proposed potential for various orbital angular quantum number, as well as some special cases (Hellmann and Yukawa potential). The proposed potential is best suitable for smaller values of the screening parameter \u0000 \u0000 α\u0000 \u0000 . The resulting energy eigenvalue is presented in a close form and extended to study thermal properties and superstatistics expressed in terms of partition function \u0000 \u0000 \u0000 \u0000 Z\u0000 \u0000 \u0000 \u0000 and other thermodynamic properties such as vibrational mean energy \u0000 \u0000 \u0000 \u0000 U\u0000 \u0000 \u0000 \u0000 , vibrational specific heat capacity \u0000 \u0000 \u0000 \u0000 C\u0000 \u0000 \u0000 \u0000 , vibrational entropy \u0000 \u0000 \u0000 \u0000 S\u0000 \u0000 \u0000 \u0000 , and vibrational free energy \u0000 \u0000 \u0000 \u0000 F\u0000 \u0000 \u0000 \u0000 . Using the resulting energy equation and with the help of Matlab software, the numerical bound state solutions were obtained for various values of the screening parameter (\u0000 \u0000 α\u0000 \u0000 ) as well as different expectation values via Hellmann-Feynman Theorem (HFT). The trend of the partition function and other thermodynamic properties obtained for both thermal properties and superstatistics were in excellent agreement with the existing literatures. Due to the analytical mathematical complexities, the superstatistics and thermal properties were evaluated using Mathematica 10.0 version software. The proposed potential model reduces to Hellmann potential, Yukawa potential, Screened Hyperbolic potential, and Coulomb potential as special cases.","PeriodicalId":7498,"journal":{"name":"Advances in High Energy Physics","volume":" ","pages":""},"PeriodicalIF":1.7,"publicationDate":"2021-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41751167","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
<jats:p>One of the main objectives of almost all future (lepton) colliders is to measure the self-coupling of triple Higgs in the Standard Model. By elongating the Standard Model’s scalar sector, using incipient Higgs doublet along with a quadratic (Higgs) potential can reveal many incipient features of the model and the possibility of the emergence of additional Higgs self-couplings. The self-coupling of the Higgs boson helps in reconstructing the scalar potential. The main objective of this paper is to extract Higgs self-coupling by numerically analyzing several scattering processes governed by two Higgs doublet models (2HDM). These scattering processes include various possible combinations of final states in the triple Higgs sector. The determination of production cross-section of scattering processes is carried out using two different scenarios, one with and other without polarization of incoming beam, and is extended to a center of mass energy up to <jats:inline-formula> <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <msqrt> <mrow> <mi>s</mi> </mrow> </msqrt> <mo>=</mo> <mn>3</mn> <mtext>TeV</mtext> </math> </jats:inline-formula>. The computation is carried out in type-1 2HDM. Here, we consider the case of exact alignment limit (<jats:inline-formula> <math xmlns="http://www.w3.org/1998/Math/MathML" id="M2"> <msub> <mrow> <mi>s</mi> </mrow> <mrow> <mi>β</mi> <mi>α</mi> </mrow> </msub> </math> </jats:inline-formula>=1) and masses of extra Higgs states are equal, that is, <jats:inline-formula> <math xmlns="http://www.w3.org/1998/Math/MathML" id="M3"> <msub> <mrow> <mi>m</mi> </mrow> <mrow> <mi>H</mi> </mrow> </msub> <mo>=</mo> <msub> <mrow> <mi>m</mi> </mrow> <mrow> <msup> <mrow> <mi>H</mi> </mrow> <mrow> <mn>0</mn> </mrow> </m
几乎所有未来(轻子)对撞机的主要目标之一是测量标准模型中三重希格斯粒子的自耦合。通过延长标准模型的标量扇区，使用初始希格斯双重态和二次(希格斯)势可以揭示模型的许多初始特征以及出现额外希格斯自耦合的可能性。希格斯玻色子的自耦合有助于重建标量势。本文的主要目的是通过数值分析由两个希格斯双重态模型(2HDM)控制的几个散射过程来提取希格斯自耦合。这些散射过程包括三重希格斯扇区中最终态的各种可能组合。在入射光束有极化和无极化两种不同情况下，对散射过程的产生截面进行了确定，并将其扩展到质能中心高达s = 3 TeV。计算是在1型2HDM中进行的。这里，我们考虑精确对准极限(s β α =1)和额外希格斯态质量相等的情况，即:m H = m H0 = m A0 = m H± .这种选择使倾斜参数最小化。研究了每个过程最终状态的衰减，以估计在1 a b−1和3的综合光度下的事件数A b−1。
{"title":"Probing Triple Higgs Self-Coupling and Effect of Beam Polarization in Lepton Colliders","authors":"I. Ahmed, Ujala Nawaz, T. Khurshid, S. Qazi","doi":"10.1155/2022/9735729","DOIUrl":"https://doi.org/10.1155/2022/9735729","url":null,"abstract":"<jats:p>One of the main objectives of almost all future (lepton) colliders is to measure the self-coupling of triple Higgs in the Standard Model. By elongating the Standard Model’s scalar sector, using incipient Higgs doublet along with a quadratic (Higgs) potential can reveal many incipient features of the model and the possibility of the emergence of additional Higgs self-couplings. The self-coupling of the Higgs boson helps in reconstructing the scalar potential. The main objective of this paper is to extract Higgs self-coupling by numerically analyzing several scattering processes governed by two Higgs doublet models (2HDM). These scattering processes include various possible combinations of final states in the triple Higgs sector. The determination of production cross-section of scattering processes is carried out using two different scenarios, one with and other without polarization of incoming beam, and is extended to a center of mass energy up to <jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M1\">\u0000 <msqrt>\u0000 <mrow>\u0000 <mi>s</mi>\u0000 </mrow>\u0000 </msqrt>\u0000 <mo>=</mo>\u0000 <mn>3</mn>\u0000 <mtext>TeV</mtext>\u0000 </math>\u0000 </jats:inline-formula>. The computation is carried out in type-1 2HDM. Here, we consider the case of exact alignment limit (<jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M2\">\u0000 <msub>\u0000 <mrow>\u0000 <mi>s</mi>\u0000 </mrow>\u0000 <mrow>\u0000 <mi>β</mi>\u0000 <mi>α</mi>\u0000 </mrow>\u0000 </msub>\u0000 </math>\u0000 </jats:inline-formula>=1) and masses of extra Higgs states are equal, that is, <jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M3\">\u0000 <msub>\u0000 <mrow>\u0000 <mi>m</mi>\u0000 </mrow>\u0000 <mrow>\u0000 <mi>H</mi>\u0000 </mrow>\u0000 </msub>\u0000 <mo>=</mo>\u0000 <msub>\u0000 <mrow>\u0000 <mi>m</mi>\u0000 </mrow>\u0000 <mrow>\u0000 <msup>\u0000 <mrow>\u0000 <mi>H</mi>\u0000 </mrow>\u0000 <mrow>\u0000 <mn>0</mn>\u0000 </mrow>\u0000 </m","PeriodicalId":7498,"journal":{"name":"Advances in High Energy Physics","volume":" ","pages":""},"PeriodicalIF":1.7,"publicationDate":"2021-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46341391","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper, we review the current status of the phenomenological study of quarkonium production in high-energy collisions. After a brief introduction of several important models and effective field theories for quarkonium production, we discuss the comparisons between theoretical predictions and experimental measurements.
{"title":"A Short Theoretical Review of Charmonium Production","authors":"An-Ping Chen, Yanmei Ma, H. Zhang","doi":"10.1155/2022/7475923","DOIUrl":"https://doi.org/10.1155/2022/7475923","url":null,"abstract":"In this paper, we review the current status of the phenomenological study of quarkonium production in high-energy collisions. After a brief introduction of several important models and effective field theories for quarkonium production, we discuss the comparisons between theoretical predictions and experimental measurements.","PeriodicalId":7498,"journal":{"name":"Advances in High Energy Physics","volume":" ","pages":""},"PeriodicalIF":1.7,"publicationDate":"2021-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44941391","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
<jats:p>We investigate the exclusive semileptonic and rare <jats:inline-formula> <math xmlns="http://www.w3.org/1998/Math/MathML" id="M2"> <mi>D</mi> <mo>⟶</mo> <mi>π</mi> <mfenced open="(" close=")"> <mrow> <mi>K</mi> </mrow> </mfenced> </math> </jats:inline-formula> decays within the standard model together with the light-front quark model (LFQM) constrained by the variational principle for the QCD-motivated effective Hamiltonian. The form factors are obtained in the <jats:inline-formula> <math xmlns="http://www.w3.org/1998/Math/MathML" id="M3"> <msup> <mrow> <mi>q</mi> </mrow> <mrow> <mo>+</mo> </mrow> </msup> <mo>=</mo> <mn>0</mn> </math> </jats:inline-formula> frame and then analytically continue to the physical timelike region. Together with our recent analysis of the current-component independent form factors <jats:inline-formula> <math xmlns="http://www.w3.org/1998/Math/MathML" id="M4"> <msub> <mrow> <mi>f</mi> </mrow> <mrow> <mo>±</mo> </mrow> </msub> <mfenced open="(" close=")"> <mrow> <msup> <mrow> <mi>q</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msup> </mrow> </mfenced> </math> </jats:inline-formula> for the semileptonic decays, we present the current-component independent tensor form factor <jats:inline-formula> <math xmlns="http://www.w3.org/1998/Math/MathML" id="M5"> <msub> <mrow> <mi>f</mi> </mrow> <mrow> <mi>T</mi> </mrow> </msub> <mfenced open="(" close=")"> <mrow> <msup> <mrow>
我们研究了标准模型内的排他半子和稀有的D π K衰变，以及受变分原理约束的光前夸克模型(LFQM)。在q + = 0帧中获得形状因子，然后解析继续到物理类时区域。加上我们最近对电流分量无关形状因子f±q的分析2为半光子衰变;我们提出了电流分量无关张量形式因子ftq2为稀有衰变，使强子矩阵元素的完备集调节半光子和稀有D π K在LFQM中衰减。 张量形式因子ftq2是从两个独立的集合jt中得到的⊥，J t +−张量电流J T u v。就像我们最近对f−q的分析一样2 ,我们证明了ftq由两组不同的电流分量得到的2在q +的价区给出了相同的结果= 0框架，不涉及显式零模态和瞬时贡献。零模和瞬时模的含义
{"title":"Current-Component Independent Transition Form Factors for Semileptonic and Rare \u0000 D\u0000 ⟶\u0000 π\u0000 \u0000 \u0000 K\u0000 \u0000 \u0000 Decays in the Light-Front Quark Model","authors":"H. Choi","doi":"10.1155/2021/4277321","DOIUrl":"https://doi.org/10.1155/2021/4277321","url":null,"abstract":"<jats:p>We investigate the exclusive semileptonic and rare <jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M2\">\u0000 <mi>D</mi>\u0000 <mo>⟶</mo>\u0000 <mi>π</mi>\u0000 <mfenced open=\"(\" close=\")\">\u0000 <mrow>\u0000 <mi>K</mi>\u0000 </mrow>\u0000 </mfenced>\u0000 </math>\u0000 </jats:inline-formula> decays within the standard model together with the light-front quark model (LFQM) constrained by the variational principle for the QCD-motivated effective Hamiltonian. The form factors are obtained in the <jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M3\">\u0000 <msup>\u0000 <mrow>\u0000 <mi>q</mi>\u0000 </mrow>\u0000 <mrow>\u0000 <mo>+</mo>\u0000 </mrow>\u0000 </msup>\u0000 <mo>=</mo>\u0000 <mn>0</mn>\u0000 </math>\u0000 </jats:inline-formula> frame and then analytically continue to the physical timelike region. Together with our recent analysis of the current-component independent form factors <jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M4\">\u0000 <msub>\u0000 <mrow>\u0000 <mi>f</mi>\u0000 </mrow>\u0000 <mrow>\u0000 <mo>±</mo>\u0000 </mrow>\u0000 </msub>\u0000 <mfenced open=\"(\" close=\")\">\u0000 <mrow>\u0000 <msup>\u0000 <mrow>\u0000 <mi>q</mi>\u0000 </mrow>\u0000 <mrow>\u0000 <mn>2</mn>\u0000 </mrow>\u0000 </msup>\u0000 </mrow>\u0000 </mfenced>\u0000 </math>\u0000 </jats:inline-formula> for the semileptonic decays, we present the current-component independent tensor form factor <jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M5\">\u0000 <msub>\u0000 <mrow>\u0000 <mi>f</mi>\u0000 </mrow>\u0000 <mrow>\u0000 <mi>T</mi>\u0000 </mrow>\u0000 </msub>\u0000 <mfenced open=\"(\" close=\")\">\u0000 <mrow>\u0000 <msup>\u0000 <mrow>\u0000 ","PeriodicalId":7498,"journal":{"name":"Advances in High Energy Physics","volume":" ","pages":""},"PeriodicalIF":1.7,"publicationDate":"2021-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42769980","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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