Joint resummation for pion wave function and pion transition form factor

Journal of High Energy Physics

Volumn 2014, Issue 1, 2014, Pages

  Li, Hsiang Nan ^a,b,c   Shen, Yue Long ^d   Wang, Yu Ming ^e,f  

^a INSTITUTE OF PHYSICS   (Taiwan)

^b NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

^c NATIONAL TSING HUA UNIVERSITY   (Taiwan)

^d OCEAN UNIVERSITY OF CHINA   (China)

^e RWTH AACHEN UNIVERSITY   (Germany)

^f TECHNICAL UNIVERSITY OF MUNICH   (Germany)

Author keywords

Electromagnetic Processes and Properties; QCD; Resummation

Indexed keywords

EID: 84892416276     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP01(2014)004     Document Type: Article

References (80)

1. S. Catani, M. Ciafaloni and F. Hautmann, Gluon contributions to small x heavy flavor production, Phys. Lett. B 242 (1990) 97 [ INSPIRE ].
2. S. Catani, M. Ciafaloni and F. Hautmann, High-energy factorization and small x heavy flavor production, Nucl. Phys. B 366 (1991) 135 [ INSPIRE ].
3. J.C. Collins and R.K. Ellis, Heavy quark production in very high-energy hadron collisions, Nucl. Phys. B 360 (1991) 3 [ INSPIRE ].
4. E. Levin, M. Ryskin, Y. Shabelski and A. Shuvaev, Heavy quark production in semihard nucleon interactions, Sov. J. Nucl. Phys. 53 (1991) 657 [Yad. Fiz. 53 (1991) 1059] [ INSPIRE ].
5. J. Botts and G.F. Sterman, Hard elastic scattering in QCD: leading behavior, Nucl. Phys. B 325 (1989) 62 [ INSPIRE ].
6. H.-N. Li and G.F. Sterman, The perturbative pion form-factor with Sudakov suppression, Nucl. Phys. B 381 (1992) 129 [ INSPIRE ].
7. T. Huang, Q.-X. Shen and P. Kroll, A study of the applicability of perturbative QCD to the pion form-factor, Z. Phys. C 50 (1991) 139 [ INSPIRE ].
8. J.P. Ralston and B. Pire, Quantum chromotransparency, Phys. Rev. Lett. 65 (1990) 2343 [ INSPIRE ].
9. T factorization, Phys. Rev. D 76 (2007) 034008 [ arXiv:0704.3790 ] [ INSPIRE ].
10. T factorization, Phys. Rev. D 83 (2011) 054029 [ arXiv:1012.4098 ] [ INSPIRE ].
11. T factorization, Phys. Rev. D 85 (2012) 074004 [ arXiv:1201.5066 ] [ INSPIRE ].
12. T factorization, Phys. Rev. D 84 (2011) 034018 [ arXiv:1104.5398 ] [ INSPIRE ].
13. Y.-Y. Charng and H.-N. Li, B meson wave function from the B → γℓν decay, Phys. Rev. D 72 (2005) 014003 [ hep-ph/0505045 ] [ INSPIRE ].
14. T factorization, Phys. Lett. B 712 (2012) 63 [ arXiv:1112.5059 ] [ INSPIRE ].
15. J.C. Collins, What exactly is a parton density?, Acta Phys. Polon. B 34 (2003) 3103 [ hep-ph/0304122 ] [ INSPIRE ].
16. J.C. Collins and D.E. Soper, Back-to-back jets in QCD, Nucl. Phys. B 193 (1981) 381 [Erratum ibid. B 213 (1983) 545] [ INSPIRE ].
17. J.C. Collins, Sudakov form-factors, Adv. Ser. Direct. High Energy Phys. 5 (1989) 573 [ hep-ph/0312336 ] [ INSPIRE ].
18. H.-N. Li, Y.-L. Shen and Y.-M. Wang, Resummation of rapidity logarithms in B meson wave functions, JHEP 02 (2013) 008 [ arXiv:1210.2978 ] [ INSPIRE ].
19. H.-N. Li and J.-L. Lim, Soft gluons in logarithmic summations, Eur. Phys. J. C 10 (1999) 319 [ hep-ph/9903267 ] [ INSPIRE ].
20. T and threshold resummations, Phys. Lett. B 454 (1999) 328 [ hep-ph/9812363 ] [ INSPIRE ].
21. E. Laenen, G.F. Sterman and W. Vogelsang, Higher order QCD corrections in prompt photon production, Phys. Rev. Lett. 84 (2000) 4296 [ hep-ph/0002078 ] [ INSPIRE ].
22. E. Laenen, G.F. Sterman and W. Vogelsang, Recoil and threshold corrections in short distance cross-sections, Phys. Rev. D 63 (2001) 114018 [ hep-ph/0010080 ] [ INSPIRE ].
23. G. Bozzi, B. Fuks and M. Klasen, Joint resummation for slepton pair production at hadron colliders, Nucl. Phys. B 794 (2008) 46 [ arXiv:0709.3057 ] [ INSPIRE ].
24. G.F. Sterman, Soft gluon corrections to short distance hadronic cross-sections, Phys. Lett. B 179 (1986) 281 [ INSPIRE ].
25. G.F. Sterman, Summation of large corrections to short distance hadronic cross-sections, Nucl. Phys. B 281 (1987) 310 [ INSPIRE ].
26. S. Catani and L. Trentadue, Resummation of the QCD perturbative series for hard processes, Nucl. Phys. B 327 (1989) 323 [ INSPIRE ].
27. S. Catani and L. Trentadue, Comment on QCD exponentiation at large x, Nucl. Phys. B 353 (1991) 183 [ INSPIRE ].
28. G. Korchemsky and G. Marchesini, Structure function for large x and renormalization of Wilson loop, Nucl. Phys. B 406 (1993) 225 [ hep-ph/9210281 ] [ INSPIRE ].
29. G. Korchemsky and G. Marchesini, Resummation of large infrared corrections using Wilson loops, Phys. Lett. B 313 (1993) 433 [ INSPIRE ].
30. J.C. Collins, D.E. Soper and G.F. Sterman, Transverse momentum distribution in Drell-Yan pair and W and Z boson production, Nucl. Phys. B 250 (1985) 199 [ INSPIRE ].
31. H.-N. Li, Resummation with Wilson lines off the light cone, arXiv:1308.0413 [ INSPIRE ].
32. S.J. Brodsky, F.-G. Cao and G.F. de Teramond, Evolved QCD predictions for the meson-photon transition form factors, Phys. Rev. D 84 (2011) 033001 [ arXiv:1104.3364 ] [ INSPIRE ].
33. * transition form factor, J. Phys. G 39 (2012) 045003 [ arXiv:1110.2080 ] [ INSPIRE ].
34. * transition form factors in a broad range of momentum transfers, Phys. Rev. D 85 (2012) 036006 [ arXiv:1110.6904 ] [ INSPIRE ].
35. ′ ) transition form factors, Phys. Rev. D 85 (2012) 051901 [ arXiv:1202.4471 ] [ INSPIRE ].
36. ′ ) transition form factors, Phys. Lett. B 718 (2012) 488 [ arXiv:1206.5764 ] [ INSPIRE ].
37. S. Mikhailov and N. Stefanis, Transition form factors of the pion in light-cone QCD sum rules with next-to-next-to-leading order contributions, Nucl. Phys. B 821 (2009) 291 [ arXiv:0905.4004 ] [ INSPIRE ].
38. A. Bakulev, S. Mikhailov, A. Pimikov and N. Stefanis, Pion-photon transition: the new QCD frontier, Phys. Rev. D 84 (2011) 034014 [ arXiv:1105.2753 ] [ INSPIRE ].
39. S.J. Brodsky, F.-G. Cao and G.F. de Teramond, Meson transition form factors in light-front holographic QCD, Phys. Rev. D 84 (2011) 075012 [ arXiv:1105.3999 ] [ INSPIRE ].
40. T factorization, Phys. Rev. D 80 (2009) 074024 [ arXiv:0907.0166 ] [ INSPIRE ].
41. M. Beneke and T. Feldmann, Symmetry breaking corrections to heavy to light B meson form-factors at large recoil, Nucl. Phys. B 592 (2001) 3 [ hep-ph/0008255 ] [ INSPIRE ].
42. I. Cherednikov and N. Stefanis, Wilson lines and transverse-momentum dependent parton distribution functions: a renormalization-group analysis, Nucl. Phys. B 802 (2008) 146 [ arXiv:0802.2821 ] [ INSPIRE ].
43. T. Kurimoto, H.-N. Li and A. Sanda, Leading power contributions to B → pi, ρ transition form-factors, Phys. Rev. D 65 (2002) 014007 [ hep-ph/0105003 ] [ INSPIRE ].
44. H.-N. Li, Threshold resummation for exclusive B meson decays, Phys. Rev. D 66 (2002) 094010 [ hep-ph/0102013 ] [ INSPIRE ].
45. G. Bell, T. Feldmann, Y.-M. Wang and M.W.Y. Yip, Light-cone distribution amplitudes for heavy-quark hadrons, JHEP 11 (2013) 191 [ arXiv:1308.6114 ] [ INSPIRE ].
46. P. Kroll, The form factors for the photon to pseudoscalar meson transitions - an update, Eur. Phys. J. C 71 (2011) 1623 [ arXiv:1012.3542 ] [ INSPIRE ].
47. R. Jakob and P. Kroll, The pion form-factor: Sudakov suppressions and intrinsic transverse momentum, Phys. Lett. B 315 (1993) 463 [Erratum ibid. B 319 (1993) 545] [ hep-ph/9306259 ] [ INSPIRE ].
48. T factorization, Phys. Rev. D 75 (2007) 094020 [ hep-ph/0702085 ] [ INSPIRE ].
49. A. Efremov and A. Radyushkin, Factorization and asymptotical behavior of pion form-factor in QCD, Phys. Lett. B 94 (1980) 245 [ INSPIRE ].
50. G.P. Lepage and S.J. Brodsky, Exclusive processes in perturbative quantum chromodynamics, Phys. Rev. D 22 (1980) 2157 [ INSPIRE ].
51. A. Radyushkin, Shape of pion distribution amplitude, Phys. Rev. D 80 (2009) 094009 [ arXiv:0906.0323 ] [ INSPIRE ].
52. M. Polyakov, On the pion distribution amplitude shape, JETP Lett. 90 (2009) 228 [ arXiv:0906.0538 ] [ INSPIRE ].
53. T. Huang, T. Zhong and X.-G. Wu, Determination of the pion distribution amplitude, Phys. Rev. D 88 (2013) 034013 [ arXiv:1305.7391 ] [ INSPIRE ].
54. T. Huang, X.-G. Wu and T. Zhong, Finding a way to determine the pion distribution amplitude from the experimental data, Chin. Phys. Lett. 30 (2013) 041201 [ arXiv:1303.2301 ] [ INSPIRE ].
55. * γ form factor revisited, Phys. Rev. D 83 (2011) 054020 [ arXiv:1012.4671 ] [ INSPIRE ].
56. * γ form factor: a game changer?, Phys. Rev. D 86 (2012) 077504 [ arXiv:1206.3968 ] [ INSPIRE ].
57. I. Cloët, L. Chang, C. Roberts, S. Schmidt and P. Tandy, Pion distribution amplitude from lattice-QCD, Phys. Rev. Lett. 111 (2013) 092001 [ arXiv:1306.2645 ] [ INSPIRE ].
58. L. Chang et al., Imaging dynamical chiral symmetry breaking: pion wave function on the light front, Phys. Rev. Lett. 110 (2013) 132001 [ arXiv:1301.0324 ] [ INSPIRE ].
59. S.J. Brodsky, G.F. de Téramond and H.G. Dosch, Light-front holographic QCD and the confinement potential, arXiv:1308.5251 [ INSPIRE ].
60. S.J. Brodsky, G.F. de Téramond and H.G. Dosch, Light-front holographic quantum chromodynamics, arXiv:1309.4856 [ INSPIRE ].
61. I. Solovtsov and D. Shirkov, Analytic approach in quantum chromodynamics, Theor. Math. Phys. 120 (1999) 1220 [Teor. Mat. Fiz. 120 (1999) 482] [ hep-ph/9909305 ] [ INSPIRE ].
62. ub| from QCD light-cone sum rules, Phys. Rev. D 83 (2011) 094031 [ arXiv:1103.2655 ] [ INSPIRE ].
63. F. del Aguila and M. Chase, Higher order QCD corrections to exclusive two photon processes, Nucl. Phys. B 193 (1981) 517 [ INSPIRE ].
64. E. Braaten, QCD corrections to meson-photon transition form-factors, Phys. Rev. D 28 (1983) 524 [ INSPIRE ].
65. * π → π in a perturbative QCD, Yad. Fiz. 44 (1986) 507 [Sov. J. Nucl. Phys. 44 (1986) 326] [ INSPIRE ].
66. T factorization of exclusive processes, Phys. Rev. D 67 (2003) 034001 [ hep-ph/0210173 ] [ INSPIRE ].
67. T -factorization of exclusive processes', Phys. Lett. B 674 (2009) 182 [ arXiv:0808.1526 ] [ INSPIRE ].
68. V. Chernyak and A. Zhitnitsky, Exclusive decays of heavy mesons, Nucl. Phys. B 201 (1982) 492 [Erratum ibid. B 214 (1983) 547] [ INSPIRE ].
69. A. Bakulev and S. Mikhailov, The ρ meson and related meson wave functions in QCD sum rules with nonlocal condensates, Phys. Lett. B 436 (1998) 351 [ hep-ph/9803298 ] [ INSPIRE ].
70. CLEO collaboration, J. Gronberg et al., Measurements of the meson-photon transition form-factors of light pseudoscalar mesons at large momentum transfer, Phys. Rev. D 57 (1998) 33 [ hep-ex/9707031 ] [ INSPIRE ].
71. 0 transition form factor, Phys. Rev. D 80 (2009) 052002 [ arXiv:0905.4778 ] [ INSPIRE ].
72. 0 transition form factor at Belle, Phys. Rev. D 86 (2012) 092007 [ arXiv:1205.3249 ] [ INSPIRE ].
73. A. Bakulev, S. Mikhailov, A. Pimikov and N. Stefanis, Comparing antithetic trends of data for the pion-photon transition form factor, Phys. Rev. D 86 (2012) 031501 [ arXiv:1205.3770 ] [ INSPIRE ].
74. N. Stefanis, A. Bakulev, S. Mikhailov and A. Pimikov, Can we understand an auxetic pion-photon transition form factor within QCD?, Phys. Rev. D 87 (2013) 094025 [ arXiv:1202.1781 ] [ INSPIRE ].
75. 0 transition form factor at low-energies from a model-independent approach, Phys. Rev. D 86 (2012) 094021 [ arXiv:1206.2549 ] [ INSPIRE ].
76. A. Bakulev, S. Mikhailov and N. Stefanis, QCD based pion distribution amplitudes confronting experimental data, Phys. Lett. B 508 (2001) 279 [Erratum ibid. B 590 (2004) 309] [ hep-ph/0103119 ] [ INSPIRE ].
77. ub| and constraints on the leading-twist pion distribution amplitude from B → πℓν, Phys. Lett. B 625 (2005) 225 [ hep-ph/0507076 ] [ INSPIRE ]. (Pubitemid 41345222)
78. V. Braun et al., Moments of pseudoscalar meson distribution amplitudes from the lattice, Phys. Rev. D 74 (2006) 074501 [ hep-lat/0606012 ] [ INSPIRE ].
79. R. Arthur et al., Lattice results for low moments of light meson distribution amplitudes, Phys. Rev. D 83 (2011) 074505 [ arXiv:1011.5906 ] [ INSPIRE ].
80. D.G. Dumm, S. Noguera, N. Scoccola and S. Scopetta, The pion distribution amplitude and the pion-photon transition form factor in a nonlocal chiral quark model, arXiv:1311.3595 [ INSPIRE ].