Abstract.
In this QCD analysis, we investigate the impact of recent measurements of heavy-flavor charm and beauty cross sections data sets on the simultaneous determination of Parton Distribution Functions (PDFs) and the strong coupling, \(\alpha_{s}(M^{2}_{Z})\). We perform three different fits based on Variable-Flavour Number Scheme (VFNS) at the Leading Order (LO) and Next-to-Leading Order (NLO) and choose the full HERA run I and II combined data as a new measurement of inclusive Deep Inelastic Scattering (DIS) cross sections for our base data set. We show that including charm and beauty cross sections data reduces the uncertainty of gluon distribution and improves the fit quality up to 4.1% from leading order to next-to-leading order and up to 1.7% for only NLO without and with beauty and charm data contributions.
Similar content being viewed by others
Change history
06 August 2018
The article has been retracted at the request of the Editor-in-Chief.
References
H1 and ZEUS Collaborations (H. Abramowicz et al.), Eur. Phys. J. C 73, 2311 (2013) arXiv:1211.1182 [hep-ex]
H1 Collaboration (F.D. Aaron et al.), Eur. Phys. J. C 65, 89 (2010) arXiv:0907.2643 [hep-ex]
ZEUS Collaboration (H. Abramowicz et al.), JHEP 09, 127 (2014) arXiv:1405.6915 [hep-ex]
S.J. Brodsky, P. Hoyer, C. Peterson, N. Sakai, Phys. Lett. B 93, 451 (1980)
S.J. Brodsky, S. Gardner, Phys. Rev. Lett. 116, 019101 (2016) arXiv:1504.00969 [hep-ph]
F. Lyonnet, A. Kusina, T. Ježo, K. Kovařík, F. Olness, I. Schienbein, J.Y. Yu, JHEP 07, 141 (2015) arXiv:1504.05156 [hep-ph]
S.J. Brodsky, Eur. Phys. J. A 52, 220 (2016)
S.J. Brodsky, arXiv:1611.07194 [hep-ph]
S.J. Brodsky, S. Gardner, Phys. Rev. D 65, 054016 (2002) arXiv:hep-ph/0108121
S.J. Brodsky, E. Chudakov, P. Hoyer, J.M. Laget, Phys. Lett. B 498, 23 (2001) arXiv:hep-ph/0010343
S.J. Brodsky, M. Karliner, Phys. Rev. Lett. 78, 4682 (1997) arXiv:hep-ph/9704379
R. Vogt, S.J. Brodsky, Nucl. Phys. B 478, 311 (1996) arXiv:hep-ph/9512300
R. Vogt, S.J. Brodsky, Phys. Lett. B 349, 569 (1995) arXiv:hep-ph/9503206
R. Vogt, S.J. Brodsky, P. Hoyer, Nucl. Phys. B 383, 643 (1992)
S.J. Brodsky, B. Kopeliovich, I. Schmidt, J. Soffer, Phys. Rev. D 73, 113005 (2006) arXiv:hep-ph/0603238
R. Vogt, S.J. Brodsky, Nucl. Phys. B 438, 261 (1995) arXiv:hep-ph/9405236
S. Dulat, T.J. Hou, J. Gao, J. Huston, J. Pumplin, C. Schmidt, D. Stump, C.-P. Yuan, Phys. Rev. D 89, 073004 (2014) arXiv:1309.0025 [hep-ph]
NNPDF Collaboration (R.D. Ball), arXiv:1605.06515 [hep-ph]
L. Rottoli, PoS DIS2016, 032 (2016) arXiv:1606.09289 [hep-ph]
S. Duan, C.S. An, B. Saghai, Phys. Rev. D 93, 114006 (2016) arXiv:1606.02000 [hep-ph]
A. Vafaee, A. Khorramian, S. Rostami, A. Aleedaneshvar, Nucl. Part. Phys. Proc. 270-272, 27 (2016)
J. Blumlein, Phys. Lett. B 753, 619 (2016) arXiv:1511.00229 [hep-ph]
R.D. Ball, V. Bertone, M. Bonvini, S. Forte, P. Groth Merrild, J. Rojo, L. Rottoli, Phys. Lett. B 754, 49 (2016) arXiv:1510.00009 [hep-ph]
V.A. Bednyakov, M.A. Demichev, G.I. Lykasov, T. Stavreva, M. Stockton, EPJ Web of Conferences 60, 20047 (2013)
M.V. Polyakov, J. Sieverding, JHEP 01, 092 (2016) arXiv:1505.06942 [hep-ph]
C. Schmidt et al., PoS DIS2014, 146 (2014)
V.A. Bednyakov, M.A. Demichev, G.I. Lykasov, T. Stavreva, M. Stockton, Phys. Lett. B 728, 602 (2014) arXiv:1305.3548 [hep-ph]
T.J. Hobbs, arXiv:1612.05686 [hep-ph]
S.J. Brodsky, V.A. Bednyakov, G.I. Lykasov, J. Smiesko, S. Tokar, arXiv:1612.01351 [hep-ph]
S. Koshkarev, arXiv:1610.06125 [hep-ph]
R. Laha, S.J. Brodsky, arXiv:1607.08240 [hep-ph]
A.V. Lipatov, G.I. Lykasov, Y.Y. Stepanenko, V.A. Bednyakov, Phys. Rev. D 94, 053011 (2016) arXiv:1606.04882 [hep-ph]
T. Boettcher, P. Ilten, M. Williams, Phys. Rev. D 93, 074008 (2016) arXiv:1512.06666 [hep-ph]
D0 Collaboration (V.M. Abazov et al.), Phys. Lett. B 714, 32 (2012) arXiv:1203.5865 [hep-ex]
D0 Collaboration (V.M. Abazov et al.), Phys. Rev. Lett. 102, 192002 (2009) arXiv:0901.0739 [hep-ex]
D0 Collaboration (V.M. Abazov et al.), Phys. Lett. B 719, 354 (2013) arXiv:1210.5033 [hep-ex]
D0 Collaboration (V.M. Abazov et al.), Phys. Lett. B 737, 357 (2014) arXiv:1405.3964 [hep-ex]
CDF Collaboration (T. Aaltonen et al.), Phys. Rev. D 81, 052006 (2010) arXiv:0912.3453 [hep-ex]
CDF Collaboration (T. Aaltonen et al.), Phys. Rev. Lett. 111, 042003 (2013) arXiv:1303.6136 [hep-ex]
H1 and ZEUS Collaborations (H. Abramowicz et al.), Eur. Phys. J. C 75, 580 (2015) arXiv:1506.06042 [hep-ex]
A. Vafaee, A.N. Khorramian, Nucl. Phys. B 921, 472 (2017) arXiv:1709.08346 [hep-ph]
xFitter, An open source QCD fit framework. http://xFitter.org, arXiv:1410.4412 [hep-ph]
HERAFitter Team Collaboration (A. Sapronov), J. Phys. Conf. Ser. 608, 012051 (2015)
K. Daum, S. Riemersma, B.W. Harris, E. Laenen, J. Smith, in Hamburg 1995/96, Future physics at HERA (DESY, 1996) pp. 89--101 arXiv:hep-ph/9609478
T. Sjostrand, L. Lonnblad, S. Mrenna, arXiv:hep-ph/0108264
H1 Collaboration (A. Aktas et al.), Eur. Phys. J. C 48, 715 (2006) arXiv:hep-ex/0606004
A. De Roeck, R.S. Thorne, Prog. Part. Nucl. Phys. 66, 727 (2011) arXiv:1103.0555 [hep-ph]
R.D. Ball, L. Del Debbio, S. Forte, A. Guffanti, J.I. Latorre, J. Rojo, M. Ubiali, Nucl. Phys. B 838, 136 (2010) arXiv:1002.4407 [hep-ph]
H1 Collaboration (F.D. Aaron et al.), Eur. Phys. J. C 71, 1769 (2011) 72
W.K. Tung, H.L. Lai, A. Belyaev, J. Pumplin, D. Stump, C.-P. Yuan, JHEP 02, 053 (2007) arXiv:[hep-ph/0611254]
H1 and ZEUS Collaborations (F.D. Aaron et al.), JHEP 01, 109 (2010) arXiv:0911.0884 [hep-ex]
J. Engelen, P. Kooijman, Prog. Part. Nucl. Phys. 41, 1 (1998)
A. Cooper-Sarkar, J. Phys. G 39, 093001 (2012) arXiv:1206.0894 [hep-ph]
S. Frixione, M.L. Mangano, P. Nason, G. Ridolfi, Phys. Lett. B 319, 339 (1993) arXiv:hep-ph/9310350
G. Marchesini, B.R. Webber, G. Abbiendi, I.G. Knowles, M.H. Seymour, L. Stanco, Comput. Phys. Commun. 67, 465 (1992)
H. Jung, Comput. Phys. Commun. 86, 147 (1995)
T. Sjostrand, Comput. Phys. Commun. 39, 347 (1986)
T. Sjostrand, M. Bengtsson, Comput. Phys. Commun. 43, 367 (1987)
L. Lonnblad, Comput. Phys. Commun. 71, 15 (1992)
E.A. Kuraev, L.N. Lipatov, V.S. Fadin, Sov. Phys. JETP 44, 443 (1976) (Zh. Eksp. Teor. Fiz. 71
M. Ciafaloni, Nucl. Phys. B 296, 49 (1988)
H. Jung, G.P. Salam, Eur. Phys. J. C 19, 351 (2001) arXiv:hep-ph/0012143
M. Beneke, Phys. Lett. B 344, 341 (1995) arXiv:hep-ph/9408380
Particle Data Group (K.A. Olive et al.), Chin. Phys. C 38, 090001 (2014)
B. Schmidt, M. Steinhauser, Comput. Phys. Commun. 183, 1845 (2012) arXiv:1201.6149 [hep-ph]
S. Alekhin, S. Moch, Phys. Lett. B 699, 345 (2011) arXiv:1011.5790 [hep-ph]
J. Gao, M. Guzzi, P.M. Nadolsky, Eur. Phys. J. C 73, 2541 (2013) arXiv:1304.3494 [hep-ph]
A.D. Martin, R.G. Roberts, W.J. Stirling, R.S. Thorne, Eur. Phys. J. C 4, 463 (1998) arXiv:hep-ph/9803445
J. Pumplin, D.R. Stump, J. Huston, H.L. Lai, P.M. Nadolsky, W.K. Tung, JHEP 07, 012 (2002) arXiv:hep-ph/0201195
ZEUS Collaboration (S. Chekanov et al.), Phys. Rev. D 67, 012007 (2003) arXiv:hep-ex/0208023
A. Vafaee, A. Khorramian, Nucl. Part. Phys. Proc. 282-284, 32 (2017)
A. Vafaee, A.N. Khorramian, Chin. Phys. C 41, 113104 (2017) arXiv:1709.08402 [hep-ph]
M. Botje, Comput. Phys. Commun. 182, 490 (2011) arXiv:1005.1481 [hep-ph]
V.N. Gribov, L.N. Lipatov, Sov. J. Nucl. Phys. 15, 438 (1972) (Yad. Fiz. 15
L.N. Lipatov, Sov. J. Nucl. Phys. 20, 94 (1975) (Yad. Fiz. 20
Y.L. Dokshitzer, Sov. Phys. JETP 46, 641 (1977) (Zh. Eksp. Teor. Fiz. 73
G. Altarelli, G. Parisi, Nucl. Phys. B 126, 298 (1977)
H.L. Lai, M. Guzzi, J. Huston, Z. Li, P.M. Nadolsky, J. Pumplin, C.-P. Yuan, Phys. Rev. D 82, 074024 (2010) arXiv:1007.2241 [hep-ph]
S. Alekhin, J. Blumlein, S. Klein, S. Moch, arXiv:0908.3128 [hep-ph]
NNPDF Collaboration (R.D. Ball et al.), Nucl. Phys. B 809, 1 (2009) 816
A. Mironov, A. Morozov, JHEP 04, 040 (2010) arXiv:0910.5670 [hep-th]
J.C. Collins, Phys. Rev. D 58, 094002 (1998) arXiv:hep-ph/9806259
A.D. Martin, W.J. Stirling, R.S. Thorne, Phys. Lett. B 636, 259 (2006) arXiv:hep-ph/0603143
S. Forte, E. Laenen, P. Nason, J. Rojo, Nucl. Phys. B 834, 116 (2010) arXiv:1001.2312 [hep-ph]
A.D. Martin, W.J. Stirling, R.S. Thorne, G. Watt, Eur. Phys. J. C 63, 189 (2009) arXiv:0901.0002 [hep-ph]
R.S. Thorne, Phys. Rev. D 73, 054019 (2006) arXiv:hep-ph/0601245
R.S. Thorne, Phys. Rev. D 86, 074017 (2012) arXiv:1201.6180 [hep-ph]
F. James, M. Roos, Comput. Phys. Commun. 10, 343 (1975)
T.J. Hou et al., Phys. Rev. D 95, 034003 (2017) arXiv:1609.07968 [hep-ph]
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by Shi-Lin Zhu
Rights and permissions
About this article
Cite this article
Vafaee, A., Khorramian, A. Impact of beauty and charm H1-ZEUS combined measurements on PDFs and determination of the strong coupling. Eur. Phys. J. A 53, 220 (2017). https://doi.org/10.1140/epja/i2017-12405-4
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epja/i2017-12405-4