Pub Date : 2020-12-11DOI: 10.1103/PhysRevD.103.095009
C. Degrande, Matteo Maltoni
Interferences are not positive-definite and therefore they can change sign over the phase space. If the contributions of the regions where the interference is positive and negative nearly cancel each other, interference effects are hard to measure. In this paper, we propose a method to quantify the ability of an observable to separate an interference positive and negative contributions and therefore to revive the interference effects in measurements. We apply this method to the anomalous gluon operator in the SMEFT for which the interference suppression is well-known. We show that we can get contraints on its coefficient, using the interference only, similar to those obtained by including the square of the new physics amplitude.
{"title":"Reviving the interference: Framework and proof-of-principle for the anomalous gluon self-interaction in the SMEFT","authors":"C. Degrande, Matteo Maltoni","doi":"10.1103/PhysRevD.103.095009","DOIUrl":"https://doi.org/10.1103/PhysRevD.103.095009","url":null,"abstract":"Interferences are not positive-definite and therefore they can change sign over the phase space. If the contributions of the regions where the interference is positive and negative nearly cancel each other, interference effects are hard to measure. In this paper, we propose a method to quantify the ability of an observable to separate an interference positive and negative contributions and therefore to revive the interference effects in measurements. We apply this method to the anomalous gluon operator in the SMEFT for which the interference suppression is well-known. We show that we can get contraints on its coefficient, using the interference only, similar to those obtained by including the square of the new physics amplitude.","PeriodicalId":8457,"journal":{"name":"arXiv: High Energy Physics - Phenomenology","volume":"66 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74139289","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We discuss cross sections for $nu_{tau}$ and ${overline nu}_{tau}$ production from the direct $D_s^{pm} to nu_{tau}/{overline nu}_{tau}$ and chain $D_s^{pm} to tau^+/tau^- to nu_{tau}/{overline nu}_{tau}$ decays in $p!+^{96}!mathrm{Mo}$ scattering with proton beam $E_{mathrm{lab}}$ = 400 GeV textit{i.e.} at $sqrt{s}_{NN}$ = 27.4 GeV. In our calculations we include $D_s^{pm}$ from charm fragmentation $c to D_s^{+}$ and $bar c to D_s^-$ as well as those from subleading fragmentation of strange quarks/antiquarks $s to D_s^-$ and $bar s to D_s^+$. The different contributions to $D_s^{pm}$ and $nu_{tau} / {overline nu}_{tau}$ production rates are shown explicitly. Estimates of a number of observed $nu_{tau} / overline{nu}_{tau}$ in the $nu_{tau} / overline{nu}_{tau} +^{208}!mathrm{Pb}$ reaction, with 2m long target are given.
我们讨论了在质子束$E_{mathrm{lab}}$ = 400 GeVtextit{即}$sqrt{s}_{NN}$ = 27.4 GeV的$p!+^{96}!mathrm{Mo}$散射下，直接$D_s^{pm} to nu_{tau}/{overline nu}_{tau}$和链$D_s^{pm} to tau^+/tau^- to nu_{tau}/{overline nu}_{tau}$衰变产生$nu_{tau}$和${overline nu}_{tau}$的截面。在我们的计算中，我们包括了符号化碎片$c to D_s^{+}$和$bar c to D_s^-$的$D_s^{pm}$，以及奇异夸克/反夸克子碎片$s to D_s^-$和$bar s to D_s^+$的。对$D_s^{pm}$和$nu_{tau} / {overline nu}_{tau}$生产率的不同贡献被明确地显示出来。给出了在目标长度为2米的$nu_{tau} / overline{nu}_{tau} +^{208}!mathrm{Pb}$反应中所观察到的$nu_{tau} / overline{nu}_{tau}$数的估计。
{"title":"Production of $nu_{tau}$ neutrinos and ${overline nu}_{tau}$ antineutrinos - elaborate calculation for a fixed target experiment SHiP","authors":"R. Maciuła","doi":"10.22323/1.390.0161","DOIUrl":"https://doi.org/10.22323/1.390.0161","url":null,"abstract":"We discuss cross sections for $nu_{tau}$ and ${overline nu}_{tau}$ production from the direct $D_s^{pm} to nu_{tau}/{overline nu}_{tau}$ and chain $D_s^{pm} to tau^+/tau^- to nu_{tau}/{overline nu}_{tau}$ decays in $p!+^{96}!mathrm{Mo}$ scattering with proton beam $E_{mathrm{lab}}$ = 400 GeV textit{i.e.} at $sqrt{s}_{NN}$ = 27.4 GeV. In our calculations we include $D_s^{pm}$ from charm fragmentation $c to D_s^{+}$ and $bar c to D_s^-$ as well as those from subleading fragmentation of strange quarks/antiquarks $s to D_s^-$ and $bar s to D_s^+$. The different contributions to $D_s^{pm}$ and $nu_{tau} / {overline nu}_{tau}$ production rates are shown explicitly. Estimates of a number of observed $nu_{tau} / overline{nu}_{tau}$ in the $nu_{tau} / overline{nu}_{tau} +^{208}!mathrm{Pb}$ reaction, with 2m long target are given.","PeriodicalId":8457,"journal":{"name":"arXiv: High Energy Physics - Phenomenology","volume":"20 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89207245","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-12-11DOI: 10.1103/PhysRevD.104.014025
C. P. Hofmann
We explore the low-energy regime of quantum chromodynamics subjected to an external magnetic field by deriving the two-loop representations for the entropy density and the magnetization within chiral perturbation theory (CHPT). At fixed temperature, the entropy density drops when the magnetic field becomes stronger. The magnetization induced at finite temperature is negative in the entire parameter region accessible by CHPT. We also point out that the enhancement of the finite-temperature part in the quark condensate is correlated with the decrease of the entropy density.
{"title":"Thermomagnetic properties of QCD","authors":"C. P. Hofmann","doi":"10.1103/PhysRevD.104.014025","DOIUrl":"https://doi.org/10.1103/PhysRevD.104.014025","url":null,"abstract":"We explore the low-energy regime of quantum chromodynamics subjected to an external magnetic field by deriving the two-loop representations for the entropy density and the magnetization within chiral perturbation theory (CHPT). At fixed temperature, the entropy density drops when the magnetic field becomes stronger. The magnetization induced at finite temperature is negative in the entire parameter region accessible by CHPT. We also point out that the enhancement of the finite-temperature part in the quark condensate is correlated with the decrease of the entropy density.","PeriodicalId":8457,"journal":{"name":"arXiv: High Energy Physics - Phenomenology","volume":"9 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80715421","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Dipole interactions encode a rich variety of phenomena, such as radiative decays and electric dipole moments in both quark and lepton sectors, which probe physics beyond the Standard Model up to very high energy scales; due to renormalization, non-dipole operators mix into dipole ones, thus possibly generating observable effects that can be investigated by those same phenomena. I consider four-fermion contact interactions for which the leading order mixing into dipoles happens at two-loops (i.e., when one-loop effects vanish) and for which this mixing can avoid small Yukawa couplings, and then explore the phenomenological consequences for flavour and $ mathbf{CP} $ violation coming from New Physics.
{"title":"Using dipole processes to constrain the flavour of four-fermion effective interactions","authors":"L. V. Silva, S. Jager, K. Leslie","doi":"10.22323/1.390.0434","DOIUrl":"https://doi.org/10.22323/1.390.0434","url":null,"abstract":"Dipole interactions encode a rich variety of phenomena, such as radiative decays and electric dipole moments in both quark and lepton sectors, which probe physics beyond the Standard Model up to very high energy scales; due to renormalization, non-dipole operators mix into dipole ones, thus possibly generating observable effects that can be investigated by those same phenomena. I consider four-fermion contact interactions for which the leading order mixing into dipoles happens at two-loops (i.e., when one-loop effects vanish) and for which this mixing can avoid small Yukawa couplings, and then explore the phenomenological consequences for flavour and $ mathbf{CP} $ violation coming from New Physics.","PeriodicalId":8457,"journal":{"name":"arXiv: High Energy Physics - Phenomenology","volume":"24 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74476164","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-12-10DOI: 10.1103/PHYSREVD.103.034025
L. Moriggi, G. M. Peccini, M. Machado
The transverse momentum spectra of hadrons is calculated from the unintegrated gluon distribution (UGD) within the $k_T$-factorization framework at small $x$. Starting from $pp$ collisions, the modification caused by the nuclear medium is incorporated in the UGD at high energies, which is related to the nuclear shadowing phenomenon. Moreover, we consider that particle production from minijet decaying is not enough to explain the $p_T$ spectra in $AA$ collisions due to collective phenomena that take place after the hard collision. The Boltzmann-Gibbs Blast Wave (BGBW) distribution is utilized in order to evaluate the distribution of particle production in equilibrium. Data from ALICE collaboration for $PbPb$ collisions at $sqrt{s}=2.76$ TeV are analyzed and the nuclear modification factor for pion production is computed.
{"title":"Role of nuclear gluon distribution on particle production in heavy ion collisions","authors":"L. Moriggi, G. M. Peccini, M. Machado","doi":"10.1103/PHYSREVD.103.034025","DOIUrl":"https://doi.org/10.1103/PHYSREVD.103.034025","url":null,"abstract":"The transverse momentum spectra of hadrons is calculated from the unintegrated gluon distribution (UGD) within the $k_T$-factorization framework at small $x$. Starting from $pp$ collisions, the modification caused by the nuclear medium is incorporated in the UGD at high energies, which is related to the nuclear shadowing phenomenon. Moreover, we consider that particle production from minijet decaying is not enough to explain the $p_T$ spectra in $AA$ collisions due to collective phenomena that take place after the hard collision. The Boltzmann-Gibbs Blast Wave (BGBW) distribution is utilized in order to evaluate the distribution of particle production in equilibrium. Data from ALICE collaboration for $PbPb$ collisions at $sqrt{s}=2.76$ TeV are analyzed and the nuclear modification factor for pion production is computed.","PeriodicalId":8457,"journal":{"name":"arXiv: High Energy Physics - Phenomenology","volume":"24 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81372186","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A good understanding of the transverse momentum $(p_T)$ spectra is pivotal in the study of QCD matter created during the heavy-ion collision. Considering the difference in the underlying particle production mechanism, $p_T$ spectra can be divided into two distinct regions. Low-$p_T$ region corresponds to particle produced in soft-processes whereas particles produced in hard processes dominate the high-$p_T$ regime of the spectra. We will discuss a unified formalism to explain both low as well as high-$p_T$ region of the transverse momentum spectra in a consistent manner. This unified formalism is based on the generalisation of non-extensive statistical mechanics using the Pearson distribution. This generalised formalism also gives a strong insight into the study of elliptic flow in heavy-ion collision.
{"title":"A generalized approach to study low as well as high pT regime of transverse momentum spectra","authors":"Rohit Gupta, S. Jena","doi":"10.22323/1.390.0579","DOIUrl":"https://doi.org/10.22323/1.390.0579","url":null,"abstract":"A good understanding of the transverse momentum $(p_T)$ spectra is pivotal in the study of QCD matter created during the heavy-ion collision. Considering the difference in the underlying particle production mechanism, $p_T$ spectra can be divided into two distinct regions. Low-$p_T$ region corresponds to particle produced in soft-processes whereas particles produced in hard processes dominate the high-$p_T$ regime of the spectra. We will discuss a unified formalism to explain both low as well as high-$p_T$ region of the transverse momentum spectra in a consistent manner. This unified formalism is based on the generalisation of non-extensive statistical mechanics using the Pearson distribution. This generalised formalism also gives a strong insight into the study of elliptic flow in heavy-ion collision.","PeriodicalId":8457,"journal":{"name":"arXiv: High Energy Physics - Phenomenology","volume":"85 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89613921","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-12-09DOI: 10.1016/j.physletb.2021.136329
D. Gonccalves, T. Han, Sze Ching Iris Leung, Han Qin
{"title":"Off-shell Higgs Couplings in $H^*to ZZto ellellnunu$","authors":"D. Gonccalves, T. Han, Sze Ching Iris Leung, Han Qin","doi":"10.1016/j.physletb.2021.136329","DOIUrl":"https://doi.org/10.1016/j.physletb.2021.136329","url":null,"abstract":"","PeriodicalId":8457,"journal":{"name":"arXiv: High Energy Physics - Phenomenology","volume":"210 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73751961","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-12-09DOI: 10.1142/9789811238406_0020
E. Beveren, G. Rupp
The low and approximately equal masses of the scalar mesons $f_0(980)$ and $a_0(980)$, as well as their relatively small decay widths, are impossible to understand in terms of standard $P$-wave quark-antiquark states. Here, these mesons are studied in a unitarised quark-meson model, together with the other light isoscalar scalar $f_0(500)$, as members of a complete scalar nonet below about 1 GeV. They are shown to be dynamical states generated by a combination of quark-confinement and strong-decay interactions, resulting in a large breaking of $SU(3)_{rm flavour}$ symmetry. This is illustrated with several pole trajectories in the complex-energy plane as a function of the model's decay coupling constant. Also, experimental evidence is presented of a still much lighter scalar boson called $E(38)$, which may correspond to a novel kind of mesons predicted by V. N. Gribov, as an observable manifestation of a condensate of light quarks.
标量介子$f_0(980)$和$a_0(980)$的低质量和近似相等的质量，以及它们相对较小的衰变宽度，是不可能用标准的$P$波夸克-反夸克态来理解的。在这里，这些介子在一个统一的夸克-介子模型中被研究，与其他光等标量标量$f_0(500)$一起，作为小于1 GeV的完整标量nonet的成员。它们被证明是由夸克约束和强衰变相互作用的组合产生的动态状态，导致$SU(3)_{rm味}$对称性的大破坏。这是用复能量平面上的几个极点轨迹作为模型衰减耦合常数的函数来说明的。此外，实验证据还显示了一种更轻的标量玻色子E(38)，它可能对应于V. N. Gribov预测的一种新型介子，作为轻夸克凝聚的可观测表现。
{"title":"UNDERSTANDING THE f0(980) AND a0(980) MASSES AS WELL AS THEIR WIDTHS","authors":"E. Beveren, G. Rupp","doi":"10.1142/9789811238406_0020","DOIUrl":"https://doi.org/10.1142/9789811238406_0020","url":null,"abstract":"The low and approximately equal masses of the scalar mesons $f_0(980)$ and $a_0(980)$, as well as their relatively small decay widths, are impossible to understand in terms of standard $P$-wave quark-antiquark states. Here, these mesons are studied in a unitarised quark-meson model, together with the other light isoscalar scalar $f_0(500)$, as members of a complete scalar nonet below about 1 GeV. They are shown to be dynamical states generated by a combination of quark-confinement and strong-decay interactions, resulting in a large breaking of $SU(3)_{rm flavour}$ symmetry. This is illustrated with several pole trajectories in the complex-energy plane as a function of the model's decay coupling constant. Also, experimental evidence is presented of a still much lighter scalar boson called $E(38)$, which may correspond to a novel kind of mesons predicted by V. N. Gribov, as an observable manifestation of a condensate of light quarks.","PeriodicalId":8457,"journal":{"name":"arXiv: High Energy Physics - Phenomenology","volume":"18 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73904316","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-12-09DOI: 10.1103/PHYSREVD.103.054027
M. Chernodub
We discuss the effects of rotation on confining properties of gauge theories focusing on compact electrodynamics in two spatial dimensions as an analytically tractable model. We show that at finite temperature, the rotation leads to a deconfining transition starting from a certain distance from the rotation axis. A uniformly rotating confining system possesses, in addition to the usual confinement and deconfinement phases, a mixed inhomogeneous phase which hosts spatially separated confinement and deconfinement regions. The phase diagram thus has two different deconfining temperatures. The first deconfining temperature can be made arbitrarily low by sufficiently rapid rotation while the second deconfining temperature is largely unaffected by the rotation. Implications of our results for the phase diagram of QCD are presented. We point out that uniformly rotating quark-gluon plasma should therefore experience an inverse hadronization effect when the hadronization starts from the core of the rotating plasma rather than from its boundary.
{"title":"Inhomogeneous confining-deconfining phases in rotating plasmas","authors":"M. Chernodub","doi":"10.1103/PHYSREVD.103.054027","DOIUrl":"https://doi.org/10.1103/PHYSREVD.103.054027","url":null,"abstract":"We discuss the effects of rotation on confining properties of gauge theories focusing on compact electrodynamics in two spatial dimensions as an analytically tractable model. We show that at finite temperature, the rotation leads to a deconfining transition starting from a certain distance from the rotation axis. A uniformly rotating confining system possesses, in addition to the usual confinement and deconfinement phases, a mixed inhomogeneous phase which hosts spatially separated confinement and deconfinement regions. The phase diagram thus has two different deconfining temperatures. The first deconfining temperature can be made arbitrarily low by sufficiently rapid rotation while the second deconfining temperature is largely unaffected by the rotation. Implications of our results for the phase diagram of QCD are presented. We point out that uniformly rotating quark-gluon plasma should therefore experience an inverse hadronization effect when the hadronization starts from the core of the rotating plasma rather than from its boundary.","PeriodicalId":8457,"journal":{"name":"arXiv: High Energy Physics - Phenomenology","volume":"39 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88470251","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-12-09DOI: 10.1103/physrevd.103.014002
W. de Paula, E. Ydrefors, J. H. Alvarenga Nogueira, T. Frederico, G. Salmè
A dynamical model is applied to the study of the pion valence light-front wave function, obtained from the actual solution of the Bethe-Salpeter equation in Minkowski space, resorting to the Nakanishi integral representation. The kernel is simplified to a ladder approximation containing constituent quarks, an effective massive gluon exchange, and the scale of the extended quark-gluon interaction vertex. These three input parameters carry the infrared scale {Lambda}QCD and are fine-tuned to reproduce the pion weak decay constant, within a range suggested by lattice calculations. Besides f{pi}, we present and discuss other interesting quantities on the null-plane, like: (i) the valence probability, (ii) the dynamical functions depending upon the longitudinal or the transverse components of the light-front (LF) momentum, represented by LF-momentum distributions and distribution amplitudes, and (iii) the probability densities both in the LF-momentum space and the 3D space given by the Cartesian product of the covariant Ioffe-time and transverse coordinates, in order to perform an analysis of the dynamical features in a complementary way. The proposed analysis of the Minkowskian dynamics inside the pion, though carried out at the initial stage, qualifies the Nakanishi integral representation as an appealing effective tool, with still unexplored potentialities to be exploited for addressing correlations between dynamics and observable properties.
{"title":"Observing the Minkowskian dynamics of the pion on the null-plane","authors":"W. de Paula, E. Ydrefors, J. H. Alvarenga Nogueira, T. Frederico, G. Salmè","doi":"10.1103/physrevd.103.014002","DOIUrl":"https://doi.org/10.1103/physrevd.103.014002","url":null,"abstract":"A dynamical model is applied to the study of the pion valence light-front wave function, obtained from the actual solution of the Bethe-Salpeter equation in Minkowski space, resorting to the Nakanishi integral representation. The kernel is simplified to a ladder approximation containing constituent quarks, an effective massive gluon exchange, and the scale of the extended quark-gluon interaction vertex. These three input parameters carry the infrared scale {Lambda}QCD and are fine-tuned to reproduce the pion weak decay constant, within a range suggested by lattice calculations. Besides f{pi}, we present and discuss other interesting quantities on the null-plane, like: (i) the valence probability, (ii) the dynamical functions depending upon the longitudinal or the transverse components of the light-front (LF) momentum, represented by LF-momentum distributions and distribution amplitudes, and (iii) the probability densities both in the LF-momentum space and the 3D space given by the Cartesian product of the covariant Ioffe-time and transverse coordinates, in order to perform an analysis of the dynamical features in a complementary way. The proposed analysis of the Minkowskian dynamics inside the pion, though carried out at the initial stage, qualifies the Nakanishi integral representation as an appealing effective tool, with still unexplored potentialities to be exploited for addressing correlations between dynamics and observable properties.","PeriodicalId":8457,"journal":{"name":"arXiv: High Energy Physics - Phenomenology","volume":"7 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72730281","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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