**Core Concept**
DNA polymerase is an essential enzyme in eukaryotes responsible for DNA replication and repair. It ensures the accurate transmission of genetic information by adding nucleotides to the growing DNA strand. In eukaryotes, DNA polymerase has a high fidelity, meaning it can correct errors during replication.

**Why the Correct Answer is Right**
The correct DNA polymerase in eukaryotes is **DNA polymerase δ** (pol δ). It is a processive enzyme that can add nucleotides to the 3' end of the DNA strand, whereas DNA polymerase α (pol α) is responsible for initiating DNA synthesis. DNA polymerase δ is essential for leading strand synthesis during DNA replication and has a proofreading activity that helps to correct errors. This ensures the accurate transmission of genetic information.

**Why Each Wrong Option is Incorrect**
**Option A:** Not applicable, as this option is missing.
**Option B:** Incorrect, as DNA polymerase α (pol α) is involved in initiating DNA synthesis, not processive synthesis.
**Option C:** Incorrect, as DNA polymerase ε (pol ε) is involved in lagging strand synthesis during DNA replication, not leading strand synthesis.
**Option D:** Incorrect, as DNA polymerase β (pol β) is involved in DNA repair and has a lower fidelity compared to DNA polymerase δ.

**Clinical Pearl / High-Yield Fact**
It's essential to remember that DNA polymerase δ has a high fidelity, and its proofreading activity helps to correct errors during DNA replication. This ensures the accurate transmission of genetic information and prevents mutations that can lead to genetic disorders.

**Correct Answer: C. DNA polymerase ε (pol ε) is involved in lagging strand synthesis during DNA replication, not leading strand synthesis.**