About recommended fine structure constant value

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Discussion Overview

The discussion centers around the fine structure constant and its dependence on the energy or momentum scale. Participants explore the recommended value of the fine structure constant and the specific energy or momentum scale that corresponds to this value.

Discussion Character

  • Technical explanation, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant states that the value of the fine structure constant logarithmically depends on the momentum/energy scale and questions what the exact scale is for the standard value.
  • Another participant mentions that the value published by the Particle Data Group is extrapolated to Q^2=0, providing a reference for further information.
  • A participant seeks clarification on whether Q^2=0 represents a base value or zero momentum, expressing skepticism about it meaning zero momentum.
  • In response, another participant asserts that Q^2=0 does indeed mean zero momentum.
  • Another participant suggests that the value is technically at the electron mass and mentions finding agreement with a specific calculation involving \alpha(M_W) around 128.

Areas of Agreement / Disagreement

There is some disagreement regarding the interpretation of Q^2=0, with one participant asserting it means zero momentum while another questions this interpretation. The discussion does not reach a consensus on the exact energy/momentum scale corresponding to the recommended value of the fine structure constant.

Contextual Notes

Participants express uncertainty about the implications of Q^2=0 and its relation to momentum, indicating a need for further clarification on definitions and assumptions related to the fine structure constant.

sanko
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value of fine structure constant logarithmically depend upon momentum/energy scale.
so what is exact energy/momentum scale corresponds to standard/recommended value of fine structure constant?
 
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fzero thanks for reply , Q^2=0 is it any base value or it means zero momentum? its unlikely that it means zero momentum.
 
It means zero momentum.
 
I guess it's technically at the electron mass. I ran the value of [tex]\alpha(M_W)\sim 128[/tex] down and found agreement.
 

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