Determination of the charm-quark mass in the MS¯ scheme using charm production data from deep-inelastic scattering at HERA

Abstract We determine the charm-quark mass m c ( m c ) in the MS ¯ scheme using measurements of charm production in deep-inelastic ep scattering at HERA in the kinematic range of photon virtuality 5 GeV 2 Q 2 1000 Ge V 2 and Bjorken scaling variable 10 − 5 x 10 − 1 . The extraction of m c from this process with space-like kinematics provides complementary information to results from hadronic processes. The QCD analysis of the HERA data yields a value of m c ( m c ) = 1.27 ± 0.05 ( exp ) − 0.01 + 0.06 ( scale ) GeV at next-to-leading order and of m c ( m c ) = 1.36 ± 0.04 ( exp ) − 0.00 + 0.04 ( scale ) ± 0.1 ( theory ) GeV at approximate next-to-next-to-leading order. The results are consistent with and of comparable precision as the world average.

[1]  V. Lubicz,et al.  Average up/down, strange and charm quark masses with Nf=2 twisted mass lattice QCD , 2010, 1011.1862.

[2]  F. Barreiro,et al.  A Study of Multi-Jet Events in e+ e- Annihilation , 1980 .

[3]  M. Czakon,et al.  Charm and bottom quark masses from perturbative QCD , 2006, hep-ph/0605023.

[4]  G. Alexander,et al.  Jet analysis of the ϒ(9.46) decay into charged hadrons , 1979 .

[5]  K. Schilcher,et al.  QCD sum rule determination of the charm-quark mass , 2011, 1102.3835.

[6]  S. Moch,et al.  Heavy-quark deep-inelastic scattering with a running mass , 2010, 1011.5790.

[7]  O. Buchmueller,et al.  Fit to moments of inclusive B → X c ℓ ν ¯ and B → X s γ decay distributions using heavy quark expansions in the kinetic scheme , 2005, hep-ph/0507253.

[8]  V. Cerný,et al.  Measurement of the D*(+/-) meson production cross section and F-2(c(c)over-bar) at high Q(2) in ep scattering at HERA , 2010 .

[9]  Carsten Schneider,et al.  Two-loop massive operator matrix elements for unpolarized heavy flavor production to , 2008, Nuclear Physics B.

[10]  K. Schilcher,et al.  Three-loop relation of quark $$\overline {MS} $$ and pole masses , 1990 .

[11]  S. Catani,et al.  High energy factorization and small-x heavy flavour production , 1991 .

[12]  S. Moch,et al.  Higher order QCD corrections to charged-lepton deep-inelastic scattering and global fits of parton distributions , 2008, 0811.1412.

[13]  A. Manohar,et al.  Charm quark mass from inclusive semileptonic B decays , 2005, hep-ph/0509195.

[14]  A. Signer.  The charm quark mass from non-relativistic sum rules , 2008, 0810.1152.

[15]  U. Langenfeld,et al.  Measuring the running top-quark mass , 2009, 0906.5273.

[16]  J. G. Contreras,et al.  Study of charm fragmentation into D* ± mesons in deep-inelastic scattering at HERA , 2008, 0808.1003.

[17]  Alan D. Martin,et al.  Review of Particle Physics (RPP) , 2012 .

[18]  A. Hoang,et al.  Charm mass determination from QCD charmonium sum rules at order $ \alpha_s^3 $ , 2011, 1102.2264.

[19]  J. G. Contreras,et al.  Measurement of D∗± meson production and determination of $F_{2}^{c\bar{c}}$ at low Q2 in deep-inelastic scattering at HERA , 2011, 1106.1028.

[20]  A. Vogt,et al.  On the next-to-next-to leading order QCD corrections to heavy-quark production in deep-inelastic scattering , 2012, 1205.5727.

[21]  J. Smith,et al.  Complete O(αS) corrections to heavy-flavour structure functions in electroproduction , 1993 .

[22]  Johannes Blumlein,et al.  Two-Loop Massive Operator Matrix Elements and Unpolarized Heavy Flavor Production at Asymptotic Values Q^2 >> m^2 , 2007 .

[23]  V. Kartvelishvili,et al.  On the fragmentation functions of heavy quarks into hadrons , 1978 .

[24]  J.A.M. Vermaseren,et al.  The 4-loop quark mass anomalous dimension and the invariant quark mass , 1997, hep-ph/9703284.

[25]  Pole mass of the heavy quark: Perturbation theory and beyond. , 1994, Physical review. D, Particles and fields.

[26]  K. G. Chetyrkin.  Quark Mass Anomalous Dimension to alpha_s**4 , 1997 .

[27]  S. Narison.  Gluon Condensates and m_{c,b} from QCD-Moments and their ratios to Order alpha_s^3 and , 2011, 1105.2922.

[28]  Jaap Velthuis,et al.  Measurement of the neutral current cross section and F-2 structure function for deep inelastic e(+)p scattering at HERA , 2001 .

[29]  N. Kaiser,et al.  Quark-antiquark potential to order 1/m and heavy quark masses , 2011, 1102.0945.

[30]  P. G. Verdini,et al.  Studies of quantum chromodynamics with the ALEPH detector , 1998 .

[31]  Miss A.O. Penney.  (b) , 1974, The New Yale Book of Quotations.

[32]  I. Bierenbaum,et al.  The gluonic operator matrix elements at O(αs2) for DIS heavy flavor production , 2009, 0901.0669.

[33]  Johannes Blumlein,et al.  Mellin moments of the O(αs3) heavy flavor contributions to unpolarized deep-inelastic scattering at Q2≫m2 and anomalous dimensions , 2009, 0904.3563.

[34]  R. Stephenson.  A and V , 1962, The British journal of ophthalmology.

[35]  The three-loop relation between the and the pole quark masses , 1999, hep-ph/9912391.

[36]  Burke,et al.  Measurements of charged-particle inclusive distributions in hadronic decays of the Z boson. , 1990, Physical review letters.

[37]  C. Sturm,et al.  Charm and bottom quark masses: An update , 2009, 0907.2110.

[38]  The relation between the $\bar{\rm MS}$ and the on-shell quark mass at order $\alpha_s^3$ , 1999, hep-ph/9911434.

[39]  S. Moch,et al.  Parton Distribution Functions and Benchmark Cross Sections at NNLO , 2012, 1202.2281.

[40]  E. Lohrmann.  A Summary of Charm Hadron Production Fractions , 2011, 1112.3757.

[41]  Heavy-quark correlations in deep-inelastic electroproduction , 1995, hep-ph/9503484.

[42]  J. Smith,et al.  Charm electroproduction viewed in the variable-flavour number scheme versus fixed-order perturbation theory , 1996, hep-ph/9612398.

[43]  S. Forte,et al.  Heavy quarks in deep-inelastic scattering , 2010, 1001.2312.

[44]  W. Marsden.  I and J , 2012 .

[45]  C. Davies,et al.  High-Precision c and b Masses, and QCD Coupling from Current-Current Correlators in Lattice and Continuum QCD , 2008, 1004.4285.

[46]  J. A. Barrio,et al.  Tuning and test of fragmentation models based on identified particles and precision event shape data , 1996 .

[47]  Johannes Blümlein,et al.  3-, 4-, and 5-flavor next-to-next-to-leading order parton distribution functions from deep-inelastic-scattering data and at hadron colliders , 2010 .

[48]  C. Schneider,et al.  The O(αs3) massive operator matrix elements of O(nf) for the structure function F2(x,Q2) and transversity , 2010, Nuclear physics. B.

[49]  C. Adloff.  Deep inelastic inclusive e p scattering at low x and a determination of alpha(s) , 2001 .

[50]  Zeus Collaborations.  Combined Measurement and QCD Analysis of the Inclusive ep Scattering Cross Sections at HERA , 2009 .

[51]  W. L. van Neerven,et al.  Heavy quark coefficient functions at asymptotic values Q2>>m2 , 1996, hep-ph/9601302.

[52]  S. Moch,et al.  Running heavy-quark masses in DIS , 2011, 1107.0469.

[53]  Peter Uwer,et al.  HATHOR - HAdronic Top and Heavy quarks crOss section calculatoR , 2011, Comput. Phys. Commun..

[54]  J. G. Contreras,et al.  Measurement of the charm and beauty structure functions using the H1 vertex detector at HERA , 2009, 0907.2643.