TY - JOUR

T1 - Heavy quark contributions to deep inelastic scattering

AU - Witten, Edward

N1 - Funding Information:
* Work supported m part by the National Science Foundation under Grant Number MPS75-22514

PY - 1976/3/1

Y1 - 1976/3/1

N2 - We show that in an asymptotically free gauge theory, the contribution of heavy quarks to deep inelastic structure functions can be computed in terms of the contributions of light quarks. In the standard model with four quark multiplets and an SU(3) gauge group, we estimate that for 10 GeV2 < Q2 < 40 GeV2 the charmed quark contribution to structure functions will be several percent for x < 0.2 and tenths of a percent for x < 0.2. Our main theoretical tool is an expansion, analogous to the usual operator product expansion, of an operator constructed from heavy quark fields as a sum of light quark and gluon operators with c-number coefficients. This expansion is valied order by order in perturbation theory.

AB - We show that in an asymptotically free gauge theory, the contribution of heavy quarks to deep inelastic structure functions can be computed in terms of the contributions of light quarks. In the standard model with four quark multiplets and an SU(3) gauge group, we estimate that for 10 GeV2 < Q2 < 40 GeV2 the charmed quark contribution to structure functions will be several percent for x < 0.2 and tenths of a percent for x < 0.2. Our main theoretical tool is an expansion, analogous to the usual operator product expansion, of an operator constructed from heavy quark fields as a sum of light quark and gluon operators with c-number coefficients. This expansion is valied order by order in perturbation theory.

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U2 - 10.1016/0550-3213(76)90111-5

DO - 10.1016/0550-3213(76)90111-5

M3 - Article

AN - SCOPUS:0001759010

SN - 0550-3213

VL - 104

SP - 445

EP - 476

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 3

ER -