Engineering (miscellaneous); Physics and Astronomy (miscellaneous)
Abstract :
[en] The holographic graviton soft-wall model, introduced to describe the spectrum of scalar and tensor glueballs, is improved to incorporate the realization of chiral-symmetry as in QCD. Such a goal is achieved by including the longitudinal dynamics of QCD into the scheme. Using the relation between AdS/QCD and light-front dynamics, we construct the appropriate wave function for the pion which is used to calculate several pion observables. The comparison of our results with phenomenology is remarkably successful.
Disciplines :
Space science, astronomy & astrophysics
Author, co-author :
Rinaldi, Matteo; Dipartimento di Fisica e Geologia, INFN section of Perugia, Università degli studi di Perugia, Perugia, Italy
Ceccopieri, Federico ; Université de Liège - ULiège > Département d'astrophysique, géophysique et océanographie (AGO) > Interactions fondamentales en physique et astrophysique (IFPA) ; CNRS, IJCLab, Université Paris-Saclay, Orsay, France
Vento, Vicente; Departamento de Física Teórica-IFIC, Universidad de Valencia-CSIC, Burjassot, Spain
Language :
English
Title :
The pion in the graviton soft-wall model: phenomenological applications
Publication date :
July 2022
Journal title :
European Physical Journal C. Particles and Fields
ISSN :
1434-6044
eISSN :
1434-6052
Publisher :
Springer Science and Business Media Deutschland GmbH
MICINN - Ministerio de Ciencia e Innovacion EU - European Union ERC - European Research Council FEDER - Fonds Européen de Développement Régional
Funding text :
The work was supported in part by (i) Ministerio de Ciencia e Innovación and Agencia Estatal de Investigación; of Spain MCIN/AEI/10.13039/501100011033 (MICINN and UE Feder, Grant No. FPA2016-77177-C2-1-P) and European Regional Development Fund Grant No. PID2019-105439 GB-C21 (ii) the European Union Horizon 2020 research and innovation programme under grant agreement STRONG - 2020 - No 824093, and (iii) the European Research Council under the European Union as Horizon 2020 research and innovation program (Grant Agreement No. 804480).
J.M. Maldacena, The large N limit of superconformal field theories and supergravity. Int. J. Theor. Phys. 38, 1113–1133 (1999). [Adv. Theor. Math. Phys. 2, 231 (1998)]
E. Witten, Anti-de Sitter space, thermal phase transition, and confinement in gauge theories. Adv. Theor. Math. Phys. 2, 505–532 (1998)
H. Fritzsch, M. Gell-Mann, H. Leutwyler. Advantages of the color octet gluon picture. Phys. Lett. 47B, 365–368 (1973)
H. Fritzsch, P. Minkowski, Heavy elementary fermions and proton stability in unified theories. Phys. Lett. 56B, 69–72 (1975)
M. Rinaldi, V. Vento, Scalar and tensor glueballs as gravitons. Eur. Phys. J. A 54, 151 (2018)
M. Rinaldi, V. Vento, Pure glueball states in a Light-Front holographic approach. J. Phys. G47(5), 055104 (2020)
M. Rinaldi, V. Vento, Scalar spectrum in a graviton soft wall model. J. Phys. G47(12), 125003 (2020)
M. Rinaldi, V. Vento, Meson and glueball spectroscopy within the graviton soft wall model. Phys. Rev. D 104(3), 034016 (2021)
J. Polchinski, M.J. Strassler, The String dual of a confining four-dimensional gauge theory (2000)
S.J. Brodsky, G.F. de Teramond, Light-front hadron dynamics and AdS/CFT correspondence. Phys. Lett. B 582, 211–221 (2004)
L. Da Rold, A. Pomarol, Chiral symmetry breaking from five dimensional spaces. Nucl. Phys. B 721, 79–97 (2005)
A. Karch, E. Katz, D.T. Son, M.A. Stephanov, Linear confinement and AdS/QCD. Phys. Rev. D 74, 015005 (2006)
J. Erlich, E. Katz, D.T. Son, M.A. Stephanov, QCD and a holographic model of hadrons. Phys. Rev. Lett. 95, 261602 (2005)
T. Gherghetta, J.I. Kapusta, T.M. Kelley, Chiral symmetry breaking in the soft-wall AdS/QCD model. Phys. Rev. D 79, 076003 (2009)
A. Vega, P. Cabrera, Family of dilatons and metrics for AdS/QCD models. Phys. Rev. D 93(11), 114026 (2016)
T. Sakai, S. Sugimoto, Low energy hadron physics in holographic QCD. Prog. Theor. Phys. 113, 843–882 (2005)
J. Hirn, V. Sanz, Interpolating between low and high energy QCD via a 5-D Yang-Mills model. JHEP 12, 030 (2005)
J. Hirn, V. Sanz, The A(5) and the pion field. Nucl. Phys. B Proc. Suppl. 164, 273–276 (2007)
G. ’t Hooft, A two-dimensional model for mesons. Nucl. Phys. B 75, 461–470 (1974)
Y. Li, P. Maris, X. Zhao, J.P. Vary, Heavy quarkonium in a holographic basis. Phys. Lett. B 758, 118–124 (2016)
M. Burkardt, Mesons in a collinear QCD model. Phys. Rev. D 56, 7105–7118 (1997)
Y. Li, J.P. Vary, Light-front holography with chiral symmetry breaking. Phys. Lett. B 825, 136860 (2022)
G.F. de Teramond, S.J. Brodsky, Longitudinal dynamics and chiral symmetry breaking in holographic light-front QCD. Phys. Rev. D 104(11), 116009 (2021)
S.J. Brodsky, H.-C. Pauli, S.S. Pinsky, Quantum chromodynamics and other field theories on the light cone. Phys. Rep. 301, 299–486 (1998)
S.J. Brodsky, G.F. de Teramond, Hadronic spectra and light-front wavefunctions in holographic QCD. Phys. Rev. Lett. 96, 201601 (2006)
S.J. Brodsky, G.F. de Teramond, Light-front dynamics and AdS/QCD correspondence: the pion form factor in the space- and time-like regions. Phys. Rev. D 77, 056007 (2008)
O. Andreev, 1/q**2 corrections and gauge/string duality. Phys. Rev. D 73, 107901 (2006)
E.F. Capossoli, H. Boschi-Filho, Glueball spectra and Regge trajectories from a modified holographic softwall model. Phys. Lett. B 753, 419–423 (2016)
E.F. Capossoli, M.A.M. Contreras, D. Li, A. Vega, H. Boschi-Filho, Hadronic spectra from deformed AdS backgrounds. Chin. Phys. C 44(6), 064104 (2020)
M.A.M. Contreras, E.F. Capossoli, D. Li, A. Vega, H. Boschi-Filho, Pion form factor from an AdS deformed background. Nucl. Phys. B 977, 115726 (2022)
K. Ghoroku, N. Maru, M. Tachibana, M. Yahiro, Holographic model for hadrons in deformed AdS(5) background. Phys. Lett. B 633, 602–606 (2006)
P. Colangelo, F. De Fazio, F. Jugeau, S. Nicotri, On the light glueball spectrum in a holographic description of QCD. Phys. Lett. B 652, 73–78 (2007)
M.A.M. Contreras, A. Vega, S. Cortes, Light pseudoscalar and axial spectroscopy using AdS/QCD modified soft wall model. Chin. J. Phys. 66, 715–723 (2020)
M. Tanabashi et al., Review of particle physics. Phys. Rev. D 98(3), 030001 (2018)
P.A. Zyla et al., Review of particle physics. PTEP 2020(8), 083C01 (2020)
M. Diehl, T. Feldmann, R. Jakob, P. Kroll, The overlap representation of skewed quark and gluon distributions. Nucl. Phys. B 596, 33–65 (2001). [Erratum: Nucl. Phys. B 605, 647–647 (2001)]
S.J. Brodsky, G.F. de Teramond, Light-front dynamics and AdS/QCD correspondence: gravitational form factors of composite hadrons. Phys. Rev. D 78, 025032 (2008)
G.F. de Teramond, S.J. Brodsky, Light-front holography: a first approximation to QCD. Phys. Rev. Lett. 102, 081601 (2009)
S.D. Drell, T.-M. Yan, Connection of elastic electromagnetic nucleon form-factors at large Q**2 and deep inelastic structure functions near threshold. Phys. Rev. Lett. 24, 181–185 (1970)
Y. Li, J.P. Vary, Longitudinal dynamics for mesons on the light cone. 2 (2022)
P.C. Barry et al., Complementarity of experimental and lattice QCD data on pion parton distributions. 4 (2022)
J. Polchinski, M.J. Strassler, Deep inelastic scattering and gauge/string duality. JHEP 05, 012 (2003)
S. Hong, S. Yoon, M.J. Strassler, On the couplings of vector mesons in AdS/QCD. JHEP 04, 003 (2006)
S. He, M. Huang, Q.-S. Yan, Y. Yang, Confront holographic QCD with Regge trajectories. Eur. Phys. J. C 66, 187–196 (2010)
L. Zou, H.G. Dosch, A very practical guide to light front holographic QCD (2018)
G.B. West, Phenomenological model for the electromagnetic structure of the proton. Phys. Rev. Lett. 24, 1206–1209 (1970)
S.R. Amendolia et al., A measurement of the space-like pion electromagnetic form-factor. Nucl. Phys. B 277, 168 (1986)
H. Ackermann, T. Azemoon, W. Gabriel, H.D. Mertiens, H.D. Reich, G. Specht, F. Janata, D. Schmidt, Determination of the longitudinal and the transverse part in pi+ electroproduction. Nucl. Phys. B 137, 294–300 (1978)
C.J. Bebek et al., Electroproduction of single pions at low epsilon and a measurement of the pion form-factor up to q2 = 10-GeV 2. Phys. Rev. D 17, 1693 (1978)
V. Tadevosyan et al., Determination of the pion charge form-factor for Q**2 = 0.60-GeV**2 - 1.60-GeV**2. Phys. Rev. C 75, 055205 (2007)
P. Brauel, T. Canzler, D. Cords, R. Felst, Guenter Grindhammer, M. Helm, W.D. Kollmann, H. Krehbiel, M. Schadlich, Z. Phys. C 3, 101 (1979)
T. Horn et al., Determination of the Charged Pion Form Factor at Q**2 = 1.60 and 2.45-(GeV/c)**2. Phys. Rev. Lett. 97, 192001 (2006)
S.R. Amendolia et al., A measurement of the pion charge radius. Phys. Lett. B 146, 116–120 (1984)
K.A. Olive et al., Review of particle physics. Chin. Phys. C 38, 090001 (2014)
Z.-F. Cui, D. Binosi, C.D. Roberts, S.M. Schmidt, Pion charge radius from pion+electron elastic scattering data. Phys. Lett. B 822, 136631 (2021)
M. Ahmady, C. Mondal, R. Sandapen, Dynamical spin effects in the holographic light-front wavefunctions of light pseudoscalar mesons. Phys. Rev. D 98(3), 034010 (2018)
G.F. de Teramond, T. Liu, R.S. Sufian, H.G. Dosch, S.J. Brodsky, A. Deur, Universality of generalized parton distributions in light-front holographic QCD. Phys. Rev. Lett. 120(18), 182001 (2018)
M. Rinaldi, Double parton correlations in mesons within AdS/QCD soft-wall models: a first comparison with lattice data. Eur. Phys. J. C 80(7), 678 (2020)
M. Rinaldi, S. Scopetta, M. Traini, V. Vento, Double parton scattering: a study of the effective cross section within a Light-Front quark model. Phys. Lett. B 752, 40–45 (2016)
P. Bartalini, J.R. Gaunt (eds.), Multiple Parton Interactions at the LHC, vol. 29. WSP (2019)
G. Calucci, D. Treleani, Proton structure in transverse space and the effective cross-section. Phys. Rev. D 60, 054023 (1999)
M. Rinaldi, F.A. Ceccopieri, Hadronic structure from double parton scattering. Phys. Rev. D 97(7), 071501 (2018)
M. Diehl, Generalized parton distributions. Phys. Rep. 388, 41–277 (2003)
M. Rinaldi, S. Scopetta, M. Traini, V. Vento, A model calculation of double parton distribution functions of the pion. Eur. Phys. J. C 78(9), 781 (2018)
G.S. Bali, P.C. Bruns, L. Castagnini, M. Diehl, J.R. Gaunt, B. Gläßle, A. Schäfer, A. Sternbeck, C. Zimmermann, Two-current correlations in the pion on the lattice. JHEP 12, 061 (2018)
A. Courtoy, S. Noguera, S. Scopetta, Two-current correlations in the pion in the Nambu and Jona-Lasinio model. Eur. Phys. J. C 80(10), 909 (2020)
A. Courtoy, S. Noguera, S. Scopetta, Double parton distributions in the pion in the Nambu–Jona-Lasinio model. JHEP 12, 045 (2019)
W. Broniowski, E.R. Arriola, Double parton distribution of valence quarks in the pion in chiral quark models. Phys. Rev. D 101(1), 014019 (2020)
G.P. Lepage, S.J. Brodsky, Exclusive processes in perturbative quantum chromodynamics. Phys. Rev. D 22, 2157 (1980)
C. Mondal, S. Nair, S. Jia, X. Zhao, J.P. Vary, Pion to photon transition form factors with basis light-front quantization. Phys. Rev. D 104(9), 094034 (2021)
S.J. Brodsky, P. Damgaard, Y. Frishman, G.P. Lepage, Conformal symmetry: exclusive processes beyond leading order. Phys. Rev. D 33, 1881 (1986)
A.V. Radyushkin, Deep elastic processes of composite particles in field theory and asymptotic freedom. 6 (1977)
S.J. Brodsky, F.-G. Cao, G.F. de Teramond, Evolved QCD predictions for the meson-photon transition form factors. Phys. Rev. D 84, 033001 (2011)
A.V. Efremov, A.V. Radyushkin, Factorization and asymptotical behavior of pion form-factor in QCD. Phys. Lett. B 94, 245–250 (1980)
E.M. Aitala et al., Direct measurement of the pion valence quark momentum distribution, the pion light cone wave function squared. Phys. Rev. Lett. 86, 4768–4772 (2001)
H.-M. Choi, C.-R. Ji, Distribution amplitudes and decay constants for (pi, K, rho, K*) mesons in light-front quark model. Phys. Rev. D 75, 034019 (2007)
R. Arthur, P.A. Boyle, D. Brommel, M.A. Donnellan, J.M. Flynn, A. Juttner, T.D. Rae, C.T.C. Sachrajda, Lattice results for low moments of light meson distribution amplitudes. Phys. Rev. D 83, 074505 (2011)
V.M. Braun, S. Collins, M. Göckeler, P. Pérez-Rubio, A. Schäfer, R.W. Schiel, A. Sternbeck, Second moment of the pion light-cone distribution amplitude from lattice QCD. Phys. Rev. D 92(1), 014504 (2015)
V.M. Braun et al., Moments of pseudoscalar meson distribution amplitudes from the lattice. Phys. Rev. D 74, 074501 (2006)
G.S. Bali, V.M. Braun, M. Göckeler, M. Gruber, F. Hutzler, P. Korcyl, B. Lang, A. Schäfer, Second moment of the pion distribution amplitude with the momentum smearing technique. Phys. Lett. B 774, 91–97 (2017)
G.S. Bali, V.M. Braun, S. Bürger, M. Göckeler, M. Gruber, F. Hutzler, P. Korcyl, A. Schäfer, A. Sternbeck, P. Wein, Light-cone distribution amplitudes of pseudoscalar mesons from lattice QCD. JHEP 08, 065 (2019). [Addendum: JHEP 11, 037 (2020)]
R. Zhang, C. Honkala, H.-W. Lin, J.-W. Chen, Pion and kaon distribution amplitudes in the continuum limit. Phys. Rev. D 102(9), 094519 (2020)
S. Uehara et al., Measurement of γγ∗→ π transition form factor at Belle. Phys. Rev. D 86, 092007 (2012)
B. Aubert et al., Measurement of the gamma gamma* – > pi0 transition form factor. Phys. Rev. D 80, 052002 (2009)
J. Gronberg et al., Measurements of the meson-photon transition form-factors of light pseudoscalar mesons at large momentum transfer. Phys. Rev. D 57, 33–54 (1998)
H.J. Behrend et al., A measurement of the pi0, eta and eta-prime electromagnetic form-factors. Z. Phys. C 49, 401–410 (1991)
F.-G. Cao, T. Huang, B.-Q. Ma, The perturbative pion-photon transition form-factors with transverse momentum corrections. Phys. Rev. D 53, 6582–6585 (1996)
I.V. Musatov, A.V. Radyushkin, Transverse momentum and Sudakov effects in exclusive QCD processes: Gamma* gamma pi0 form-factor. Phys. Rev. D 56, 2713–2735 (1997)
S.J. Brodsky, G.P. Lepage, Large angle two photon exclusive channels in quantum chromodynamics. Phys. Rev. D 24, 1808 (1981)
E. Braaten, QCD corrections to meson-photon transition form-factors. Phys. Rev. D 28, 524 (1983)
L. Chang, K. Raya, X. Wang, Pion parton distribution function in light-front holographic QCD. Chin. Phys. C 44(11), 114105 (2020)
J. Lan, C. Mondal, S. Jia, X. Zhao, J.P. Vary, Pion and kaon parton distribution functions from basis light front quantization and QCD evolution. Phys. Rev. D 101(3), 034024 (2020)
W. de Paula, E. Ydrefors, J.H. Nogueira Alvarenga, T. Frederico, G. Salmè, Parton distribution function in a pion with Minkowskian dynamics. Phys. Rev. D 105(7), L071505 (2022)
S. Noguera, S. Scopetta, Pion transverse momentum dependent parton distributions in the Nambu and Jona-Lasinio model. JHEP 11, 102 (2015)
A. Courtoy, P.M. Nadolsky, Testing momentum dependence of the nonperturbative hadron structure in a global QCD analysis. Phys. Rev. D 103(5), 054029 (2021)
J.S. Conway et al., Experimental study of muon pairs produced by 252-GeV pions on tungsten. Phys. Rev. D 39, 92–122 (1989)
H.-M. Choi, H.-Y. Ryu, C.-R. Ji, Doubly virtual (π, η, η′) → γ∗γ∗ transition form factors in the light-front quark model. Phys. Rev. D 99(7), 076012 (2019)
