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The heavy quark effective field theory Lagrangian is renormalized to order1/m^2. Our technique eliminates operators that vanish by the equation of motionby continuously redefining the heavy quark fields during renormalization. It isconsequently only necessary to calculate the running of the operators that donot vanish by the equation of motion. Our results are found to be consistentwith reparameterization invariance.Comment: 28 pages, Latex, 7 figures, uses espfig.sty. This is a long version  of our paper, giving many details of the calculation. A somewhat shortened  version (HUTP-96/A026) is being submitted for publication. Replaced version:  Two additional references added and discusse

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Renormalizing the heavy quark effective field theory Lagrangian to order<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mi>m</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>

Renormalizing the heavy quark effective field theory Lagrangian to order1/m2