Decay constants of pseudoscalar and vector mesons with improved holographic wavefunction

Qin Chang; Xiao-Nan Li; Xin-Qiang Li; Fang Su

doi:10.1088/1674-1137/42/7/073102

Chinese Physics C> 2018, Vol. 42> Issue(7) : 073102 DOI: 10.1088/1674-1137/42/7/073102

Decay constants of pseudoscalar and vector mesons with improved holographic wavefunction

Qin Chang ^1,2 ,
Xiao-Nan Li ¹ ,
Xin-Qiang Li ² ,
Fang Su ^2,,

1.
Institute of Particle and Nuclear Physics, Henan Normal University, Henan 453007, China
2.
Institute of Particle Physics and Key Laboratory of Quark and Lepton Physics(MOE), Central China Normal University, Wuhan 430079, China
3.
Institute of Particle and Nuclear Physics, Henan Normal University, Henan 453007, China
4.
Institute of Particle Physics and Key Laboratory of Quark and Lepton Physics(MOE), Central China Normal University, Wuhan 430079, China

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Abstract：
We calculate the decay constants of light and heavy-light pseudoscalar and vector mesons with improved soft-wall holographic wavefuntions, which take into account the effects of both quark masses and dynamical spins. We find that the predicted decay constants, especially for the ratio f_V/f_P, based on light-front holographic QCD, can be significantly improved, once the dynamical spin effects are taken into account by introducing the helicity-dependent wavefunctions. We also perform detailed χ² analyses for the holographic parameters (i.e. the mass-scale parameter κ and the quark masses), by confronting our predictions with the data for the charged-meson decay constants and the meson spectra. The fitted values for these parameters are generally in agreement with those obtained by fitting to the Regge trajectories. At the same time, most of our results for the decay constants and their ratios agree with the data as well as the predictions based on lattice QCD and QCD sum rule approaches, with only a few exceptions observed.
- light-front holographic QCD ,
- holographic wavefuntions ,
- decay constant ,
- dynamical spin effect

References

[1]	J. M. Maldacena, Int. J. Theor. Phys., 38: 1113 (1999); Adv. Theor. Math. Phys., 2: 231 (1998)
[2]	S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, Phys. Lett. B, 428: 105 (1998)
[3]	E. Witten, Adv. Theor. Math. Phys., 2: 253 (1998)
[4]	J. Polchinski and M. J. Strassler, Phys. Rev. Lett., 88: 031601 (2002)
[5]	A. Karch, E. Katz, D. T. Son, and M. A. Stephanov, Phys. Rev. D, 74: 015005 (2006)
[6]	G. F. de Teramond and S. J. Brodsky, Phys. Rev. Lett., 102:081601 (2009)
[7]	S. J. Brodsky and G. F. de Teramond, Subnucl. Ser., 45: 139-183 (2009)
[8]	G. F. de Teramond and S. J. Brodsky, AIP Conf. Proc., 1296: 128-139 (2010)
[9]	S. J. Brodsky, G. F. de Teramond, H. G. Dosch et al, Phys. Rept., 584: 1-105 (2015)
[10]	G. F. de Teramond and S. J. Brodsky, Phys. Rev. Lett., 94:201601 (2005)
[11]	S. J. Brodsky and G. F. de Teramond, Phys. Rev. Lett., 96:201601 (2006)
[12]	G. F. de Teramond and S. J. Brodsky, Nucl. Phys. Proc. Suppl., 199: 89-96 (2010)
[13]	G. F. de Teramond, H. G. Dosch, and S. J. Brodsky, Phys. Rev. D, 91: 045040 (2015)
[14]	H. G. Dosch, G. F. de Teramond, and S. J. Brodsky, Phys. Rev. D, 91: 085016 (2015)
[15]	S. J. Brodsky, G. F. de Teramond, H. G. Dosch et al, Phys. Lett. B, 759: 171-177 (2016)
[16]	S. J. Brodsky, G. F. de Teramond, H. G. Dosch et al, Int. J. Mod. Phys. A, 31 (19): 1630029 (2016)
[17]	H. G. Dosch, G. F. de Teramond, and S. J. Brodsky, Phys. Rev. D, 95: 034016 (2017)
[18]	T. Branz, T. Gutsche, V. E. Lyubovitskij et al, Phys. Rev. D, 82: 074022 (2010)
[19]	S. J. Brodsky and G. F. de Teramond, Phys. Rev. D, 77:056007 (2008)
[20]	S. J. Brodsky, F. G. Cao, and G. F. de Teramond, Phys. Rev. D, 84: 033001 (2011)
[21]	S. J. Brodsky and G. F. de Teramond, Phys. Rev. D, 78:025032 (2008)
[22]	S. J. Brodsky, G. F. de Teramond, and A. Deur, Phys. Rev. D, 81: 096010 (2010)
[23]	A. Deur, S. J. Brodsky, and G. F. de Teramond, Phys. Lett. B, 757: 275-281 (2016)
[24]	A. Deur, S. J. Brodsky, and G. F. de Teramond, Prog. Part. Nucl. Phys., 90: 1-74 (2016)
[25]	C. W. Hwang, Phys. Rev. D, 86: 014005 (2012)
[26]	N. R. F. Braga, M. A. Martin Contreras, and S. Diles, Phys. Lett. B, 763: 203-207 (2016)
[27]	A. Vega, I. Schmidt, T. Branz et al, Phys. Rev. D, 80: 055014 (2009)
[28]	R. Swarnkar and D. Chakrabarti, Phys. Rev. D, 92: 074023 (2015)
[29]	M. Ahmady, F. Chishtie, and R. Sandapen, Phys. Rev. D, 95:074008 (2017)
[30]	Q. Chang, S. J. Brodsky, and X. Q. Li, Phys. Rev. D, 95:094025 (2017)
[31]	M. Ahmady, R. Sandapen, and N. Sharma, Phys. Rev. D, 94:074018 (2016)
[32]	G. P. Lepage and S. J. Brodsky, Phys. Rev. D, 22: 2157 (1980)
[33]	A. V. Efremov and A. V. Radyushkin, Phys. Lett. B, 94: 245-250 (1980)
[34]	V. L. Chernyak and A. R. Zhitnitsky, Phys. Rept., 112: 173-318 (1984)
[35]	S. Descotes-Genon and P. Koppenburg, Ann. Rev. Nucl. Part. Sci., 67: 97 (2017)
[36]	M. Artuso, G. Borissov, and A. Lenz, Rev. Mod. Phys., 88:045002 (2016)
[37]	V. Lyubovitskij, T. Branz, T. Gutsche et al, PoS LC, 2010:030 (2010)
[38]	A. Vega, I. Schmidt, T. Gutsche et al, AIP Conf. Proc., 1432: 253-256 (2012)
[39]	T. Gutsche, V. E. Lyubovitskij, I. Schmidt et al, Phys. Rev. D, 90: 096007 (2014)
[40]	J. L. Rosner, S. Stone, and R. S. Van de Water, arXiv:1509.02220 [hep-ph]
[41]	C. Patrignani et al (Particle Data Group), Chin. Phys. C, 40:100001 (2016)
[42]	A. Bharucha, D. M. Straub, and R. Zwicky, JHEP, 1608: 098 (2016)
[43]	Y. Grossman, M. Knig, and M. Neubert, JHEP, 1504: 101 (2015)
[44]	J. R. Forshaw and R. Sandapen, JHEP, 1110: 093 (2011)
[45]	J. R. Forshaw and R. Sandapen, Phys. Rev. Lett., 109:081601 (2012)
[46]	M. Ahmady and R. Sandapen, Phys. Rev. D, 87: 054013 (2013)
[47]	M. Ahmady and R. Sandapen, Phys. Rev. D, 88: 014042 (2013)
[48]	M. Ahmady, R. Campbell, S. Lord et al, Phys. Rev. D, 88:074031 (2013)
[49]	M. Ahmady, R. Campbell, S. Lord et al, Phys. Rev. D, 89:074021 (2014)
[50]	M. R. Ahmady, S. Lord, and R. Sandapen, Phys. Rev. D, 90:074010 (2014)
[51]	M. Ahmady, S. Lord, and R. Sandapen, PoS DIS, 2015: 160 (2015)
[52]	M. Ahmady, S. Lord, and R. Sandapen, Nucl. Part. Phys. Proc., 270-272: 160-163 (2016)
[53]	H. J. Melosh, Phys. Rev. D, 9: 1095 (1974)
[54]	P. L. Chung, W. N. Polyzou, F. Coester et al, Phys. Rev. C, 37: 2000-2015 (1988)
[55]	W. Jaus, Phys. Rev. D, 41: 3394 (1990)
[56]	H. M. Choi and C. R. Ji, Phys. Rev. D, 59: 074015 (1999)
[57]	H. M. Choi and C. R. Ji, Phys. Rev. D, 75: 034019 (2007)
[58]	C. W. Hwang, Phys. Rev. D, 81: 114024 (2010)
[59]	S. J. Brodsky, H. C. Pauli, and S. S. Pinsky, Phys. Rept., 301: 299-486 (1998)
[60]	M. Neubert and B. Stech, Adv. Ser. Direct. High Energy Phys., 15: 294-344 (1998)
[61]	P. Ball, G. W. Jones, and R. Zwicky, Phys. Rev. D, 75: 054004 (2007)
[62]	J. B. Kogut and L. Susskind, Phys. Rev. D, 9: 3391-3399 (1974)
[63]	M. Diehl, Eur. Phys. J. C, 25: 223-232 (2002) [Erratum: ibid. 31: 277 (2003)]
[64]	M. Neubert, Phys. Rept., 245: 259-395 (1994)
[65]	H. Leutwyler, Nucl. Phys. B, 76: 413-444 (1974)
[66]	S. Aoki et al, Eur. Phys. J. C, 77 (2): 112 (2017)
[67]	V. Lubicz, A. Melis, and S. Simula, PoS LATTICE, 2016:291 (2017)
[68]	V. M. Braun et al, JHEP, 1704: 082 (2017)
[69]	S. Narison, Nucl. Part. Phys. Proc., 270-272: 143-153 (2016)
[70]	W. Lucha, D. Melikhov, and S. Simula, PoS EPS-HEP2017,669 (2017)
[71]	M. N. Sergeenko, Z. Phys. C, 64: 315-322 (1994)
[72]	S. S. Gershtein, A. K. Likhoded, and A. V. Luchinsky, Phys. Rev. D, 74: 016002 (2006)
[73]	A. M. Badalian, A. I. Veselov, and B. L. G. Bakker, Phys. Rev. D, 70: 016007 (2004)
[74]	D. Ebert, R. N. Faustov, and V. O. Galkin, Phys. Rev. D, 79:114029 (2009)
[75]	M. Burkardt, Phys. Rev. D, 47: 4628-4633 (1993)
[76]	S. J. Brodsky and D. S. Hwang, Nucl. Phys. B, 543: 239-252 (1999)
[77]	J. P. B. C. de Melo, J. H. O. Sales, T. Frederico et al, Nucl. Phys. A, 631: 574C-579C (1998)
[78]	H. M. Choi and C. R. Ji, Phys. Rev. D, 58: 071901 (1998)
[79]	W. Jaus, Phys. Rev. D, 60: 054026 (1999)
[80]	W. Jaus, Phys. Rev. D, 67: 094010 (2003)
[81]	B. L. G. Bakker, H. M. Choi, and C. R. Ji, Phys. Rev. D, 65:116001 (2002)
[82]	B. L. G. Bakker, H. M. Choi, and C. R. Ji, Phys. Rev. D, 67:113007 (2003)
[83]	H. M. Choi and C. R. Ji, Few Body Syst., 54: 1633-1636 (2013)
[84]	H. M. Choi and C. R. Ji, Phys. Rev. D, 89: 033011 (2014)
[85]	H. Y. Cheng, C. K. Chua, and C. W. Hwang, Phys. Rev. D, 69: 074025 (2004)
[86]	S. G. Zhou and H. C. Pauli, J. Phys. G, 30: 983-987 (2004)
[87]	M. Karliner and H. J. Lipkin, Phys. Lett. B, 650: 185-192 (2007)
[88]	M. Karliner, B. Keren-Zur, H. J. Lipkin et al, Annals Phys., 324: 2-15 (2009)
[89]	H. R. Grigoryan, P. M. Hohler, and M. A. Stephanov, Phys. Rev. D, 82: 026005 (2010)
[90]	K. Jansen et al (ETM Collaboration), Phys. Rev. D, 80:054510 (2009)
[91]	P. Ball and V. M. Braun, Phys. Rev. D, 54: 2182-2193 (1996)
[92]	P. Ball and V. M. Braun, Phys. Rev. D, 58: 094016 (1998)
[93]	P. Ball and R. Zwicky, Phys. Rev. D, 71: 014029 (2005)
[94]	P. Ball and R. Zwicky, JHEP, 0604: 046 (2006)
[95]	P. Dimopoulos et al (ETM Collaboration), PoS LATTICE, 2008: 271 (2008)
[96]	W. Lucha, D. Melikhov, and S. Simula, Phys. Lett. B, 735:12 (2014)
[97]	D. Becirevic, V. Lubicz, F. Sanfilippo, S. Simula, and C. Tarantino, JHEP, 1202: 042 (2012)
[98]	V. Lubicz et al (ETM Collaboration), Phys. Rev. D, 96:034524 (2017)
[99]	D. Becirevic, A. Le Yaouanc, A. Oyanguren et al, arXiv:1407.1019 [hep-ph]
[100]	B. Colquhoun et al (HPQCD Collaboration), Phys. Rev. D, 91: 114509 (2015)

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Qin Chang, Xiao-Nan Li, Xin-Qiang Li and Fang Su. Decay constants of pseudoscalar and vector mesons with improved holographic wavefunction[J]. Chinese Physics C, 2018, 42(7): 073102. doi: 10.1088/1674-1137/42/7/073102

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Received: 2018-03-15

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Supported by National Natural Science Foundation of China (11475055, 11675061, 11435003), Q. Chang is also supported by the Foundation for the Author of National Excellent Doctoral Dissertation of China (201317), the Program for Science and Technology Innovation Talents in Universities of Henan Province (14HASTIT036), the Excellent Youth Foundation of HNNU. X. L. is also supported in part by the self-determined research funds of CCNU from the colleges' basic research and operation of MOE (CCNU18TS029)

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Decay constants of pseudoscalar and vector mesons with improved holographic wavefunction

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Decay constants of pseudoscalar and vector mesons with improved holographic wavefunction

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